Table of contents for issues of Numerical Algorithms

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Volume 1, Number 1, 1991
Volume 1, Number 2, 1991
Volume 1, Number 3, September, 1991
Volume 1, Number 4, November, 1991
Volume 2, Number 1, February, 1992
Volume 2, Number 2, 1992
Volume 2, Number 3--4, September, 1992
Volume 3, Number 1--4, December, 1992
Volume 4, Number 1--2, January, 1993
Volume 4, Number 3, March, 1993
Volume 4, Number 4, May, 1993
Volume 5, Number 1--4, November, 1993
Volume 6, Number 1--2, January, 1994
Volume 6, Number 3--4, March, 1994
Volume 7, Number 1, June, 1994
Volume 7, Number 2--4, July, 1994
Volume 8, Number 1, 1994
Volume 8, Number 2--4, January, 1994
Volume 9, Number 1--2, May, 1995
Volume 9, Number 3--4, 1995
Volume 10, Number 1--2, July, 1995
Volume 10, Number 3--4, October, 1995
Volume 11, Number 1--4, March, 1996
Volume 12, Number 1--2, April, 1996
Volume 12, Number 3--4, July, 1996
Volume 13, Number 1--2, 1996
Volume 13, Number 3--4, 1996
Volume 14, Number 1--3, March, 1997
Volume 14, Number 4, December, 1997
Volume 15, Number 1, December, 1997
Volume 15, Number 2, December, 1997
Volume 15, Number 3--4, January, 1997
Volume 16, Number 1, December, 1997
Volume 16, Number 2, December, 1997
Volume 16, Number 3--4, December, 1997
Volume 17, Number 1--2, March, 1998
Volume 17, Number 3--4, September, 1998
Volume 18, Number 1, September, 1998
Volume 18, Number 2, September, 1998
Volume 18, Number 3--4, September, 1998
Volume 19, Number 1--4, September, 1998
Volume 20, Number 1, March, 1999
Volume 20, Number 2--3, June, 1999
Volume 20, Number 4, December, 1999
Volume 21, Number 1--4, December, 1999
Volume 22, Number 1, December, 1999
Volume 22, Number 2, December, 1999
Volume 22, Number 3--4, December, 1999
Volume 23, Number 1, March, 2000
Volume 23, Number 2--3, June, 2000
Volume 23, Number 4, December, 2000
Volume 24, Number 1--2, December, 2000
Volume 24, Number 3, September, 2000
Volume 24, Number 4, December, 2000
Volume 25, Number 1--4, September, 2000
Volume 26, Number 1, January, 2001
Volume 26, Number 2, February, 2001
Volume 26, Number 3, March, 2001
Volume 26, Number 4, April, 2001
Volume 27, Number 1, May, 2001
Volume 27, Number 2, June, 2001
Volume 27, Number 3, July, 2001
Volume 27, Number 4, August, 2001
Volume 28, Number 1--4, December, 2001
Volume 29, Number 1--3, March, 2002
Volume 29, Number 4, April, 2002
Volume 30, Number 1, May, 2002
Volume 30, Number 2, June, 2002
Volume 30, Number 3--4, August, 2002
Volume 31, Number 1--4, December, 2002
Volume 32, Number 1, January, 2003
Volume 32, Number 2--4, April, 2003
Volume 33, Number 1--4, August, 2003
Volume 34, Number 1, September, 2003
Volume 34, Number 2--4, December, 2003
Volume 35, Number 1, January, 2004
Volume 35, Number 2--4, April, 2004
Volume 36, Number 1, May, 2004
Volume 36, Number 2, June, 2004
Volume 36, Number 3, July, 2004
Volume 36, Number 4, August, 2004
Volume 37, Number 1--4, December, 2004
Volume 38, Number 1--3, March, 2005
Volume 38, Number 4, April, 2005
Volume 39, Number 1--3, July, 2005
Volume 39, Number 4, August, 2005
Volume 40, Number 1, September, 2005
Volume 40, Number 2, October, 2005
Volume 40, Number 3, November, 2005
Volume 40, Number 4, December, 2005
Volume 41, Number 1, January, 2006
Volume 41, Number 2, February, 2006
Volume 41, Number 3, March, 2006
Volume 41, Number 4, April, 2006
Volume 42, Number 1, May, 2006
Volume 42, Number 2, June, 2006
Volume 42, Number 3--4, July, 2006
Volume 43, Number 1, September, 2006
Volume 43, Number 2, October, 2006
Volume 43, Number 3, November, 2006
Volume 43, Number 4, December, 2006
Volume 44, Number 1, January, 2007
Volume 44, Number 2, February, 2007
Volume 44, Number 3, March, 2007
Volume 44, Number 4, April, 2007
Volume 45, Number 1--4, August, 2007
Volume 46, Number 1, September, 2007
Volume 46, Number 2, October, 2007
Volume 46, Number 3, November, 2007
Volume 46, Number 4, December, 2007
Volume 47, Number 1, January, 2008
Volume 47, Number 2, February, 2008
Volume 47, Number 3, March, 2008
Volume 47, Number 4, April, 2008
Volume 48, Number 1--3, July, 2008
Volume 48, Number 4, August, 2008
Volume 49, Number 1--4, December, 2008
Volume 50, Number 1, January, 2009
Volume 50, Number 2, February, 2009
Volume 50, Number 3, March, 2009
Volume 50, Number 4, April, 2009
Volume 51, Number 1, May, 2009
Volume 51, Number 2, June, 2009
Volume 51, Number 3, July, 2009
Volume 51, Number 4, August, 2009
Volume 52, Number 1, September, 2009
Volume 52, Number 2, October, 2009
Volume 52, Number 3, November, 2009
Volume 52, Number 4, December, 2009
Volume 53, Number 1, January, 2010
Volume 53, Number 2--3, March, 2010
Volume 53, Number 4, April, 2010
Volume 54, Number 1, May, 2010
Volume 54, Number 2, June, 2010
Volume 54, Number 3, July, 2010
Volume 54, Number 4, August, 2010
Volume 55, Number 1, September, 2010
Volume 55, Number 2--3, November, 2010
Volume 55, Number 4, December, 2010
Volume 56, Number 1, January, 2011
Volume 56, Number 2, February, 2011
Volume 56, Number 3, March, 2011
Volume 56, Number 4, April, 2011
Volume 57, Number 1, May, 2011
Volume 57, Number 2, June, 2011
Volume 57, Number 3, July, 2011
Volume 57, Number 4, August, 2011
Volume 58, Number 1, September, 2011
Volume 58, Number 2, October, 2011
Volume 58, Number 3, November, 2011
Volume 58, Number 4, December, 2011
Volume 59, Number 1, January, 2012
Volume 59, Number 2, February, 2012
Volume 59, Number 3, March, 2012
Volume 59, Number 4, April, 2012
Volume 60, Number 1, May, 2012
Volume 60, Number 2, June, 2012
Volume 60, Number 3, July, 2012
Volume 60, Number 4, August, 2012
Volume 61, Number 1, September, 2012
Volume 61, Number 2, October, 2012
Volume 61, Number 3, November, 2012
Volume 61, Number 4, December, 2012
Volume 62, Number 1, January, 2013
Volume 62, Number 2, February, 2013
Volume 62, Number 3, March, 2013
Volume 62, Number 4, April, 2013
Volume 63, Number 1, May, 2013
Volume 63, Number 2, June, 2013
Volume 63, Number 3, July, 2013
Volume 63, Number 4, August, 2013
Volume 64, Number 1, September, 2013
Volume 64, Number 2, October, 2013
Volume 64, Number 3, November, 2013
Volume 64, Number 4, December, 2013
Volume 65, Number 1, January, 2014
Volume 65, Number 2, February, 2014
Volume 65, Number 3, March, 2014
Volume 65, Number 4, April, 2014
Volume 66, Number 1, May, 2014
Volume 66, Number 2, June, 2014
Volume 66, Number 3, July, 2014
Volume 66, Number 4, August, 2014
Volume 67, Number 1, September, 2014
Volume 67, Number 2, October, 2014
Volume 67, Number 3, November, 2014
Volume 67, Number 4, December, 2014
Volume 68, Number 1, January, 2015
Volume 68, Number 2, February, 2015
Volume 68, Number 3, March, 2015
Volume 68, Number 4, April, 2015
Volume 69, Number 1, May, 2015
Volume 69, Number 2, June, 2015
Volume 69, Number 3, July, 2015
Volume 69, Number 4, August, 2015
Volume 70, Number 1, September, 2015
Volume 70, Number 2, October, 2015
Volume 70, Number 3, November, 2015
Volume 70, Number 4, December, 2015
Volume 71, Number 1, January, 2016
Volume 71, Number 2, February, 2016
Volume 71, Number 3, March, 2016
Volume 71, Number 4, April, 2016
Volume 72, Number 1, May, 2016
Volume 72, Number 2, June, 2016
Volume 72, Number 3, July, 2016
Volume 72, Number 4, August, 2016
Volume 73, Number 1, September, 2016
Volume 73, Number 2, October, 2016
Volume 73, Number 3, November, 2016
Volume 73, Number 4, December, 2016
Volume 74, Number 1, January, 2017
Volume 74, Number 2, February, 2017
Volume 74, Number 3, March, 2017
Volume 74, Number 4, April, 2017
Volume 75, Number 1, May, 2017
Volume 75, Number 2, June, 2017
Volume 75, Number 3, July, 2017
Volume 75, Number 4, August, 2017
Volume 76, Number 1, September, 2017
Volume 76, Number 2, October, 2017
Volume 76, Number 3, November, 2017
Volume 76, Number 4, December, 2017
Volume 77, Number 1, January, 2018
Volume 77, Number 2, February, 2018
Volume 77, Number 3, March, 2018
Volume 77, Number 4, April, 2018
Volume 78, Number 1, May, 2018
Volume 78, Number 2, June, 2018
Volume 78, Number 3, July, 2018
Volume 78, Number 4, August, 2018
Volume 79, Number 1, September, 2018
Volume 79, Number 2, October, 2018
Volume 79, Number 3, November, 2018
Volume 79, Number 4, December, 2018
Volume 80, Number 1, January, 2019
Volume 80, Number 2, February, 2019
Volume 80, Number 3, March, 2019
Volume 80, Number 4, April, 2019
Volume 81, Number 1, May, 2019
Volume 81, Number 2, June, 2019
Volume 81, Number 3, July, 2019
Volume 81, Number 4, August, 2019
Volume 82, Number 1, September, 2019
Volume 82, Number 2, October, 2019
Volume 82, Number 3, November, 2019
Volume 82, Number 4, December, 2019
Volume 83, Number 1, January, 2020
Volume 83, Number 2, February, 2020
Volume 83, Number 3, March, 2020


Numerical Algorithms
Volume 1, Number 1, 1991

           William R. Ferng and   
              Gene H. Golub and   
             Robert J. Plemmons   Adaptive Lanczos methods for recursive
                                  condition estimation . . . . . . . . . . 1--19
            Daniel L. Boley and   
               Sylvan Elhay and   
              Gene H. Golub and   
            Martin H. Gutknecht   Nonsymmetric Lanczos and finding
                                  orthogonal polynomials associated with
                                  indefinite weights . . . . . . . . . . . 21--43
             Rekha Kulkarni and   
            Pierre-Jean Laurent   ${Q}$-splines  . . . . . . . . . . . . . 45--73
           Charles A. Micchelli   Using the refinement equation for the
                                  construction of pre-wavelets . . . . . . 75--116

Numerical Algorithms
Volume 1, Number 2, 1991

           Phillip J. Barry and   
              Ronald N. Goldman   Shape parameter deletion for Pólya curves 121--137
                 M. A. Barkatou   Characterization of regular singular
                                  linear systems of difference equations   139--154
                 J. M. Carnicer   On best constrained interpolation  . . . 155--176
             Paul Sablonni\`ere   Comparison of four algorithms
                                  accelerating the convergence of a subset
                                  of logarithmic fixed point sequences . . 177--197
           Claude Brezinski and   
                  Hassane Sadok   Avoiding breakdown in the CGS algorithm  199--206
               C. Brezinski and   
               M. Redivo Zaglia   A new presentation of orthogonal
                                  polynomials with applications to their
                                  computation  . . . . . . . . . . . . . . 207--221

Numerical Algorithms
Volume 1, Number 3, September, 1991

    A. le Méhauté   Taylorian fields and subdivision
                                  algorithms . . . . . . . . . . . . . . . 225--235
                   Ana C. Matos   Acceleration results for the vector
                                  E-algorithm  . . . . . . . . . . . . . . 237--260
               C. Brezinski and   
           M. Redivo Zaglia and   
                       H. Sadok   Avoiding breakdown and near-breakdown in
                                  Lanczos type algorithms  . . . . . . . . 261--284
             Marc Van Barel and   
               Adhemar Bultheel   The computation of non-perfect
                                  Padé--Hermite approximants  . . . . . . . 285--304
                 G. Csordas and   
                  A. Ruttan and   
                    R. S. Varga   The Laguerre inequalities with
                                  applications to a problem associated
                                  with the Riemann hypothesis  . . . . . . 305--329

Numerical Algorithms
Volume 1, Number 4, November, 1991

       Charles A. Micchelli and   
           Christophe Rabut and   
           Florencio I. Utreras   Using the refinement equation for the
                                  construction of pre-wavelets. III.
                                  Elliptic splines . . . . . . . . . . . . 331--351
              Michael Berry and   
                     Gene Golub   Estimating the largest singular values
                                  of large sparse matrices via modified
                                  moments  . . . . . . . . . . . . . . . . 353--373
           G. Mühlbach and   
                       M. Gasca   Multivariate polynomial interpolation
                                  under projectivities. I. Lagrange and
                                  Newton interpolation formulas  . . . . . 375--399
             Florent Cordellier   On the use of Kronecker's algorithm in
                                  the generalized rational interpolation
                                  problem  . . . . . . . . . . . . . . . . 401--413


Numerical Algorithms
Volume 2, Number 1, February, 1992

                Serge Dubuc and   
                    Abdul Malik   Convex hull of powers of a complex
                                  number, trinomial equations and the
                                  Farey sequence . . . . . . . . . . . . . 1--32
                   Ming Jun Lai   Fortran subroutines for ${B}$-nets of
                                  box splines on three- and
                                  four-directional meshes  . . . . . . . . 33--38
               Christophe Rabut   Elementary $m$-harmonic cardinal
                                  ${B}$-splines  . . . . . . . . . . . . . 39--61 (or 39--62??)
               Christophe Rabut   High level $m$-harmonic cardinal
                                  ${B}$-splines  . . . . . . . . . . . . . 63--84
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   The computation of orthogonal rational
                                  functions and their interpolating
                                  properties . . . . . . . . . . . . . . . 85--114

Numerical Algorithms
Volume 2, Number 2, 1992

                    Naoki Osada   Extensions of Levin's transformations to
                                  vector sequences . . . . . . . . . . . . 121--131
               C. Brezinski and   
           M. Redivo Zaglia and   
                       H. Sadok   Addendum to: ``Avoiding breakdown and
                                  near-breakdown in Lanczos type
                                  algorithms'' [Numer. Algorithms \bf 1
                                  (1991), no. 3, 261--284, MR 92j:65041]   133--136
               Kunio Tanabe and   
                 Masahiko Sagae   Pivoting strategy for rank-one
                                  modification of ${LDM}^{\sf t}$-like
                                  factorization  . . . . . . . . . . . . . 137--153
              Stefan Paszkowski   Convergence acceleration of continued
                                  fractions of Poincaré's type $1$  . . . . 155--170
           Richard S. Varga and   
              Amos J. Carpenter   Some numerical results on best uniform
                                  rational approximation of $x^\alpha$ on
                                  $[0,1]$  . . . . . . . . . . . . . . . . 171--185
                  J. L. Merrien   A family of Hermite interpolants by
                                  bisection algorithms . . . . . . . . . . 187--200
                 Stan Cabay and   
                  George Labahn   A superfast algorithm for
                                  multidimensional Padé systems . . . . . . 201--224
                   M. Gasca and   
       Charles A. Micchelli and   
              J. M. Peña   Almost strictly totally positive
                                  matrices . . . . . . . . . . . . . . . . 225--236

Numerical Algorithms
Volume 2, Number 3--4, September, 1992

             Paul Sablonni\`ere   A short note on the generalized Euler
                                  transform for the summation of power
                                  series . . . . . . . . . . . . . . . . . 241--254
                   M. Gasca and   
               G. Mühlbach   Multivariate polynomial interpolation
                                  under projectivities. II.
                                  Neville--Aitken formulas . . . . . . . . 255--277
                  Thomas Huckle   A note on skewcirculant preconditioners
                                  for elliptic problems  . . . . . . . . . 279--286
           Pierre Verlinden and   
                  Ann Haegemans   An asymptotic expansion in wavelet
                                  analysis and its application to accurate
                                  numerical wavelet decomposition  . . . . 287--298
                   T. Tommasini   A new algorithm for special Vandermonde
                                  systems  . . . . . . . . . . . . . . . . 299--306
                       A. Croft   An application of convergence
                                  acceleration techniques to a class of
                                  two-point boundary value problems on a
                                  semi-infinite domain . . . . . . . . . . 307--320
                   G. A. Watson   Linear best approximation using a class
                                  of polyhedral norms  . . . . . . . . . . 321--335
            Robert D. Skeel and   
                    Hon-Wah Tam   Limits of parallelism in explicit ODE
                                  methods  . . . . . . . . . . . . . . . . 337--349
            Craig MacDonald and   
               Wayne H. Enright   Implications of order reduction for
                                  implicit Runge--Kutta methods  . . . . . 351--369
       Christian H. Bischof and   
           Per Christian Hansen   A block algorithm for computing
                                  rank-revealing ${QR}$ factorizations . . 371--391
               Ana C. Matos and   
            Marc Prévost   Acceleration property for the columns of
                                  the ${E}$-algorithm  . . . . . . . . . . 393--408
               Rembert Reemtsen   A cutting plane method for solving
                                  minimax problems in the complex plane    409--436


Numerical Algorithms
Volume 3, Number 1--4, December, 1992

              Daniel Bessis and   
                Carlos R. Handy   Moment problem formulation of the
                                  Schrödinger equation  . . . . . . . . . . 1--16
              Philip Rabinowitz   Extrapolation methods in numerical
                                  integration  . . . . . . . . . . . . . . 17--28
        Bernhard Beckermann and   
             Carsten Carstensen   A reliable modification of the cross
                                  rule for rational Hermite interpolation  29--44
        Bernhard Beckermann and   
                  George Labahn   A uniform approach for Hermite Padé and
                                  simultaneous Padé approximants and their
                                  matrix-type generalizations  . . . . . . 45--54
                   T. Bloom and   
             D. S. Lubinsky and   
                       H. Stahl   Interpolatory integration rules and
                                  orthogonal polynomials with varying
                                  weights  . . . . . . . . . . . . . . . . 55--65
  Catherine M. Bonan-Hamada and   
           William B. Jones and   
                W. J. Thron and   
                    Arne Magnus   Para-orthogonal Laurent polynomials and
                                  associated sequences of rational
                                  functions  . . . . . . . . . . . . . . . 67--74
               C. Brezinski and   
                       H. Sadok   Some vector sequence transformations
                                  with applications to systems of
                                  equations  . . . . . . . . . . . . . . . 75--80
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   A Favard theorem for orthogonal rational
                                  functions on the unit circle . . . . . . 81--89
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   A moment problem associated to rational
                                  Szeg\Ho functions  . . . . . . . . . . . 91--104
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   Orthogonal rational functions and
                                  quadrature on the unit circle  . . . . . 105--116
                 M. Camacho and   
        P. González-Vera   Rational approximants to symmetric
                                  formal Laurent series  . . . . . . . . . 117--124
                 J. M. Carnicer   Rational interpolation with a single
                                  variable pole  . . . . . . . . . . . . . 125--132
              C. Carstensen and   
               G. Mühlbach   The Neville--Aitken formula for rational
                                  interpolants with prescribed poles . . . 133--141
                John P. Coleman   Rational approximations for the cosine
                                  function: ${\rm P}$-acceptability and
                                  order  . . . . . . . . . . . . . . . . . 143--158
                 Annie Cuyt and   
               Brigitte Verdonk   Multivariate rational data fitting:
                                  general data structure, maximal accuracy
                                  and object orientation . . . . . . . . . 159--172
                    Z. Da Rocha   Implementation of the recurrence
                                  relations of biorthogonality . . . . . . 173--183
             M. G. de Bruin and   
               K. A. Driver and   
                 D. S. Lubinsky   Convergence of simultaneous Hermite--Padé
                                  approximants to the $n$-tuple of
                                  $q$-hypergeometric series
                                  $\{{}_1\!\Phi_1({1,1\choose c,\gamma_j}
                                  and z)\}^n_{j=1}$  . . . . . . . . . . . 185--192
              Mariano Gasca and   
 José J. Martínez   Bivariate Hermite--Birkhoff
                                  interpolation and Vandermonde
                                  determinants . . . . . . . . . . . . . . 193--199
C. González-Concepción and   
    P. González-Vera and   
                  E. Hendriksen   Matrix orthogonal Laurent polynomials
                                  and two-point Padé approximants . . . . . 201--209
   S. González-Pinto and   
    P. González-Vera and   
                   J. C. Santos   On extrapolation of Jagerman and Stetter
                                  rules  . . . . . . . . . . . . . . . . . 211--222
        P. R. Graves-Morris and   
                     R. Thukral   Solution of integral equations using
                                  function-valued Padé approximants. II . . 223--234
                   N. Hayek and   
    P. González-Vera and   
         F. Pérez-Acosta   Rational approximation to Neumann series
                                  of Bessel functions  . . . . . . . . . . 235--244
          Herbert H. H. Homeier   A Levin-type algorithm for accelerating
                                  the convergence of Fourier series  . . . 245--254
           William B. Jones and   
         Olav Njåstad and   
               Haakon Waadeland   Asymptotics for Szeg\Ho polynomial zeros 255--264
                  A. G. Law and   
                C. N. Zhang and   
               A. Rezazadeh and   
                L. Jódar   Evaluation of a rational function  . . . 265--272
        Hervé Le Ferrand   The quadratic convergence of the
                                  topological $\epsilon$-algorithm for
                                  systems of nonlinear equations . . . . . 273--283
 Francisco Marcellán and   
              Gabriela Sansigre   Quadratic decomposition of orthogonal
                                  polynomials: a matrix approach . . . . . 285--298
                      P. Maroni   Two-dimensional orthogonal polynomials,
                                  their associated sets and the
                                  co-recursive sets  . . . . . . . . . . . 299--311
                   Ana C. Matos   Convergence and acceleration properties
                                  for the vector $\epsilon$-algorithm  . . 313--319
           Makoto Murofushi and   
                Hideko Nagasaka   On the internal stepsize of an
                                  extrapolation algorithm for IVP in ODE   321--334
                    Naoki Osada   Extrapolation methods for some singular
                                  fixed point sequences  . . . . . . . . . 335--344
     Miguel A. Piñar and   
         Teresa E. Pérez   On higher order Padé-type approximants
                                  with some prescribed coefficients in the
                                  numerator  . . . . . . . . . . . . . . . 345--352
               M. Redivo Zaglia   Particular rules for the
                                  ${\Theta}$-algorithm . . . . . . . . . . 353--369
                  D. E. Roberts   Clifford algebras and vector-valued
                                  rational forms. II . . . . . . . . . . . 371--381
           Frode Rònning   PC-fractions and Szeg\Ho polynomials
                                  associated with starlike univalent
                                  functions  . . . . . . . . . . . . . . . 383--391
                    A. Ronveaux   Sobolev inner products and orthogonal
                                  polynomials of Sobolev type  . . . . . . 393--399
             Paul Sablonni\`ere   Asymptotic behaviour of iterated
                                  modified ${\Delta}^2$ and $\theta_2$
                                  transforms on some slowly convergent
                                  sequences  . . . . . . . . . . . . . . . 401--409
            Tetsuya Sakurai and   
            Hiroshi Sugiura and   
                   Tatsuo Torii   Numerical factorization of a polynomial
                                  by rational Hermite interpolation  . . . 411--418
    Franciszek Hugon Szafraniec   On extending backwards positive definite
                                  sequences  . . . . . . . . . . . . . . . 419--425
                  Xue Cheng Tai   Global extrapolation with a parallel
                                  splitting method . . . . . . . . . . . . 427--440
                    W. J. Thron   Limit periodic Schur algorithms, the
                                  case $\vert\gamma\vert=1,\sum d_n<\infty$ 441--450
               M. Van Barel and   
                    A. Bultheel   A general module-theoretic framework for
                                  vector M-Padé and matrix rational
                                  interpolation  . . . . . . . . . . . . . 451--461
          Jeannette Van Iseghem   Best choice of the pole for the Padé-type
                                  approximant of a Stieltjes function  . . 463--475
          Ernst Joachim Weniger   Interpolation between sequence
                                  transformations  . . . . . . . . . . . . 477--486


Numerical Algorithms
Volume 4, Number 1--2, January, 1993

         Jean-Pierre Dedieu and   
         Jean-Claude Yakoubsohn   Computing the real roots of a polynomial
                                  by the exclusion algorithm . . . . . . . 1--24
             Laurent Stolovitch   On the computation of a versal family of
                                  matrices . . . . . . . . . . . . . . . . 25--46
            Florin Dan Barb and   
                   Martin Weiss   Model reduction techniques for
                                  sampled-data systems . . . . . . . . . . 47--64
                 Marco Marletta   Automatic solution of regular and
                                  singular vector Sturm--Liouville
                                  problems . . . . . . . . . . . . . . . . 65--99
          Sabine Van Huffel and   
                  Hong Yuan Zha   An efficient total least squares
                                  algorithm based on a rank-revealing
                                  two-sided orthogonal decomposition . . . 101--133
                      Th. Sonar   On the design of an upwind scheme for
                                  compressible flow on general
                                  triangulations . . . . . . . . . . . . . 135--149
       Per Christian Hansen and   
                  Henrik Gesmar   Fast orthogonal decomposition of rank
                                  deficient Toeplitz matrices  . . . . . . 151--166
                 Kuiyuan Li and   
                   Tien-Yien Li   A homotopy algorithm for a symmetric
                                  generalized eigenproblem . . . . . . . . 167--195
             Wilhelm Niethammer   A note on the implementation of the
                                  successive overrelaxation method for
                                  linear complementarity problems  . . . . 197--200

Numerical Algorithms
Volume 4, Number 3, March, 1993

                    Yuan Xu and   
                W. A. Light and   
                   E. W. Cheney   Constructive methods of approximation by
                                  ridge functions and radial functions . . 205--223
                Paul Levrie and   
               Adhemar Bultheel   A note on Thiele $n$-fractions . . . . . 225--239
    Maria A. Diniz-Ehrhardt and   
José Mario Martínez   A parallel projection method for
                                  overdetermined nonlinear systems of
                                  equations  . . . . . . . . . . . . . . . 241--262
                Nguyen Huu Cong   ${A}$-stable diagonally implicit
                                  Runge--Kutta--Nyström methods for
                                  parallel computers . . . . . . . . . . . 263--281
                   M. Calvo and   
            J. I. Montijano and   
               L. Rández   On the change of step size in multistep
                                  codes  . . . . . . . . . . . . . . . . . 283--304

Numerical Algorithms
Volume 4, Number 4, May, 1993

                 Sylvain Durand   Convergence of cascade algorithms
                                  introduced by I. Daubechies  . . . . . . 307--322
             Kyrre Stròm   Products of ${B}$-patches  . . . . . . . 323--337
            Carmelo Clavero and   
              Francisco Lisbona   Uniformly convergent finite difference
                                  methods for singularly perturbed
                                  problems with turning points . . . . . . 339--359
                 Khalide Jbilou   A general projection algorithm for
                                  solving systems of linear equations  . . 361--377
                Pascal Joly and   
          Gérard Meurant   Complex conjugate gradient methods . . . 379--406


Numerical Algorithms
Volume 5, Number 1--4, November, 1993

                   Carl de Boor   On the evaluation of box splines . . . . 5--23
                J. C. Mason and   
               G. Rodriguez and   
                      S. Seatzu   Orthogonal splines based on
                                  ${B}$-splines---with applications to
                                  least squares, smoothing and
                                  regularisation problems  . . . . . . . . 25--40
            B. L. MacCarthy and   
                 C. S. Syan and   
            M. Caulfield-Browne   Splines in motion --- An introduction to
                                  MODUS and some unresolved approximation
                                  problems . . . . . . . . . . . . . . . . 41--49
                 Gerlind Plonka   An efficient algorithm for periodic
                                  Hermite spline interpolation with
                                  shifted nodes  . . . . . . . . . . . . . 51--62
            Leonardo Traversoni   An algorithm for natural spline
                                  interpolation  . . . . . . . . . . . . . 63--70
                 Ruud van Damme   An algorithm for determining the
                                  approximation orders of multivariate
                                  periodic spline spaces . . . . . . . . . 71--81
               I. Barrodale and   
                R. Kuwahara and   
                R. Poeckert and   
                        D. Skea   Side-scan sonar image processing using
                                  thin plate splines and control point
                                  matching . . . . . . . . . . . . . . . . 85--98
                M. J. D. Powell   Truncated Laurent expansions for the
                                  fast evaluation of thin plate splines    99--120
                David Handscomb   Local recovery of a solenoidal vector
                                  field by an extension of the thin-plate
                                  spline technique . . . . . . . . . . . . 121--129
                      M. G. Cox   Reliable determination of interpolating
                                  polynomials  . . . . . . . . . . . . . . 133--154
               Jean-Paul Berrut   A closed formula for the \vCeby\vsev
                                  barycentric weights of optimal
                                  approximation in ${H}^2$ . . . . . . . . 155--163
        Morten Dæhlen and   
                Michael Floater   Iterative polynomial interpolation and
                                  data compression . . . . . . . . . . . . 165--177
            Jürgen Prestin   Lagrange interpolation on extended
                                  generalized Jacobi nodes . . . . . . . . 179--190
             I. J. Anderson and   
                  M. G. Cox and   
                    J. C. Mason   Tensor-product spline interpolation to
                                  data on or near a family of lines  . . . 193--204
                  L. Lenarduzzi   Practical selection of neighbourhoods
                                  for local regression in the bivariate
                                  case . . . . . . . . . . . . . . . . . . 205--213
                       S. Thiry   Extremal signatures for bivariate
                                  Chebyshev approximation problems . . . . 215--225
                Wolfgang Dahmen   Decomposition of refinable spaces and
                                  applications to operator equations . . . 229--245
                    W. A. Light   Techniques for generating approximations
                                  via convolution kernels  . . . . . . . . 247--261
                   G. A. Watson   On matrix approximation problems with Ky
                                  Fan $k$ norms  . . . . . . . . . . . . . 263--272
                I. D. Coope and   
            P. R. Graves-Morris   The rise and fall of the vector
                                  $\epsilon$-algorithm . . . . . . . . . . 275--286
              Bernd Fischer and   
                Jan Modersitzki   An algorithm for complex linear
                                  approximation based on semi-infinite
                                  programming  . . . . . . . . . . . . . . 287--297
               M.-P. Istace and   
                   J.-P. Thiran   On computing best Chebyshev complex
                                  rational approximants  . . . . . . . . . 299--308
Kristján Jónasson   A projected conjugate gradient method
                                  for sparse minimax problems  . . . . . . 309--323
              Jack Williams and   
                 Z. Kalogiratou   Nonlinear Chebyshev fitting from the
                                  solution of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 325--337
              M. T. Bozzini and   
                   C. Paracelli   An algorithm for constrained smoothing
                                  functions  . . . . . . . . . . . . . . . 341--351
            Raymond H. Chan and   
            Ping Tak Peter Tang   Constrained minimax approximation and
                                  optimal preconditioners for Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 353--364
                  G. H. Elliott   Least squares data fitting using shape
                                  preserving piecewise approximations  . . 365--371
           Charles A. Micchelli   Optimal estimation of linear operators
                                  from inaccurate data: a second look  . . 375--390
         Giuseppe Rodriguez and   
              Sebastiano Seatzu   Approximation methods for the finite
                                  moment problem . . . . . . . . . . . . . 391--405
            Ken W. Bosworth and   
                    Upmanu Lall   An ${L}_1$ smoothing spline algorithm
                                  with cross validation  . . . . . . . . . 407--417
                D. de Falco and   
             K. M. Frontini and   
                     L. Gotusso   A unifying approach to the
                                  regularization of Fourier polynomials    419--424
             Claudio Barone and   
                 Ezio Venturino   On the numerical evaluation of Cauchy
                                  transforms . . . . . . . . . . . . . . . 429--436
                     L. Brutman   An application of the generalized
                                  alternating polynomials to the numerical
                                  solution of Fredholm integral equations  437--442
                 C. Dagnino and   
              V. Demichelis and   
                       E. Santi   An algorithm for numerical integration
                                  based on quasi-interpolating splines . . 443--452
                 Manfred Tasche   Fast algorithms for discrete
                                  Chebyshev--Vandermonde transforms and
                                  applications . . . . . . . . . . . . . . 453--464
               B. P. Butler and   
                   A. B. Forbes   An algorithm for combining data sets
                                  having different frames of reference . . 467--477
                P. Ciarlini and   
                      F. Pavese   Application of special reduction
                                  procedures to metrological data  . . . . 479--489
                  M. G. Cox and   
               P. M. Harris and   
                D. A. Humphreys   An algorithm for the removal of noise
                                  and jitter in signals and its
                                  application to picosecond electrical
                                  measurement  . . . . . . . . . . . . . . 491--508
              Rudolf Drieschner   Chebyshev approximation to data by
                                  geometric elements . . . . . . . . . . . 509--522
                   A. B. Forbes   Generalized regression problems in
                                  metrology  . . . . . . . . . . . . . . . 523--533
             H.-P. Helfrich and   
                       D. Zwick   A trust region method for implicit
                                  orthogonal distance regression . . . . . 535--545
             Emanuele Galligani   ${C}^1$ surface interpolation with
                                  constraints  . . . . . . . . . . . . . . 549--555
          Bas J. Hogervorst and   
                 Ruud van Damme   Degenerate polynomial patches of degree
                                  $11$ for almost ${GC}^2$ interpolation
                                  over triangles . . . . . . . . . . . . . 557--568
              P. R. Pfluger and   
                      M. Neamtu   On degenerate surface patches  . . . . . 569--575
                   Shmuel Rippa   Scattered data interpolation using
                                  minimum energy Powell--Sabin elements
                                  and data dependent triangulations  . . . 577--587
                    Eric Grosse   Approximation in VLSI simulation . . . . 591--601
                   R. Model and   
                      L. Trahms   An inverse problem of magnetic source
                                  localization . . . . . . . . . . . . . . 603--610
              A. Potchinkov and   
                    R. Reemtsen   A globally most violated cutting plane
                                  method for complex minimax problems with
                                  application to digital filter design . . 611--620
         Venkat V. S. S. Sastry   Algorithms for the computation of Hankel
                                  functions of complex order . . . . . . . 621--628


Numerical Algorithms
Volume 6, Number 1--2, January, 1994

           Per Christian Hansen   REGULARIZATION TOOLS: A Matlab package
                                  for analysis and solution of discrete
                                  ill-posed problems . . . . . . . . . . . 1--35
                 Zhi Jian Huang   The semilocal convergence of a
                                  generalization of Brent's and Brown's
                                  methods  . . . . . . . . . . . . . . . . 37--62
         Jean-Claude Yakoubsohn   Approximating the zeros of analytic
                                  functions by the exclusion algorithm . . 63--88
               Tony F. Chan and   
                 Julia A. Olkin   Circulant preconditioners for
                                  Toeplitz-block matrices  . . . . . . . . 89--101
            B. J. C. Baxter and   
             C. A. E. Micchelli   Norm estimates for the $l^2$-inverses of
                                  multivariate Toeplitz matrices . . . . . 103--117
                H. Allouche and   
                        A. Cuyt   Well-defined determinant representations
                                  for nonnormal multivariate rational
                                  interpolants . . . . . . . . . . . . . . 119--135
                H. Allouche and   
                        A. Cuyt   Singular rules for a multivariate
                                  quotient-difference algorithm  . . . . . 137--168
               J.-P. Dedieu and   
                   Ch. Favardin   Algorithms for ordering unorganized
                                  points along parametrized curves . . . . 169--200

Numerical Algorithms
Volume 6, Number 3--4, March, 1994

               Sylvan Elhay and   
               Jaroslav Kautsky   Jacobi matrices for measures modified by
                                  a rational factor  . . . . . . . . . . . 205--227
                     Avram Sidi   Convergence of intermediate rows of
                                  minimal polynomial and reduced rank
                                  extrapolation tables . . . . . . . . . . 229--244
                 J. C. Dodu and   
                     T. Eve and   
                      M. Minoux   Implementation of a proximal algorithm
                                  for linearly constrained nonsmooth
                                  optimization problems and computational
                                  results  . . . . . . . . . . . . . . . . 245--273
              Dganit Amitai and   
              Amir Averbuch and   
          Samuel Itzikowitz and   
                     Eli Turkel   Asynchronous and corrected-asynchronous
                                  finite difference solutions of PDEs on
                                  MIMD multiprocessors . . . . . . . . . . 275--296
                 Gerlind Plonka   Optimal shift parameters for periodic
                                  spline interpolation . . . . . . . . . . 297--316
          Anne-Mercedes Bellido   Construction of iteration functions for
                                  the simultaneous computation of the
                                  solutions of equations and algebraic
                                  systems  . . . . . . . . . . . . . . . . 317--351
              Michael K. Ng and   
                Raymond H. Chan   Fast iterative methods for least squares
                                  estimations  . . . . . . . . . . . . . . 353--378
        Jean-Charles Fiorot and   
             Pierre Jeannin and   
                    Salim Taleb   New control massic polygon of a
                                  ${B}$-rational curve resulting from a
                                  homographic change of parameter  . . . . 379--418


Numerical Algorithms
Volume 7, Number 1, June, 1994

           Randolph E. Bank and   
                   Tony F. Chan   A composite step bi-conjugate gradient
                                  algorithm for nonsymmetric linear
                                  systems  . . . . . . . . . . . . . . . . 1--16
               Tony F. Chan and   
                     Tedd Szeto   A composite step conjugate gradients
                                  squared algorithm for solving
                                  nonsymmetric linear systems  . . . . . . 17--32
               C. Brezinski and   
               M. Redivo Zaglia   Treatment of near-breakdown in the CGS
                                  algorithm  . . . . . . . . . . . . . . . 33--73
          G. L. G. Sleijpen and   
        H. A. van der Vorst and   
                  D. R. Fokkema   ${\rm {BiCGstab}}(l)$ and other hybrid
                                  Bi-CG methods  . . . . . . . . . . . . . 75--109

Numerical Algorithms
Volume 7, Number 2--4, July, 1994

               C. S. Kenney and   
                     A. J. Lamb   A hyperbolic tangent identity and the
                                  geometry of Padé sign function iterations 111--128
           Jean-Marie Chesneaux   The equality relations in scientific
                                  computing  . . . . . . . . . . . . . . . 129--143
                M. Mitrouli and   
              G. Kalogeropoulos   A compound matrix algorithm for the
                                  computation of the Smith form of a
                                  polynomial matrix  . . . . . . . . . . . 145--159
                     Guido Walz   Asymptotic expansions for classical and
                                  generalized divided differences
                                  including applications . . . . . . . . . 161--171
       Augustin A. Dubrulle and   
                  Gene H. Golub   A multishift QR iteration without
                                  computation of the shifts  . . . . . . . 173--181
               Martin Hanke and   
                  James G. Nagy   Toeplitz approximate inverse
                                  preconditioner for banded Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 183--199
              Charles B. Dunham   Uniform approximation by McCallig
                                  rationals  . . . . . . . . . . . . . . . 201--204
                  R. Wright and   
                    J. Cash and   
                       G. Moore   Mesh selection for stiff two-point
                                  boundary value problems  . . . . . . . . 205--224
                       A. Salam   Non-commutative extrapolation algorithms 225--251
                   Xingping Sun   Cardinal Hermite interpolation using
                                  positive definite functions  . . . . . . 253--268
               Philip T. Keenan   Mixed methods on quadrilaterals and
                                  hexahedra  . . . . . . . . . . . . . . . 269--293
                P. Ciarlet, Jr.   Repeated Red-Black ordering: a new
                                  approach . . . . . . . . . . . . . . . . 295--324
        Serge J. Olszanskyj and   
             James M. Lebak and   
            Adam W. Boja\'nczyk   Rank-$k$ modification methods for
                                  recursive least squares problems . . . . 325--354
                  Cristian Oara   Proper deflating subspaces: properties,
                                  algorithms and applications  . . . . . . 355--373
               Lina Hemmingsson   A fast modified sine transform for
                                  solving block-tridiagonal systems with
                                  Toeplitz blocks  . . . . . . . . . . . . 375--389
             Jean-Louis Merrien   Dyadic Hermite interpolants on a
                                  triangulation  . . . . . . . . . . . . . 391--410


Numerical Algorithms
Volume 8, Number 1, 1994

         Radka Turcajová   Factorizations and construction of
                                  linear phase paraunitary filter banks
                                  and higher multiplicity wavelets . . . . 1--25
     Radka Turcajová and   
               Jaroslav Kautsky   Shift products and factorizations of
                                  wavelet matrices . . . . . . . . . . . . 27--45
          Herbert H. H. Homeier   A hierarchically consistent, iterative
                                  sequence transformation  . . . . . . . . 47--81
              T. O. Espelid and   
                 K. J. Overholt   DQAINF: an algorithm for automatic
                                  integration of infinite oscillating
                                  tails  . . . . . . . . . . . . . . . . . 83--101
           G. Mühlbach and   
                       M. Gasca   Multivariate polynomial interpolation
                                  under projectivities. III. Remainder
                                  formulas . . . . . . . . . . . . . . . . 103--109
               Guang Fu Sun and   
                  Martin Stynes   Finite element methods on piecewise
                                  equidistant meshes for interior turning
                                  point problems . . . . . . . . . . . . . 111--129
                   Xingping Sun   The fundamentality of translates of a
                                  continuous function on spheres . . . . . 131--134
                   G. A. Watson   Linear best approximation using a class
                                  of $k$-major $l_p$ norms . . . . . . . . 135--146

Numerical Algorithms
Volume 8, Number 2--4, January, 1994

                Erlend Arge and   
                Michael Floater   Approximating scattered data with
                                  discontinuities  . . . . . . . . . . . . 149--166
               Bernard Bialecki   Cyclic reduction and FACR methods for
                                  piecewise Hermite bicubic orthogonal
                                  spline collocation . . . . . . . . . . . 167--184
         Boris G. Zaslavsky and   
              Alexander Moskvin   Numerical solution of positive control
                                  problem via linear programming . . . . . 185--199
           Terje O. Espelid and   
                      Alan Genz   DECUHR: an algorithm for automatic
                                  integration of singular functions over a
                                  hyperrectangular region  . . . . . . . . 201--220
                Yair Censor and   
                  Tommy Elfving   A multiprojection algorithm using
                                  Bregman projections in a product space   221--239
              Gene H. Golub and   
             Zden\vek Strako\vs   Estimates in quadratic formulas  . . . . 241--268
                 Kuiyuan Li and   
               Tien-Yien Li and   
                Zhong Gang Zeng   An algorithm for the generalized
                                  symmetric tridiagonal eigenvalue problem 269--291
       P. J. van der Houwen and   
            B. P. Sommeijer and   
             W. A. van der Veen   Parallelism across the steps in iterated
                                  Runge--Kutta methods for stiff initial
                                  value problems . . . . . . . . . . . . . 293--312
     Stanis\law Tokarzewski and   
       Jerzy B\lawzdziewicz and   
                 Igor Andrianov   Two-point Padé approximants for formal
                                  Stieltjes series . . . . . . . . . . . . 313--328
               Tony F. Chan and   
                        Jun Zou   Additive Schwarz domain decomposition
                                  methods for elliptic problems on
                                  unstructured meshes  . . . . . . . . . . 329--346
                    Daeshik Lee   Fast parallel solution of the Poisson
                                  equation on irregular domains  . . . . . 347--362


Numerical Algorithms
Volume 9, Number 1--2, May, 1995

                  Guo Liang Xue   On an open problem in spherical facility
                                  location . . . . . . . . . . . . . . . . 1--12
            Jack W. Rogers, Jr.   Potential transformation methods for
                                  large-scale constrained global
                                  optimization . . . . . . . . . . . . . . 13--24
         E. H. Kaufman, Jr. and   
              D. J. Leeming and   
                   G. D. Taylor   An ODE-based approach to nonlinearly
                                  constrained minimax problems . . . . . . 25--37
                J. C. Mason and   
                  G. H. Elliott   Constrained near-minimax approximation
                                  by weighted expansion and interpolation
                                  using Chebyshev polynomials of the
                                  second, third, and fourth kinds  . . . . 39--54
                   D. Healy and   
                   T. Olsen and   
                      J. Weaver   Reduced motion artifacts in medical
                                  imaging by adaptive spatio-temporal
                                  reconstruction . . . . . . . . . . . . . 55--84
            Ken W. Bosworth and   
                    Upmanu Lall   LOWLAD: a locally weighted ${L}_1$
                                  smoothing spline algorithm with cross
                                  validated choice of smoothing parameters 85--106
              David Gifford and   
                 Robert Huotari   Best ${L}_1$ approximation by convex
                                  functions  . . . . . . . . . . . . . . . 107--111
                David Levin and   
                  Edmond Nadler   Convexity preserving interpolation by
                                  algebraic curves and surfaces  . . . . . 113--139
                      Kang Zhao   Best interpolation in seminorm with
                                  convex constraints . . . . . . . . . . . 141--156
                   R. K. Wright   Spline fitting discontinuous functions
                                  given just a few Fourier coefficients    157--169
             H.-P. Helfrich and   
                       D. Zwick   Trust region algorithms for the
                                  nonlinear least distance problem . . . . 171--179

Numerical Algorithms
Volume 9, Number 3--4, 1995

                      Zi Cai Li   Splitting-integrating method for inverse
                                  transformation of $n$-dimensional
                                  digital images and patterns  . . . . . . 181--198
                Walter Gautschi   The work of Philip Rabinowitz on
                                  numerical integration  . . . . . . . . . 199--222
         Jean-Claude Yakoubsohn   A universal constant for the convergence
                                  of Newton's method and an application to
                                  the classical homotopy method  . . . . . 223--244
                Gabriele Steidl   On multivariate attenuation factors  . . 245--261
            Karin Willemans and   
                   Paul Dierckx   Nonnegative surface fitting with
                                  Powell--Sabin splines  . . . . . . . . . 263--276
                 C. K. Chui and   
                       T. X. He   Bivariate interpolatory rational splines 277--291
                 J. Prestin and   
                        E. Quak   Trigonometric interpolation and wavelet
                                  decompositions . . . . . . . . . . . . . 293--317
                  David Lee and   
          Henryk Wo\'zniakowski   Testing nonlinear operators  . . . . . . 319--342
                   R. G. Campos   A quadrature formula for the Hankel
                                  transform  . . . . . . . . . . . . . . . 343--354
               W. Krajewski and   
                 A. Lepschy and   
           M. Redivo Zaglia and   
                       U. Viaro   A program for solving the ${L}_2$
                                  reduced-order model problem with fixed
                                  denominator degree . . . . . . . . . . . 355--377
C. González-Concepción and   
   V. Cano Fernández and   
           C. Gil Fariña   The $\epsilon$-algorithm for the
                                  identification of a transfer-function
                                  model: some applications . . . . . . . . 379--395
               Tony F. Chan and   
                        Jun Zou   Erratum to: ``Additive Schwarz domain
                                  decomposition methods for elliptic
                                  problems on unstructured meshes''
                                  [Numer. Algorithms \bf 8 (1994), no.
                                  2--4, 329--346, MR 95i:65174]  . . . . . 397--397
                      Anonymous   Book reviews . . . . . . . . . . . . . . 399--406


Numerical Algorithms
Volume 10, Number 1--2, July, 1995

      Günter Baszenski and   
       Franz-Jürgen Delvos   Computational aspects of Boolean
                                  cubature . . . . . . . . . . . . . . . . 1--11
                  B. C. Carlson   Numerical computation of real or complex
                                  elliptic integrals . . . . . . . . . . . 13--26
                 Laura Gori and   
               Elisabetta Santi   On the evaluation of Hilbert transforms
                                  by means of a particular class of Turán
                                  quadrature rules . . . . . . . . . . . . 27--39
                   D. B. Hunter   The evaluation of Legendre functions of
                                  the second kind  . . . . . . . . . . . . 41--49
              Arieh Iserles and   
       Syvert P. Nòrsett   Explicit representations of biorthogonal
                                  polynomials  . . . . . . . . . . . . . . 51--67
                 Lisa Lorentzen   Computation of limit periodic continued
                                  fractions. A survey  . . . . . . . . . . 69--111
                 G. Mastroianni   Generalized Christoffel functions and
                                  error of positive quadrature . . . . . . 113--126
      Gradimir V. Milovanovi\'c   Summation of series and Gaussian
                                  quadratures. II  . . . . . . . . . . . . 127--136
             J. M. Montaner and   
                      M. Alfaro   On five-diagonal Toeplitz matrices and
                                  orthogonal polynomials on the unit
                                  circle . . . . . . . . . . . . . . . . . 137--153
          M. Morandi Cecchi and   
                     E. Pirozzi   A recursive algorithm by the moments
                                  method to evaluate a class of numerical
                                  integrals over an infinite interval  . . 155--165
            Sotirios E. Notaris   Stieltjes polynomials and Gauss--Kronrod
                                  quadrature formulae for measures induced
                                  by Chebyshev polynomials . . . . . . . . 167--186
                    Knut Petras   Gaussian integration of Chebyshev
                                  polynomials and analytic functions . . . 187--202

Numerical Algorithms
Volume 10, Number 3--4, October, 1995

    G\`erard L. G. Sleijpen and   
          Henk A. van der Vorst   Maintaining convergence properties of
                                  BiCGstab methods in finite precision
                                  arithmetic . . . . . . . . . . . . . . . 203--223
        Adam W. Boja\'nczyk and   
           Richard P. Brent and   
               Frank R. de Hoog   Stability analysis of a general Toeplitz
                                  systems solver . . . . . . . . . . . . . 225--244
                    Xiao Pu Yan   Multistep methods for differential
                                  algebraic equations  . . . . . . . . . . 245--260
    M. C. Bartholomew-Biggs and   
                     S. Zakovic   Using Markov's interval arithmetic to
                                  evaluate Bessel--Riccati functions . . . 261--287
           Adhemar Bultheel and   
                 Marc Van Barel   Formal orthogonal polynomials and
                                  Hankel/Toeplitz duality  . . . . . . . . 289--335
                  S. Paszkowski   Quasipower and hypergeometric
                                  series---construction and evaluation . . 337--361
                  S. H. Lui and   
                    G. H. Golub   Homotopy method for the numerical
                                  solution of the eigenvalue problem of
                                  self-adjoint partial differential
                                  operators  . . . . . . . . . . . . . . . 363--378
              Jaeyoung Choi and   
           Jack J. Dongarra and   
                David W. Walker   The design of a parallel dense linear
                                  algebra software library: reduction to
                                  Hessenberg, tridiagonal, and bidiagonal
                                  form . . . . . . . . . . . . . . . . . . 379--399
                    J. Levesley   Convolution kernels based on thin-plate
                                  splines  . . . . . . . . . . . . . . . . 401--419
                P. Ciarlini and   
                      F. Pavese   Erratum to ``Application of special
                                  reduction procedures to metrological
                                  data'' [Numer. Algorithms \bf 5 (1993),
                                  no. 1--4, 479--489]  . . . . . . . . . . 421--421


Numerical Algorithms
Volume 11, Number 1--4, March, 1996

            Bernhard Beckermann   The stable computation of formal
                                  orthogonal polynomials . . . . . . . . . 1--23
               C. Brezinski and   
                      P. Maroni   The algebra of linear functionals on
                                  polynomials, with applications to Padé
                                  approximation  . . . . . . . . . . . . . 25--33
               C. Brezinski and   
               M. Redivo-Zaglia   A look-ahead strategy for the
                                  implementation of some old and new
                                  extrapolation methods  . . . . . . . . . 35--55
                A. Bultheel and   
    P. González-Vera and   
              E. Hendriksen and   
               O. Njåstad   Orthogonal rational functions and
                                  modified approximants  . . . . . . . . . 57--69
                  J. C. Butcher   Orthogonal polynomials, Padé
                                  approximations and ${A}$-stability . . . 71--78
                D. Calvetti and   
                     L. Reichel   A hybrid iterative method for symmetric
                                  positive definite linear systems . . . . 79--98
       Jean-Marie Chesneaux and   
                   Ana C. Matos   Breakdown and near-breakdown control in
                                  the CGS algorithm using stochastic
                                  arithmetic . . . . . . . . . . . . . . . 99--116
      Cathleen M. Craviotto and   
           William B. Jones and   
                W. J. Thron and   
             Nancy J. Wyshinski   Computation of special functions by Padé
                                  approximants with orthogonal polynomial
                                  denominators . . . . . . . . . . . . . . 117--141
             André Draux   Formal orthogonal polynomials revisited.
                                  Applications . . . . . . . . . . . . . . 143--158
                     Nahid Emad   The Padé-Rayleigh--Ritz method for
                                  solving large Hermitian eigenproblems    159--179
              Bernd Fischer and   
               Martin Hanke and   
               Marlis Hochbruck   A note on conjugate-gradient type
                                  methods for indefinite and/or
                                  inconsistent linear systems  . . . . . . 181--187
            P. R. Graves-Morris   A new approach to acceleration of
                                  convergence of a sequence of vectors . . 189--201
                   Martin Hanke   Asymptotics of orthogonal polynomials
                                  and the numerical solution of ill-posed
                                  problems . . . . . . . . . . . . . . . . 203--214
                  Arieh Iserles   Biorthogonal polynomials: Recent
                                  developments . . . . . . . . . . . . . . 215--228
               Harry Kiesel and   
                       Jet Wimp   A note on Koornwinder's polynomials with
                                  weight function
                                  $(1-x)^\alpha(1+x)^\beta+{M}\delta(x+1)+{N}\delta(x-1)$  229--241
                      P. Maroni   On a regular form defined by a
                                  pseudo-function  . . . . . . . . . . . . 243--254
                   Ana C. Matos   Some convergence results for the
                                  generalized Padé-type approximants  . . . 255--269
              Giovanni Monegato   A stable Nyström interpolant for some
                                  Mellin convolution equations . . . . . . 271--283
          M. Morandi Cecchi and   
                    E. Di Nardo   The modified bordering method to
                                  evaluate eigenvalues and eigenvectors of
                                  normal matrices  . . . . . . . . . . . . 285--309
   Syvert P. Nòrsett and   
    Bente Òstigård   Dual-orthogonal polynomials  . . . . . . 311--326
                       A. Salam   An algebraic approach to the vector
                                  $\epsilon$-algorithm . . . . . . . . . . 327--337
      Jeannette Van Iseghem and   
         Peter R. Graves-Morris   Approximation of a function given by its
                                  Laurent series . . . . . . . . . . . . . 339--351


Numerical Algorithms
Volume 12, Number 1--2, April, 1996

               E. J. Grimme and   
             D. C. Sorensen and   
                  P. Van Dooren   Model reduction of state space systems
                                  via an implicitly restarted Lanczos
                                  method . . . . . . . . . . . . . . . . . 1--31
                K. Gallivan and   
                  E. Grimme and   
                  P. Van Dooren   A rational Lanczos algorithm for model
                                  reduction  . . . . . . . . . . . . . . . 33--63
                  M. Arioli and   
             H. Munthe-Kaas and   
                  L. Valdettaro   Componentwise error analysis for FFTs
                                  with applications to fast Helmholtz
                                  solvers  . . . . . . . . . . . . . . . . 65--88
                         K. Pan   On the method of finding frequencies
                                  with large amplitudes  . . . . . . . . . 89--96
                       Qiang Ye   An adaptive block Lanczos algorithm  . . 97--110
             Bernd Mulansky and   
              Jochen W. Schmidt   Constructive methods in convex ${C}^2$
                                  interpolation using quartic splines  . . 111--124
                D. Calvetti and   
                     L. Reichel   An adaptive Richardson iteration method
                                  for indefinite linear systems  . . . . . 125--149
                 Anke Gresbrand   Rational ${B}$-splines with prescribed
                                  poles  . . . . . . . . . . . . . . . . . 151--158
              Dganit Amitai and   
              Amir Averbuch and   
              Moshe Israeli and   
              Samuel Itzikowitz   On parallel asynchronous high-order
                                  solutions of parabolic PDEs  . . . . . . 159--192
            P. Ciarlet, Jr. and   
                      F. Lamour   On the validity of a front-oriented
                                  approach to partitioning large sparse
                                  graphs with a connectivity constraint    193--214
            Karin Willemans and   
                   Paul Dierckx   Smoothing scattered data with a monotone
                                  Powell--Sabin spline surface . . . . . . 215--232
            Charles H. Tong and   
                       Qiang Ye   A linear system solver based on a
                                  modified Krylov subspace method for
                                  breakdown recovery . . . . . . . . . . . 233--251

Numerical Algorithms
Volume 12, Number 3--4, July, 1996

               Allan J. MacLeod   Rational approximations, software and
                                  test methods for sine and cosine
                                  integrals  . . . . . . . . . . . . . . . 259--272
                      Yixun Shi   A globalization procedure for solving
                                  nonlinear systems of equations . . . . . 273--286
               Thomas Sauer and   
                        Yuan Xu   Regular points for Lagrange
                                  interpolation on the unit disk . . . . . 287--296
                  Wanzhen Huang   Heuristic solutions to polynomial moment
                                  problems with some convex entropic
                                  objectives . . . . . . . . . . . . . . . 297--308
       Andreas Karageorghis and   
               Marcin Paprzycki   An efficient direct method for fully
                                  conforming spectral collocation schemes  309--319
                    P. Witomski   Approximation of the capillarity problem
                                  by an augmented Lagrangian method  . . . 321--346
              Z. Jackiewicz and   
                    S. Tracogna   Variable stepsize continuous two-step
                                  Runge--Kutta methods for ordinary
                                  differential equations . . . . . . . . . 347--368
     Bo Kågström and   
                  Peter Poromaa   Computing eigenspaces with specified
                                  eigenvalues of a regular matrix pair $
                                  (A, B) $ and condition estimation:
                                  theory, algorithms and software  . . . . 369--407
               Bernard Beauzamy   Reconstructing a signal from the
                                  knowledge of the norms of its multiples  409--414


Numerical Algorithms
Volume 13, Number 1--2, 1996

         Takemitsu Hasegawa and   
                     Avram Sidi   An automatic integration procedure for
                                  infinite range integrals involving
                                  oscillatory kernels  . . . . . . . . . . 1--19
         Christine Thomas-Agnan   Computing a family of reproducing
                                  kernels for statistical applications . . 21--32
                  Daniel Hempel   Isotropic refinement and recoarsening in
                                  two dimensions . . . . . . . . . . . . . 33--43
             Brigida Molina and   
                  Marcos Raydan   Preconditioned Barzilai--Borwein method
                                  for the numerical solution of partial
                                  differential equations . . . . . . . . . 45--60
                  Alain Pietrus   A globally convergent method for solving
                                  nonlinear equations without the
                                  differentiability condition  . . . . . . 61--76
             Dietmar Hietel and   
            Andreas Meister and   
                   Thomas Sonar   On the comparison of four different
                                  implementations of a third-order ENO
                                  scheme of box type for the computation
                                  of compressible flow . . . . . . . . . . 77--105
                       M. Gugat   The Newton differential correction
                                  algorithm for rational Chebyshev
                                  approximation with constrained
                                  denominators . . . . . . . . . . . . . . 107--122
           Sowmini Varadhan and   
           Michael W. Berry and   
                  Gene H. Golub   Approximating dominant singular triplets
                                  of large sparse matrices via modified
                                  moments  . . . . . . . . . . . . . . . . 123--152

Numerical Algorithms
Volume 13, Number 3--4, 1996

                   Helmut Brass   On the quality of algorithms based on
                                  spline interpolation . . . . . . . . . . 159--177
              Dario Andrea Bini   Numerical computation of polynomial
                                  zeros by means of Aberth's method  . . . 179--200
            P. Ciarlet, Jr. and   
                      F. Lamour   Does contraction preserve triangular
                                  meshes?  . . . . . . . . . . . . . . . . 201--223
                      Zi-Cai Li   Analysis of discrete techniques for
                                  image transformation . . . . . . . . . . 225--263
               J.-C. Fiorot and   
                     P. Jeannin   A blossoming approach to accuracy of the
                                  degree elevation process . . . . . . . . 265--306
                 Thomas Hermann   On the stability of polynomial
                                  transformations between Taylor,
                                  Bernstein and Hermite forms  . . . . . . 307--320
                A. Bultheel and   
    P. González-Vera and   
              E. Hendriksen and   
               O. Njåstad   On the convergence of multipoint
                                  Padé-type approximants and quadrature
                                  formulas associated with the unit circle 321--344
             J. M. Carnicer and   
                  M. S. Floater   Piecewise linear interpolants to
                                  Lagrange and Hermite convex scattered
                                  data . . . . . . . . . . . . . . . . . . 345--364
               Tony F. Chan and   
                        Jun Zou   A convergence theory of multilevel
                                  additive Schwarz methods on unstructured
                                  meshes . . . . . . . . . . . . . . . . . 365--398
                   C. Brezinski   Book Reviews . . . . . . . . . . . . . . 399--404


Numerical Algorithms
Volume 14, Number 1--3, March, 1997

                 Luca Dieci and   
                  Don Estep and   
              Eric Van de Velde   Preface  . . . . . . . . . . . . . . . . 1--1
                  Uri M. Ascher   Stabilization of invariants of
                                  discretized differential systems . . . . 1--24
                 W.-J. Beyn and   
                J.-M. Kleinkauf   Numerical approximation of homoclinic
                                  chaos  . . . . . . . . . . . . . . . . . 25--53
            Brian A. Coomes and   
  Hüseyin Koçak and   
              Kenneth J. Palmer   Long periodic shadowing  . . . . . . . . 55--78
                 Luca Dieci and   
                    Jens Lorenz   Lyapunov-type numbers and torus
                                  breakdown: numerical aspects and a case
                                  study  . . . . . . . . . . . . . . . . . 79--102
               E. J. Doedel and   
             M. J. Friedman and   
                    B. I. Kunin   Successive continuation for locating
                                  connecting orbits  . . . . . . . . . . . 103--124
            Mark E. Johnson and   
           Michael S. Jolly and   
          Ioannis G. Kevrekidis   Two-dimensional invariant manifolds and
                                  global bifurcations: some approximation
                                  and visualization studies  . . . . . . . 125--140
           Peter E. Kloeden and   
     Björn Schmalfuß   Nonautonomous systems, cocycle
                                  attractors and variable time-step
                                  discretization . . . . . . . . . . . . . 141--152
                   Martin W. Lo   Libration point trajectory design  . . . 153--164
            Andrei A. Lyashenko   On the stability of the spectral
                                  Galerkin approximation . . . . . . . . . 165--178
              James C. Robinson   Convergent families of inertial
                                  manifolds for convergent approximations  179--188
                  Tony Shardlow   Inertial manifolds and linear multi-step
                                  methods  . . . . . . . . . . . . . . . . 189--209
                   M. W. Smiley   Numerical bifurcation and stability
                                  analysis for steady-states of reaction
                                  diffusion equations  . . . . . . . . . . 211--225
                   A. M. Stuart   Probabilistic and deterministic
                                  convergence proofs for software for
                                  initial value problems . . . . . . . . . 227--260
               Alexander Tovbis   Homoclinic connections and numerical
                                  integration  . . . . . . . . . . . . . . 261--267

Numerical Algorithms
Volume 14, Number 4, December, 1997

                      Zhilin Li   Immersed interface methods for moving
                                  interface problems . . . . . . . . . . . 269--293
                  Zhong-Zhi Bai   A class of two-stage iterative methods
                                  for systems of weakly nonlinear
                                  equations  . . . . . . . . . . . . . . . 295--319
         André Draux and   
                 Borhane Moalla   Rectangular matrix Padé approximants and
                                  square matrix orthogonal polynomials . . 321--341
           Abdelmalek Nigro and   
            Pierre-Jean Laurent   Progressive stable interpolation . . . . 343--359
    François Alouges and   
               Philippe Loreaux   Massively parallel preconditioners for
                                  symmetric positive definite linear
                                  systems  . . . . . . . . . . . . . . . . 361--375
                   Leif Kobbelt   Stable evaluation of box-splines . . . . 377--382
               Wayne Lawton and   
           Charles A. Micchelli   Construction of conjugate quadrature
                                  filters with specified zeros . . . . . . 383--399
                      Anonymous   Book reviews . . . . . . . . . . . . . . 401--403


Numerical Algorithms
Volume 15, Number 1, December, 1997

                    Ulrich Reif   Uniform B-spline approximation in
                                  Sobolev spaces . . . . . . . . . . . . . 1--14
                Robert Erra and   
               Bernard Philippe   On some structured inverse eigenvalue
                                  problems . . . . . . . . . . . . . . . . 15--35
          Ricardo D. Fierro and   
           Per Christian Hansen   Low-rank revealing UTV decompositions    37--55
          Dario Andrea Bini and   
                 Beatrice Meini   Improved cyclic reduction for solving
                                  queueing problems  . . . . . . . . . . . 57--74
                        M. Kzaz   Gaussian quadrature and acceleration of
                                  convergence  . . . . . . . . . . . . . . 75--89
                 Luca Gemignani   Chebyshev rational interpolation . . . . 91--110
                      C. Arnold   Formal continued fractions solutions of
                                  the generalized second order Riccati
                                  equations, applications  . . . . . . . . 111--134
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 135--137

Numerical Algorithms
Volume 15, Number 2, December, 1997

                 I. J. Anderson   A piecewise approach to piecewise
                                  approximation  . . . . . . . . . . . . . 139--152
                   Hans Strauss   On interpolation with products of
                                  positive definite functions  . . . . . . 153--165
      Celina Pestano-Gabino and   
Concepción González-Concepción   Matrix Padé approximation of rational
                                  functions  . . . . . . . . . . . . . . . 167--192
              Vasile Dragan and   
           Aristide Halanay and   
                  Adrian Stoica   Well-conditioned computation for
                                  $H^\infty$ controller near the optimum   193--206
                    N. M. Temme   Numerical algorithms for uniform
                                  Airy-type asymptotic expansions  . . . . 207--225
             Nicholas J. Higham   Stable iterations for the matrix square
                                  root . . . . . . . . . . . . . . . . . . 227--242
                   C. Brezinski   Book reviews . . . . . . . . . . . . . . 243--246

Numerical Algorithms
Volume 15, Number 3--4, January, 1997

            P. R. Graves-Morris   A ``look-around Lanczos'' algorithm for
                                  solving a system of linear equations . . 247--274
                   A. Benazzouz   Quasilinear sequence transformations . . 275--285
                A. Averbuch and   
                 L. Vozovoi and   
                     M. Israeli   On a fast direct elliptic solver by a
                                  modified Fourier method  . . . . . . . . 287--313
                    J. Bahi and   
              J. C. Miellou and   
                      K. Rhofir   Asynchronous multisplitting methods for
                                  nonlinear fixed point problems . . . . . 315--345
                  Zhong-Zhi Bai   Parallel multisplitting two-stage
                                  iterative methods for large sparse
                                  systems of weakly nonlinear equations    347--372
        Pierre-Jean Laurent and   
      Marie-Laurence Mazure and   
       Voichi\cta Teodora Maxim   Chebyshev splines and shape parameters   373--383
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 16, Number 1, December, 1997

    Guillaume Alléon and   
              Michele Benzi and   
                     Luc Giraud   Sparse approximate inverse
                                  preconditioning for dense linear systems
                                  arising in computational
                                  electromagnetics . . . . . . . . . . . . 1--15
              B. Dumitrescu and   
                M. Doreille and   
                 J.-L. Roch and   
                    D. Trystram   Two-dimensional block partitionings for
                                  the parallel sparse Cholesky
                                  factorization  . . . . . . . . . . . . . 17--38
             J. P. Gregoire and   
                    C. Rose and   
                      B. Thomas   Direct and iterative solvers for
                                  finite-element problems  . . . . . . . . 39--53
          Vincent Heuveline and   
           Bernard Philippe and   
                 Miloud Sadkane   Parallel computation of spectral
                                  portrait of large matrices by Davidson
                                  type methods . . . . . . . . . . . . . . 55--75
          Gérard Meurant   The computation of bounds for the norm
                                  of the error in the conjugate gradient
                                  algorithm  . . . . . . . . . . . . . . . 77--87

Numerical Algorithms
Volume 16, Number 2, December, 1997

                M. Mitrouli and   
                 C. Koukouvinos   On the computation of the Smith normal
                                  form of compound matrices  . . . . . . . 95--105
              W. H. Enright and   
                         Min Hu   Improving performance when solving
                                  high-order and mixed-order boundary
                                  value problems in ODEs . . . . . . . . . 107--116
              Relja Vulanovi\'c   Fourth order algorithms for a semilinear
                                  singular perturbation problem  . . . . . 117--128
                  Qiming He and   
                Lishan Kang and   
                    D. J. Evans   Convergence and stability of the finite
                                  difference scheme for nonlinear
                                  parabolic systems with time delay  . . . 129--153
                Tim Gutzmer and   
                     Armin Iske   Detection of discontinuities in
                                  scattered data approximation . . . . . . 155--170
                     Yves Lucet   Faster than the fast Legendre transform,
                                  the linear-time Legendre transform . . . 171--185
                  Luc Rebillard   Rational approximation in the complex
                                  plane using a $\tau$-method and computer
                                  algebra  . . . . . . . . . . . . . . . . 187--208
              J. C. Butcher and   
                P. Chartier and   
                  Z. Jackiewicz   Nordsieck representation of DIMSIMs  . . 209--230

Numerical Algorithms
Volume 16, Number 3--4, December, 1997

               Kai Diethelm and   
                     Guido Walz   Numerical solution of fractional order
                                  differential equations by extrapolation  231--253
            Rosemary Renaut and   
                          Yi Su   Evaluation of Chebyshev pseudospectral
                                  methods for third order differential
                                  equations  . . . . . . . . . . . . . . . 255--281
                 Milvia Rossini   Irregularity detection from noisy data
                                  in one and two dimensions  . . . . . . . 283--301
                    Sven Ehrich   Sard-optimal prefilters for the fast
                                  wavelet transform  . . . . . . . . . . . 303--319
               P. Verlinden and   
                D. M. Potts and   
                   J. N. Lyness   Error expansions for multidimensional
                                  trapezoidal rules with Sidi
                                  transformations  . . . . . . . . . . . . 321--347
              W. H. Enright and   
                     H. Hayashi   A delay differential equation solver
                                  based on a continuous Runge--Kutta
                                  method with defect control . . . . . . . 349--364
                     Xiu Ye and   
                Charles A. Hall   A discrete divergence-free basis for
                                  finite element methods . . . . . . . . . 365--380
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 381--382


Numerical Algorithms
Volume 17, Number 1--2, March, 1998

                Jean Piquet and   
                 Xavier Vasseur   Multigrid preconditioned Krylov subspace
                                  methods for three-dimensional numerical
                                  solutions of the incompressible
                                  Navier--Stokes equations . . . . . . . . 1--32
                  D. E. Roberts   A vector Chebyshev algorithm . . . . . . 33--50
               Tony F. Chan and   
          Lisette de Pillis and   
             Henk van der Vorst   Transpose-free formulations of
                                  Lanczos-type methods for nonsymmetric
                                  linear systems . . . . . . . . . . . . . 51--66
               C. Brezinski and   
               M. Redivo-Zaglia   Transpose-free Lanczos-type algorithms
                                  for nonsymmetric linear systems  . . . . 67--103
              Faezeh Toutounian   The stable $A^{\ssf T}A$-orthogonal
                                  $s$-step ${\rm Orthomin}(k)$ algorithm
                                  with the CADNA library . . . . . . . . . 105--119
              J. C. Butcher and   
              M. T. Diamantakis   DESIRE: diagonally extended singly
                                  implicit Runge--Kutta effective order
                                  methods  . . . . . . . . . . . . . . . . 121--145
                Frauke Sprengel   Periodic interpolation and wavelets on
                                  sparse grids . . . . . . . . . . . . . . 147--169
                  Vu Hoang Linh   On some questions arising in numerical
                                  realization of amplitude-phase methods   171--191

Numerical Algorithms
Volume 17, Number 3--4, September, 1998

                  J. C. Butcher   ARK methods up to order five . . . . . . 193--221
          Herbert H. H. Homeier   On the stability of the ${\scr J}$
                                  transformation . . . . . . . . . . . . . 223--239
              J. W. Schmidt and   
             M. Bastian-Walther   Algorithm for constructing range
                                  restricted histosplines  . . . . . . . . 241--260
        Vishwani D. Agrawal and   
                  David Lee and   
          Henryk Wo\'zniakowski   Numerical computation of characteristic
                                  polynomials of Boolean functions and its
                                  applications . . . . . . . . . . . . . . 261--278
              Christian Rey and   
                  Franck Risler   A Rayleigh--Ritz preconditioner for the
                                  iterative solution to large scale
                                  nonlinear problems . . . . . . . . . . . 279--311
      Miodrag S. Petkovi\'c and   
       \Dbaror\dbare Herceg and   
               Sne\vzana Ili\'c   Safe convergence of simultaneous methods
                                  for polynomial zeros . . . . . . . . . . 313--331
                N. Mansouri and   
          J. P. Kernévez   Estimation of parameters in nonlinear
                                  problems . . . . . . . . . . . . . . . . 333--343
            G. Papageorgiou and   
             I. Th. Famelis and   
                  Ch. Tsitouras   A $P$-stable singly diagonally implicit
                                  Runge--Kutta--Nyström method  . . . . . . 345--353
               Alexander Tovbis   Erratum: ``Homoclinic connections and
                                  numerical integration'' [Numer.
                                  Algorithms \bf 14 (1997), no. 1,
                                  261--267; MR 98c:58153]  . . . . . . . . 355--355
                      Anonymous   Book reviews . . . . . . . . . . . . . . 357--358


Numerical Algorithms
Volume 18, Number 1, September, 1998

          Herbert H. H. Homeier   An asymptotically hierarchy-consistent,
                                  iterative sequence transformation for
                                  convergence acceleration of Fourier
                                  series . . . . . . . . . . . . . . . . . 1--30
          Gorik De Samblanx and   
               Adhemar Bultheel   Nested Lanczos: Implicitly restarting an
                                  unsymmetric Lanczos algorithm  . . . . . 31--50
            Z. Bartoszewski and   
                  Z. Jackiewicz   Construction of two-step Runge--Kutta
                                  methods of high order for ordinary
                                  differential equations . . . . . . . . . 51--70
             M. O. Bristeau and   
                       J. Erhel   Augmented conjugate gradient.
                                  Application in an iterative process for
                                  the solution of scattering problems  . . 71--90
              Birkett Huber and   
                 Jan Verschelde   Polyhedral end games for polynomial
                                  continuation . . . . . . . . . . . . . . 91--108
                      Anonymous   Book reviews . . . . . . . . . . . . . . 109--112

Numerical Algorithms
Volume 18, Number 2, September, 1998

                 Avram Sidi and   
                   Yair Shapira   Upper bounds for convergence rates of
                                  acceleration methods with initial
                                  iterations . . . . . . . . . . . . . . . 113--132
              Prabir Daripa and   
                   Daoud Mashat   Singular integral transforms and fast
                                  numerical algorithms . . . . . . . . . . 133--157
              Prabir Daripa and   
                   Daoud Mashat   An efficient and novel numerical method
                                  for quasiconformal mappings of doubly
                                  connected domains  . . . . . . . . . . . 159--175
Ubaldo M. García-Palomares and   
Francisco J. González-Castaño   Incomplete projection algorithms for
                                  solving the convex feasibility problem   177--193
                Ilan Bar-On and   
               Marcin Paprzycki   High performance solution of the complex
                                  symmetric eigenproblem . . . . . . . . . 195--208

Numerical Algorithms
Volume 18, Number 3--4, September, 1998

            Thomas Gerstner and   
                Michael Griebel   Numerical integration using sparse grids 209--232
       P. J. van der Houwen and   
                     E. Messina   Splitting methods for second-order
                                  initial value problems . . . . . . . . . 233--257
                  Javier Segura   A global Newton method for the zeros of
                                  cylinder functions . . . . . . . . . . . 259--276
                 Azeddine Essai   Weighted FOM and GMRES for solving
                                  nonsymmetric linear systems  . . . . . . 277--292
               K. A. Ariyawansa   Local convergence of collinear scaling
                                  algorithms related to direct
                                  least-change secant update methods for
                                  minimization . . . . . . . . . . . . . . 293--320
           Magne S. Espedal and   
              Xue-Cheng Tai and   
                   Ningning Yan   A hybrid nonoverlapping domain
                                  decomposition scheme for advection
                                  dominated advection-diffusion problems   321--336
              Martin Stynes and   
                   Lutz Tobiska   A finite difference analysis of a
                                  streamline diffusion method on a
                                  Shishkin mesh  . . . . . . . . . . . . . 337--360
                Ilan Bar-On and   
                 Mauro Leoncini   Stable solution of tridiagonal systems   361--388
                      Anonymous   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 19, Number 1--4, September, 1998

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 0--0
          Christian Alscher and   
          Wolf-Jürgen Beyn   Simulating the motion of the leech: a
                                  biomechanical application of DAEs  . . . 1--12
           Pierluigi Amodio and   
               Francesca Mazzia   An algorithm for the computation of
                                  consistent initial values for
                                  differential-algebraic equations . . . . 13--23
              Martin Arnold and   
                    Ander Murua   Non-stiff integrators for
                                  differential-algebraic systems of index
                                  $2$  . . . . . . . . . . . . . . . . . . 25--41
                R. E. Beardmore   Stability and bifurcation properties of
                                  index-$1$ DAEs . . . . . . . . . . . . . 43--53
            Stephen D. Bond and   
         Benedict J. Leimkuhler   Time-transformations for reversible
                                  variable stepsize integration  . . . . . 55--71
             S. L. Campbell and   
              R. Hollenbeck and   
                 K. Yeomans and   
                       Y. Zhong   Mixed symbolic-numerical computations
                                  with general DAEs. I. System properties  73--83
        Stephen L. Campbell and   
             Wies\law Marszalek   Mixed symbolic-numerical computations
                                  with general DAEs. II. An applications
                                  case study . . . . . . . . . . . . . . . 85--94
                 Astrid Holstad   Modelling subsurface coupled chemical
                                  reactions and fluid flow over long time
                                  periods  . . . . . . . . . . . . . . . . 95--110
            C. P. Jeannerod and   
                    J. Visconti   Global error estimation for index-$1$
                                  and -$2$ DAEs  . . . . . . . . . . . . . 111--125
                      G. Le Vey   Some remarks on solvability and various
                                  indices for implicit differential
                                  equations  . . . . . . . . . . . . . . . 127--145
              Y. O. Macutan and   
                      G. Thomas   Theory of formal integrability and DAEs:
                                  Effective computations . . . . . . . . . 147--157
          R. M. M. Mattheij and   
          P. M. E. J. Wijckmans   Sensitivity of solutions of linear DAE
                                  to perturbations of the system matrices  159--171
               Christian Penski   A numerical scheme for highly
                                  oscillatory DAEs and its application to
                                  circuit simulation . . . . . . . . . . . 173--181
                   D. Pogorelov   Differential-algebraic equations in
                                  multibody system modeling  . . . . . . . 183--194
                    J. D. Pryce   Solving high-index DAEs by Taylor series 195--211
                Sebastian Reich   Modified potential energy functions for
                                  constrained molecular dynamics . . . . . 213--221
               Werner M. Seiler   Position versus momentum projections for
                                  constrained Hamiltonian systems  . . . . 223--234
                      B. Simeon   DAEs and PDEs in elastic multibody
                                  systems  . . . . . . . . . . . . . . . . 235--246
                  Jukka Tuomela   On the resolution of singularities of
                                  ordinary differential systems  . . . . . 247--259
                      Anonymous   DAE '97 participants . . . . . . . . . . 261--264


Numerical Algorithms
Volume 20, Number 1, March, 1999

                   Robert Plato   The conjugate gradient method for linear
                                  ill-posed problems with operator
                                  perturbations  . . . . . . . . . . . . . 1--22
          M. Prévost and   
                    D. Vekemans   Partial Padé prediction . . . . . . . . . 23--50
                 Safya Belghith   Symbolic and numerical analysis for
                                  studying complex nonlinear behavior  . . 51--61
                  P. Favati and   
                   G. Lotti and   
                  O. Menchi and   
                      F. Romani   An infinite precision bracketing
                                  algorithm with guaranteed convergence    63--73
               Peter Benner and   
Enrique S. Quintana-Ortí   Solving stable generalized Lyapunov
                                  equations with the matrix sign function  75--100
                      Anonymous   Book reviews . . . . . . . . . . . . . . 101--105

Numerical Algorithms
Volume 20, Number 2--3, June, 1999

               M. Redivo-Zaglia   Preface  . . . . . . . . . . . . . . . . 0--0
               M. Redivo-Zaglia   The software library numeralgo . . . . . 107--116
             Jochen Alberty and   
         Carsten Carstensen and   
               Stefan A. Funken   Remarks around 50 lines of Matlab: short
                                  finite element implementation  . . . . . 117--137
          Zélia da Rocha   Shohat--Favard and Chebyshev's methods
                                  in $d$-orthogonality . . . . . . . . . . 139--164
          Ricardo D. Fierro and   
       Per Christian Hansen and   
 Peter Sòren Kirk Hansen   UTV Tools: Matlab templates for
                                  rank-revealing UTV decompositions  . . . 165--194
           Per Christian Hansen   Regularization Tools Version 3.0 for
                                  Matlab 5.2 . . . . . . . . . . . . . . . 195--196
          M. Morandi Cecchi and   
               S. De Marchi and   
                      D. Fasoli   A package for representing C1
                                  interpolating surfaces: Application to
                                  the lagoon of Venice's bed . . . . . . . 197--215
             Miloud Sadkane and   
                 Roger B. Sidje   Implementation of a variable block
                                  Davidson method with deflation for
                                  solving large sparse eigenproblems . . . 217--240
                 F. Stenger and   
      S.-Å. Gustafson and   
                   B. Keyes and   
                M. O'Reilly and   
                      K. Parker   ODE-IVP-PACK via Sinc indefinite
                                  integration and Newton's method  . . . . 241--268

Numerical Algorithms
Volume 20, Number 4, December, 1999

              J. C. Butcher and   
                    P. Chartier   The effective order of singly-implicit
                                  Runge--Kutta methods . . . . . . . . . . 269--284
              Nicholas J. Daras   Rational approximation to harmonic
                                  functions  . . . . . . . . . . . . . . . 285--301
                       H. Sadok   CMRH: a new method for solving
                                  nonsymmetric linear systems based on the
                                  Hessenberg reduction algorithm . . . . . 303--321
          Dario Andrea Bini and   
            Giuseppe Fiorentino   On the parallel evaluation of a sparse
                                  polynomial at a point  . . . . . . . . . 323--329
              Kyle Gallivan and   
                Paul Van Dooren   Rational approximations of pre-filtered
                                  transfer functions via the Lanczos
                                  algorithm  . . . . . . . . . . . . . . . 331--342
               E. Spedicato and   
                         M. Zhu   A generalization of the implicit LU
                                  algorithm to an arbitrary initial matrix 343--351
           Alain Piétrus   Solving triangular algebraic systems by
                                  means of simultaneous iterations . . . . 353--368
              Stefan Paszkowski   The Bloch--Grüneisen integrals. Some
                                  analytic expressions . . . . . . . . . . 369--378
                      Anonymous   Book reviews . . . . . . . . . . . . . . 379--382


Numerical Algorithms
Volume 21, Number 1--4, December, 1999

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 0--0
                 S. Amraoui and   
               S. Lalaoui Rhali   Retarded functional differential
                                  equations with nondense domain operators 1--8
                   A. Anane and   
                O. Chakrone and   
                   Z. El Allali   First order spectrum for elliptic system
                                  and nonresonance problem . . . . . . . . 9--21
                   Owe Axelsson   Stabilization of algebraic multilevel
                                  iteration methods: additive methods  . . 23--47
                J. Baranger and   
                D. Esslaoui and   
                    A. Machmoum   Error estimate for convection problem
                                  with characteristics method  . . . . . . 49--56
           Saâd Benbachir   Symbolic research of the periodic
                                  solutions of the nonintegrable
                                  Hamiltonian system of Ollongren  . . . . 57--77
                  A. H. Bentbib   Conjugate directions method for solving
                                  interval linear systems  . . . . . . . . 79--86
                 Zsolt Biro and   
                   Maria Vicsek   Numerical interface curves for some
                                  nonlinear diffusion equations  . . . . . 87--96
                   C. Brezinski   Krylov subspace methods, biorthogonal
                                  polynomials and Padé-type approximants    97--107
                D. Calvetti and   
                     L. Reichel   A block-Lanczos method for large
                                  continuation problems  . . . . . . . . . 109--118
              Jen-Yuan Chen and   
           David R. Kincaid and   
                 David M. Young   Generalizations and modifications of the
                                  GMRES iterative method . . . . . . . . . 119--146
               Kathy Driver and   
                    Peter Duren   Asymptotic zero distribution of
                                  hypergeometric polynomials . . . . . . . 147--156
Ubaldo M. García-Palomares   Preconditioning projection methods for
                                  solving algebraic linear systems . . . . 157--164
        C. Gáspár   Multigrid technique for biharmonic
                                  interpolation with application to dual
                                  and multiple reciprocity method  . . . . 165--183
Concepción González-Concepción and   
          Celina Pestano-Gabino   Approximated solutions in rational form
                                  for systems of differential equations    185--203
        P. R. Graves-Morris and   
                       A. Salam   Avoiding breakdown in Van der Vorst's
                                  method . . . . . . . . . . . . . . . . . 205--223
                     M. Heyouni   Newton Generalized Hessenberg method for
                                  solving nonlinear systems of equations   225--246
               M. Jourhmane and   
                    A. Nachaoui   An alternating method for an inverse
                                  Cauchy problem . . . . . . . . . . . . . 247--260
               C. Le Calvez and   
                      B. Molina   Implicitly restarted and deflated GMRES  261--285
              Jilali Mikram and   
                   Fouad Zinoun   Computation of normal forms of
                                  Hamiltonian systems in the presence of
                                  Poisson commuting integrals  . . . . . . 287--310
          M. Morandi Cecchi and   
                    F. Marcuzzi   An approximate waves-bordering algorithm
                                  for adaptive finite elements analysis    311--322
            Abdeljalil Nachaoui   Iterative solution of the
                                  drift--diffusion equations . . . . . . . 323--341
              Abderrahim Ouazzi   A mixed formulation of the Stokes
                                  equation in terms of $(w,p,u)$ . . . . . 343--352
       Rosa Maria Spitaleri and   
             Riccardo March and   
                  Daniele Arena   Finite difference solution of Euler
                                  equations arising in variational image
                                  segmentation . . . . . . . . . . . . . . 353--365
             Mohamed Wakrim and   
              Fattehallah Ghadi   On some three-field mixed systems  . . . 367--375
                       Jet Wimp   Connection coefficients, orthogonal
                                  polynomials and the WZ-algorithms  . . . 377--386
               Harry Yserentant   Coarse grid spaces for domains with a
                                  complicated boundary . . . . . . . . . . 387--392
                      Anonymous   List of participants . . . . . . . . . . 393--396


Numerical Algorithms
Volume 22, Number 1, December, 1999

              Bernd Fischer and   
                Jan Modersitzki   Fast inversion of matrices arising in
                                  image processing . . . . . . . . . . . . 1--11
              Victor Y. Pan and   
                  Elliot Linzer   Bisection acceleration for the symmetric
                                  tridiagonal eigenvalue problem . . . . . 13--39
                  E. Mainar and   
              J. M. Peña   Error analysis of corner cutting
                                  algorithms . . . . . . . . . . . . . . . 41--52
                Damiana Lazzaro   Biorthogonal $M$-band filter
                                  construction using the lifting scheme    53--72
                 C. Clavero and   
               J. L. Gracia and   
                     F. Lisbona   High order methods on Shishkin meshes
                                  for singular perturbation problems of
                                  convection--diffusion type . . . . . . . 73--97
              Mehiddin Al-Baali   Improved Hessian approximations for the
                                  limited memory BFGS method . . . . . . . 99--112

Numerical Algorithms
Volume 22, Number 2, December, 1999

              C. G. Broyden and   
                      P. Foschi   Duality in conjugate gradient methods    113--128
                V. Sirotkin and   
                   P. Tarvainen   Parallel two-level Schwarz methods for
                                  singularly perturbed elliptic problems   129--156
              Alan M. Cohen and   
                    David Levin   Accelerating infinite products . . . . . 157--165
                 Chang-New Chen   Generalization of differential
                                  quadrature discretization  . . . . . . . 167--182
               Pierre Verlinden   Stable rational modification of a weight 183--192
                       L. Smoch   Some results about GMRES in the singular
                                  case . . . . . . . . . . . . . . . . . . 193--212
               Guoting Chen and   
                Jean Della Dora   Normal forms for differentiable maps
                                  near a fixed point . . . . . . . . . . . 213--230
                      Anonymous   Book reviews . . . . . . . . . . . . . . 231--235

Numerical Algorithms
Volume 22, Number 3--4, December, 1999

              J. C. Butcher and   
                P. Chartier and   
                  Z. Jackiewicz   Experiments with a variable-order type
                                  $1$ DIMSIM code  . . . . . . . . . . . . 237--261
           Carsten R. Maple and   
                 Marco Marletta   Solving Hamiltonian systems arising from
                                  ODE eigenproblems  . . . . . . . . . . . 263--284
          Marie-Laurence Mazure   Bernstein bases in Müntz spaces . . . . . 285--304
         Manuel A. Gómez   An $O(n^2)$ active set algorithm for the
                                  solution of a parametric quadratic
                                  program  . . . . . . . . . . . . . . . . 305--316
               G. Mühlbach   A recurrence relation for generalized
                                  divided differences with respect to
                                  ECT-systems  . . . . . . . . . . . . . . 317--326
           Ricardo Celorrio and   
         Francisco-Javier Sayas   Full collocation methods for some
                                  boundary integral equations  . . . . . . 327--351
          Gérard Meurant   Numerical experiments in computing
                                  bounds for the norm of the error in the
                                  preconditioned conjugate gradient
                                  algorithm  . . . . . . . . . . . . . . . 353--365
                C.-S. Chien and   
                 H.-S. Chou and   
                     B.-W. Jeng   A continuation--domain decomposition
                                  algorithm for bifurcation problems . . . 367--383
                      Anonymous   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 23, Number 1, March, 2000

              Franck Risler and   
                  Christian Rey   Iterative accelerating algorithms with
                                  Krylov subspaces for the solution to
                                  large-scale nonlinear problems . . . . . 1--30
      Stanis\law Lewanowicz and   
              Eduardo Godoy and   
           Iván Area and   
      André Ronveaux and   
                Alejandro Zarzo   Recurrence relations for the
                                  coefficients of the Fourier series
                                  expansions with respect to $q$-classical
                                  orthogonal polynomials . . . . . . . . . 31--50
Mardochée Magolu monga Made and   
                     Ben Polman   Experimental comparison of
                                  three-dimensional point and line
                                  modified incomplete factorizations . . . 51--70
            Leonardo Borges and   
                  Prabir Daripa   A parallel version of a fast algorithm
                                  for singular integral transforms . . . . 71--96
                   M. Calvo and   
   S. González-Pinto and   
                J. I. Montijano   On the iterative solution of the
                                  algebraic equations in fully implicit
                                  Runge--Kutta methods . . . . . . . . . . 97--113
             M. G. de Bruin and   
              H. P. Dikshit and   
                      A. Sharma   Birkhoff interpolation on unity and on
                                  Möbius transform of the roots of unity    115--125

Numerical Algorithms
Volume 23, Number 2--3, June, 2000

          Dario Andrea Bini and   
            Giuseppe Fiorentino   Design, analysis, and implementation of
                                  a multiprecision polynomial rootfinder   127--173
        Francesc Ar\`andiga and   
                     Rosa Donat   Nonlinear multiscale decompositions: the
                                  approach of A. Harten  . . . . . . . . . 175--216
            M. I. Karavelas and   
                   P. D. Kaklis   Spatial shape-preserving interpolation
                                  using $\nu$-splines  . . . . . . . . . . 217--250
              Marek A. Kowalski   Sensitivity of best recovery in the
                                  Sobolev spaces $W^{r,d}_\infty$,
                                  $\widetilde{W}^{r,d}_\infty$ for
                                  perturbed sampling . . . . . . . . . . . 251--261
          Dominique Apprato and   
                 Christian Gout   A result about scale transformation
                                  families in approximation: application
                                  to surface fitting from rapidly varying
                                  data . . . . . . . . . . . . . . . . . . 263--279
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 281--284

Numerical Algorithms
Volume 23, Number 4, December, 2000

            Charles K. Chui and   
               Ming-Jun Lai and   
                   Jian-ao Lian   Algorithms for $G^1$ connection of
                                  multiple parametric bicubic NURBS
                                  surfaces . . . . . . . . . . . . . . . . 285--313
           Jean-Paul Berrut and   
             Hans D. Mittelmann   Rational interpolation through the
                                  optimal attachment of poles to the
                                  interpolating polynomial . . . . . . . . 315--328
               S. Bacchelli and   
                M. Cotronei and   
                     D. Lazzaro   An algebraic construction of
                                  $k$-balanced multiwavelets via the
                                  lifting scheme . . . . . . . . . . . . . 329--356
        Immaculada Higueras and   
              Teo Roldán   Starting algorithms for some DIRK
                                  methods  . . . . . . . . . . . . . . . . 357--369
        Philippe Lemmerling and   
         Nicola Mastronardi and   
              Sabine Van Huffel   Fast algorithm for solving the
                                  Hankel/Toeplitz Structured Total Least
                                  Squares problem  . . . . . . . . . . . . 371--392
                    Lei Han and   
              G. W. Wasilkowski   A new optimal algorithm for weighted
                                  approximation and integration over ${\bf
                                  R}$  . . . . . . . . . . . . . . . . . . 393--406
                      Anonymous   Book reviews . . . . . . . . . . . . . . 407--408


Numerical Algorithms
Volume 24, Number 1--2, December, 2000

         Brahim Benouahmane and   
                     Annie Cuyt   Multivariate orthogonal polynomials,
                                  homogeneous Padé approximants and
                                  Gaussian cubature  . . . . . . . . . . . 1--15
               Jean-Paul Berrut   A matrix for determining lower
                                  complexity barycentric representations
                                  of rational interpolants . . . . . . . . 17--29
             André Draux   Improvement of the formal and numerical
                                  estimation of the constant in some
                                  Markov--Bernstein inequalities . . . . . 31--58
               Bahman Kalantari   New formulas for approximation of $\pi$
                                  and other transcendental numbers . . . . 59--81
        Ekatharine A. Karatsuba   On the computation of the Euler constant
                                  $\gamma$ . . . . . . . . . . . . . . . . 83--97
             Peter Kravanja and   
                 Marc Van Barel   Coupled Vandermonde matrices and the
                                  superfast computation of Toeplitz
                                  determinants . . . . . . . . . . . . . . 99--116
         Alphonse P. Magnus and   
                  Jean Meinguet   The elliptic functions and integrals of
                                  the ``$1/9$'' problem  . . . . . . . . . 117--139
                Jieqing Tan and   
                        Yi Fang   Newton--Thiele's rational interpolants   141--157
          J. A. C. Weideman and   
                   D. P. Laurie   Quadrature rules based on partial
                                  fraction expansions  . . . . . . . . . . 159--178
                       Jet Wimp   Hankel determinants of some polynomials
                                  arising in combinatorial analysis  . . . 179--193

Numerical Algorithms
Volume 24, Number 3, September, 2000

     Bo Kågström and   
                  Petter Wiberg   Extracting partial canonical structure
                                  for large scale eigenvalue problems  . . 195--237
            Robert Schaback and   
                Holger Wendland   Adaptive greedy techniques for
                                  approximate solution of large RBF
                                  systems  . . . . . . . . . . . . . . . . 239--254
                  P. Favati and   
                   G. Lotti and   
                  O. Menchi and   
                      F. Romani   Separable asymptotic cost of evaluating
                                  elementary functions . . . . . . . . . . 255--274
               Knut-Andreas Lie   Front tracking for one-dimensional
                                  quasilinear hyperbolic equations with
                                  variable coefficients  . . . . . . . . . 275--298
        Jürgen Müller   Series expansions for computing Bessel
                                  functions of variable order on bounded
                                  intervals  . . . . . . . . . . . . . . . 299--308

Numerical Algorithms
Volume 24, Number 4, December, 2000

                P. Chartier and   
                    B. Philippe   Preface  . . . . . . . . . . . . . . . . 0--0
            G. Carré and   
                     S. Lanteri   Parallel linear multigrid by
                                  agglomeration for the acceleration of
                                  $3$D compressible flow calculations on
                                  unstructured meshes  . . . . . . . . . . 309--332
                Jean Piquet and   
                 Xavier Vasseur   A nonstandard multigrid method with
                                  flexible multiple semicoarsening for the
                                  numerical solution of the pressure
                                  equation in a Navier--Stokes solver  . . 333--355
                Pascal Joly and   
                  Roland Masson   Wavelet preconditioning of the Stokes
                                  problem in $\psi$-$\omega$ formulation   357--369
               David Goudin and   
        Pascal Hénon and   
 François Pellegrini and   
               Pierre Ramet and   
                 Jean Roman and   
     Jean-Jacques Pesqué   Parallel sparse linear algebra and
                                  application to structural mechanics  . . 371--391
            Olivier Coulaud and   
            Pierre-Eric Bernard   Parallel constrained molecular dynamics  393--405


Numerical Algorithms
Volume 25, Number 1--4, September, 2000

                      Anonymous   Publisher's Announcement . . . . . . . . 1--1
               Owe Axelsson and   
                   Igor Kaporin   On the sublinear and superlinear rate of
                                  convergence of conjugate gradient
                                  methods  . . . . . . . . . . . . . . . . 1--22
                      Anonymous   Preface  . . . . . . . . . . . . . . . . 11--14
                      Anonymous   Reminiscences of Richard S. Varga  . . . 15--16
                     J. Baglama   Dealing with linear dependence during
                                  the iterations of the restarted block
                                  Lanczos methods  . . . . . . . . . . . . 23--36
                 Adi Ben-Israel   A local inverse for nonlinear mappings   37--46
              M. A. Bokhari and   
              H. P. Dikshit and   
                      A. Sharma   Birkhoff interpolation on some perturbed
                                  roots of unity: revisited  . . . . . . . 47--62
                   C. Brezinski   Acceleration procedures for matrix
                                  iterative methods  . . . . . . . . . . . 63--73
                D. Calvetti and   
                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Computable error bounds and estimates
                                  for the conjugate gradient method  . . . 75--88
                D. Calvetti and   
                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   An $L$-ribbon for large underdetermined
                                  linear discrete ill-posed problems . . . 89--107
             George Csordas and   
            Dimitar K. Dimitrov   Conjectures and theorems in the theory
                                  of entire functions  . . . . . . . . . . 109--122
         Marcel G. de Bruin and   
                      A. Sharma   Birkhoff interpolation on non-uniformly
                                  distributed roots of unity . . . . . . . 123--138
           Vladimir Druskin and   
             Leonid Knizhnerman   Gaussian spectral rules for second order
                                  finite-difference schemes  . . . . . . . 139--159
                Oliver G. Ernst   Equivalent iterative methods for
                                  $p$-cyclic matrices  . . . . . . . . . . 161--180
       Gregory E. Fasshauer and   
    Eugene C. Gartland, Jr. and   
               Joseph W. Jerome   Newton iteration for partial
                                  differential equations and the
                                  approximation of the identity  . . . . . 181--195
       Harald Frankenberger and   
                   Martin Hanke   Kernel polynomials for the solution of
                                  indefinite and ill-posed problems  . . . 197--212
                Walter Gautschi   High-order Gauss--Lobatto formulae . . . 213--222
              Gene H. Golub and   
           Denis Vanderstraeten   On the preconditioning of matrices with
                                  skew-symmetric splittings  . . . . . . . 223--239
                     Xin Li and   
           Charles A. Micchelli   Approximation by radial bases and neural
                                  networks . . . . . . . . . . . . . . . . 241--262
             Wilhelm Niethammer   Old and new from SOR . . . . . . . . . . 263--277
             Timothy S. Norfolk   Asymptotics of the partial sums of a set
                                  of integral transforms . . . . . . . . . 279--291
                  A. M. Odlyzko   An improved bound for the de
                                  Bruijn--Newman constant  . . . . . . . . 293--303
            V. A. Prokhorov and   
                     E. B. Saff   On meromorphic approximation . . . . . . 305--321
    Stefano Serra-Capizzano and   
        Cristina Tablino-Possio   Constructive techniques for
                                  approximating collocation linear systems 323--339
                Boris Shekhtman   On the density principle for rational
                                  functions  . . . . . . . . . . . . . . . 341--346
            Daniel B. Szyld and   
                    Jian-Jun Xu   Convergence of some asynchronous
                                  nonlinear multisplitting methods . . . . 347--361
           Richard S. Varga and   
              Amos J. Carpenter   Zeros of the partial sums of $\cos(z)$
                                  and $\sin(z)$. I . . . . . . . . . . . . 363--375
                  Heinrich Voss   A symmetry exploiting Lanczos method for
                                  symmetric Toeplitz matrices  . . . . . . 377--385
              Weichung Wang and   
              Dianne P. O'Leary   Adaptive use of iterative methods in
                                  predictor--corrector interior point
                                  methods for linear programming . . . . . 387--406


Numerical Algorithms
Volume 26, Number 1, January, 2001

               K. A. Driver and   
                     A. D. Love   Products of hypergeometric functions and
                                  the zeros of ${}_4F_3$ polynomials . . . 1--9
              Plamen Y. Yalamov   Improvement of some bounds on the
                                  stability of fast Helmholtz solvers  . . 11--20
                 A. Mazroui and   
                      D. Sbibih   Existence and construction of
                                  $\Delta_1$-splines of class $C^k$ on a
                                  three-directional mesh . . . . . . . . . 21--48
Diana Estévez Schwarz and   
             René Lamour   The computation of consistent initial
                                  values for nonlinear index-$2$
                                  differential-algebraic equations . . . . 49--75
          Tobin A. Driscoll and   
                 Bengt Fornberg   A Padé-based algorithm for overcoming the
                                  Gibbs phenomenon . . . . . . . . . . . . 77--92

Numerical Algorithms
Volume 26, Number 2, February, 2001

                    Knut Petras   Fast calculation of coefficients in the
                                  Smolyak algorithm  . . . . . . . . . . . 93--109
                Frauke Sprengel   Multilevel algorithms for finite
                                  difference discretizations on sparse
                                  grids  . . . . . . . . . . . . . . . . . 111--121
                   W. M. Wright   The construction of order $4$ DIMSIMs
                                  for ordinary differential equations  . . 123--130
              J. C. Butcher and   
                  T. M. H. Chan   Variable stepsize schemes for effective
                                  order methods and enhanced order
                                  composition methods  . . . . . . . . . . 131--150
                Christer Glader   A method for rational Chebyshev
                                  approximation of rational functions on
                                  the unit disk and on the unit interval   151--165
                Judith Ford and   
                        Ke Chen   An algorithm for accelerated computation
                                  of DWTPer-based band preconditioners . . 167--172
              Giovanni Monegato   An overview of the computational aspects
                                  of Kronrod quadrature rules  . . . . . . 173--196
                      Anonymous   Book reviews . . . . . . . . . . . . . . 197--200

Numerical Algorithms
Volume 26, Number 3, March, 2001

              J. C. Butcher and   
                  D. J. L. Chen   On the implementation of ESIRK methods
                                  for stiff IVPs . . . . . . . . . . . . . 201--218
               S. Börm and   
                    R. Hiptmair   Analysis of tensor product multigrid . . 219--234
                  S. Akesbi and   
                      E. Maitre   Minimal residual method applied to the
                                  transport equation . . . . . . . . . . . 235--249
             Paul E. Saylor and   
            Dennis C. Smolarski   Why Gaussian quadrature in the complex
                                  plane? . . . . . . . . . . . . . . . . . 251--280
          Anja Fröhner and   
         Torsten Linß and   
            Hans-Görg Roos   Defect correction on Shishkin-type
                                  meshes . . . . . . . . . . . . . . . . . 281--299
                      Anonymous   Book reviews . . . . . . . . . . . . . . 301--303

Numerical Algorithms
Volume 26, Number 4, April, 2001

  Valérie Pham-Trong and   
            Nicolas Szafran and   
                      Luc Biard   Pseudo-geodesics on three-dimensional
                                  surfaces and pseudo-geodesic meshes  . . 305--315
                     M. Heyouni   The global Hessenberg and CMRH methods
                                  for linear systems with multiple
                                  right-hand sides . . . . . . . . . . . . 317--332
            Neville J. Ford and   
             A. Charles Simpson   The numerical solution of fractional
                                  differential equations: Speed versus
                                  accuracy . . . . . . . . . . . . . . . . 333--346
               J. M. Franco and   
            I. Gómez and   
               L. Rández   Four-stage symplectic and P-stable
                                  SDIRKN methods with dispersion of high
                                  order  . . . . . . . . . . . . . . . . . 347--363
                    Fu-Rong Lin   Preconditioners for block Toeplitz
                                  systems based on circulant
                                  preconditioners  . . . . . . . . . . . . 365--379
                      Anonymous   Book reviews . . . . . . . . . . . . . . 381--384
                      Anonymous   Author index . . . . . . . . . . . . . . 385--386


Numerical Algorithms
Volume 27, Number 1, May, 2001

                   Guoting Chen   Further Reduction of Normal Forms for
                                  Vector Fields  . . . . . . . . . . . . . 1--33
            Rida T. Farouki and   
           Bethany K. Kuspa and   
                Carla Manni and   
             Alessandra Sestini   Efficient Solution of the Complex
                                  Quadratic Tridiagonal System for C2 PH
                                  Quintic Splines  . . . . . . . . . . . . 35--60
        E. X. L. de Andrade and   
            C. F. Bracciali and   
                   A. Sri Ranga   Gaussian Quadrature Rules with Simple
                                  Node-Weight Relations  . . . . . . . . . 61--76
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Fast Summation of Power Series with
                                  Coefficients Analytic at Infinity  . . . 77--87
        Philippe Lemmerling and   
              Sabine Van Huffel   Analysis of the Structured Total Least
                                  Squares Problem for Hankel/Toeplitz
                                  Matrices . . . . . . . . . . . . . . . . 89--114
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 115--117

Numerical Algorithms
Volume 27, Number 2, June, 2001

               F. Costabile and   
                      A. Napoli   A Method for Global Approximation of the
                                  Initial Value Problem  . . . . . . . . . 119--130
                      P. Oswald   Remarks on Multilevel Bases for
                                  Divergence-Free Finite Elements  . . . . 131--152
                   Aude Maignan   Real Solving of Elementary-Algebraic
                                  Systems  . . . . . . . . . . . . . . . . 153--167
                Boris I. Kvasov   Approximation by Discrete GB-Splines . . 169--188
        Martin H. Gutknecht and   
    Miroslav Rozlo\vzník   By How Much Can Residual Minimization
                                  Accelerate the Convergence of Orthogonal
                                  Residual Methods?  . . . . . . . . . . . 189--213
             Paul E. Saylor and   
            Dennis C. Smolarski   Addendum to: Why Gaussian Quadrature in
                                  the Complex Plane? . . . . . . . . . . . 215--217

Numerical Algorithms
Volume 27, Number 3, July, 2001

          Yukitaka Minesaki and   
             Yoshimasa Nakamura   The Discrete Relativistic Toda Molecule
                                  Equation and a Padé Approximation
                                  Algorithm  . . . . . . . . . . . . . . . 219--235
           Paolo Costantini and   
               Francesca Pelosi   Shape-Preserving Approximation by Space
                                  Curves . . . . . . . . . . . . . . . . . 237--264
             Christian Zillober   Global Convergence of a Nonlinear
                                  Programming Method Using Convex
                                  Approximations . . . . . . . . . . . . . 265--289
                  Angela Kunoth   Wavelet Techniques for the
                                  Fictitious-Domain-Lagrange-Multiplier-Approach 291--316

Numerical Algorithms
Volume 27, Number 4, August, 2001

                 Gunar Matthies   Mapped Finite Elements on Hexahedra.
                                  Necessary and Sufficient Conditions for
                                  Optimal Interpolation Errors . . . . . . 317--327
                O. Nouisser and   
                      D. Sbibih   Existence and Construction of Simple
                                  B-Splines of Class $C^k$ on a
                                  Four-Directional Mesh of the Plane . . . 329--358
               Manuel Calvo and   
       Jesús Vigo-Aguiar   A Note on the Step Size Selection in
                                  Adams Multistep Methods  . . . . . . . . 359--366
         Manuel A. Gómez   An $O(n^2)$ Active Set Algorithm for
                                  Solving Two Related Box Constrained
                                  Parametric Quadratic Programs  . . . . . 367--375
                Yu-Hong Dai and   
                 Hongchao Zhang   Adaptive Two-Point Stepsize Gradient
                                  Algorithm  . . . . . . . . . . . . . . . 377--385
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 387--390
                      Anonymous   Author Index . . . . . . . . . . . . . . 391--392


Numerical Algorithms
Volume 28, Number 1--4, December, 2001

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 1--2
                  F. Calio' and   
                   E. Marchetti   On an Algorithm for the Solution of
                                  Generalized Prandtl Equations  . . . . . 3--10
           M. R. Capobianco and   
               G. Criscuolo and   
                       R. Giova   A Stable and Convergent Algorithm to
                                  Evaluate Hilbert Transform . . . . . . . 11--26
                    M. Carletti   Numerical Determination of the
                                  Instability Region for a Delay Model of
                                  Phage--Bacteria Interaction  . . . . . . 27--44
                   C. Conti and   
                 R. Morandi and   
                   C. Rabut and   
                     A. Sestini   Cubic Spline Data Reduction Choosing the
                                  Knots from a Third Derivative Criterion  45--61
               F. Costabile and   
                  F. Dell'Accio   Expansions over a Simplex of Real
                                  Functions by Means of Bernoulli
                                  Polynomials  . . . . . . . . . . . . . . 63--86
               F. Costabile and   
            M. I. Gualtieri and   
                      R. Luceri   A New Iterative Method for the
                                  Computation of the Solutions of
                                  Nonlinear Equations  . . . . . . . . . . 87--100
          Stefano De Marchi and   
                 Marco Vianello   Approximating the Approximant: a
                                  Numerical Code for Polynomial
                                  Compression of Discrete Integral
                                  Operators  . . . . . . . . . . . . . . . 101--116
        Gianna M. Del Corso and   
               Francesco Romani   Heuristic Spectral Techniques for the
                                  Reduction of Bandwidth and Work-Bound of
                                  Sparse Matrices  . . . . . . . . . . . . 117--136
                 Luca Dieci and   
              Alessandra Papini   Conditioning of the Exponential of a
                                  Block Triangular Matrix  . . . . . . . . 137--150
                 Daniele Funaro   A Superconsistent Chebyshev Collocation
                                  Method for Second-Order Differential
                                  Operators  . . . . . . . . . . . . . . . 151--157
              Bruno Gabutti and   
                Luigi Gatteschi   New Asymptotics for the Zeros of
                                  Whittaker's Functions  . . . . . . . . . 159--170
       Maria Grazia Gasparo and   
          Alessandra Papini and   
                  Aldo Pasquali   Nonmonotone Algorithms for Pattern
                                  Search Methods . . . . . . . . . . . . . 171--186
                 Laura Gori and   
          Francesca Pitolli and   
                    Laura Pezza   On the Galerkin Method Based on a
                                  Particular Class of Scaling Functions    187--198
                 Laura Gori and   
          Francesca Pitolli and   
               Elisabetta Santi   Positive Refinable Operators . . . . . . 199--213
              Tiziana Isoni and   
         Pierpaolo Natalini and   
                 Paolo E. Ricci   Symbolic Computation of Newton Sum Rules
                                  for the Zeros of Polynomial
                                  Eigenfunctions of Linear Differential
                                  Operators  . . . . . . . . . . . . . . . 215--227
                P. Lamberti and   
                       C. Manni   Shape-Preserving $C^2$ Functional
                                  Interpolation via Parametric Cubics  . . 229--254
              Anna Molinaro and   
           Yaroslav D. Sergeyev   Finding the Minimal Root of an Equation
                                  with the Multiextremal and
                                  Nondifferentiable Left-Hand Part . . . . 255--272
         Giovanna Pittaluga and   
               Laura Sacripante   A Numerical Algorithm for Cubature by
                                  Bivariate Splines on Nonuniform
                                  Partitions . . . . . . . . . . . . . . . 273--284
       Maria Cristina Recchioni   Quadratically Convergent Method for
                                  Simultaneously Approaching the Roots of
                                  Polynomial Solutions of a Class of
                                  Differential Equations: Application to
                                  Orthogonal Polynomials . . . . . . . . . 285--308
    Stefano Serra Capizzano and   
        Cristina Tablino Possio   Finite Element Matrix Sequences: the
                                  Case of Rectangular Domains  . . . . . . 309--327


Numerical Algorithms
Volume 29, Number 1--3, March, 2002

                Irfan Altas and   
             Jocelyne Erhel and   
                 Murli M. Gupta   High Accuracy Solution of
                                  Three-Dimensional Biharmonic Equations   1--19
                   C. Brezinski   Block Descent Methods and Hybrid
                                  Procedures for Linear Systems  . . . . . 21--32
               C. Brezinski and   
               M. Redivo Zaglia   Block Projection Methods for Linear
                                  Systems  . . . . . . . . . . . . . . . . 33--43
                D. Calvetti and   
                     L. Reichel   Lanczos-Based Exponential Filtering for
                                  Discrete Ill-Posed Problems  . . . . . . 45--65
             André Draux   Formal Orthogonal Polynomials and
                                  Newton--Padé Approximants . . . . . . . . 67--74
            A. El Guennouni and   
                  K. Jbilou and   
                   A. J. Riquet   Block Krylov Subspace Methods for
                                  Solving Large Sylvester Equations  . . . 75--96
            P. R. Graves-Morris   The Breakdowns of BiCGStab . . . . . . . 97--105
          Gérard Meurant   A Multilevel AINV Preconditioner . . . . 107--129
                Dany Mezher and   
               Bernard Philippe   PAT --- a Reliable Path-Following
                                  Algorithm  . . . . . . . . . . . . . . . 131--152
              J. C. Miellou and   
                     P. Spiteri   Optimization of the Relaxation Parameter
                                  for S.S.O.R. and A.D.I. Preconditioning  153--195
      Brígida Molina and   
                  Marcos Raydan   Spectral Variants of Krylov Subspace
                                  Methods  . . . . . . . . . . . . . . . . 197--208
                  D. E. Roberts   The Vector Epsilon Algorithm --- a
                                  Residual Approach  . . . . . . . . . . . 209--227
                   A. Salam and   
            P. R. Graves-Morris   On the Vector $\varepsilon$-Algorithm
                                  for Solving Linear Systems of Equations  229--247
                 P. Spiteri and   
              J. C. Miellou and   
                     J. M. Bahi   Evaluations of Parameters for the
                                  Optimization of S.S.O.R. and A.D.I.
                                  Preconditioning  . . . . . . . . . . . . 249--265
          Jeannette Van Iseghem   Vector-Orthogonality and Lanczos-Type
                                  Methods  . . . . . . . . . . . . . . . . 267--279

Numerical Algorithms
Volume 29, Number 4, April, 2002

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 281--281
     Yann-Hervé De Roeck   Sparse Linear Algebra and Geophysical
                                  Migration: a Review of Direct and
                                  Iterative Methods  . . . . . . . . . . . 283--322
           Per Christian Hansen   Deconvolution and Regularization with
                                  Toeplitz Matrices  . . . . . . . . . . . 323--378
                      Anonymous   Author Index . . . . . . . . . . . . . . 379--380


Numerical Algorithms
Volume 30, Number 1, May, 2002

                S. J. Hales and   
                    J. Levesley   Error Estimates for Multilevel
                                  Approximation Using Polyharmonic Splines 1--10
                 Amparo Gil and   
              Javier Segura and   
                  Nico M. Temme   Computing Complex Airy Functions by
                                  Numerical Quadrature . . . . . . . . . . 11--23
        Barbara Zubik-Kowal and   
                Penny J. Davies   Numerical Approximation of Time Domain
                                  Electromagnetic Scattering from a Thin
                                  Wire . . . . . . . . . . . . . . . . . . 25--36
              Bernd Fischer and   
           Woula Themistoclakis   Orthogonal Polynomial Wavelets . . . . . 37--58
                      S. H. Lui   On Schwarz Alternating Methods for the
                                  Subsonic Full Potential Equation . . . . 59--69
  Mickaël Robbé and   
                 Miloud Sadkane   A Convergence Analysis of GMRES and FOM
                                  Methods for Sylvester Equations  . . . . 71--89
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 91--92

Numerical Algorithms
Volume 30, Number 2, June, 2002

              Gene H. Golub and   
                 Chen Greif and   
                 James M. Varah   Block Orderings for Tensor-Product Grids
                                  in Two and Three Dimensions  . . . . . . 93--111
           Andreas Griewank and   
              Christ\`ele Faure   Reduced Functions, Gradients and
                                  Hessians from Fixed-Point Iterations for
                                  State Equations  . . . . . . . . . . . . 113--139
          Marie-Laurence Mazure   Blossoming: from Polynomials to Power
                                  Series . . . . . . . . . . . . . . . . . 141--155
                      L. Amodei   Orthogonal Decompositions in Hilbertian
                                  Subspaces, Error Functions and Optimal
                                  Extensions of Interpolation Systems  . . 157--184
                   Hans Strauss   Approximation with Constraints by
                                  Conditionally Positive Definite
                                  Functions  . . . . . . . . . . . . . . . 185--198

Numerical Algorithms
Volume 30, Number 3--4, August, 2002

                 Lori Badea and   
                  Prabir Daripa   A Fast Algorithm for Two-Dimensional
                                  Elliptic Problems  . . . . . . . . . . . 199--239
                  F. Luengo and   
                  M. Raydan and   
                   W. Glunt and   
                   T. L. Hayden   Preconditioned Spectral Gradient Method  241--258
                E. Tijskens and   
                   D. Roose and   
                   H. Ramon and   
             J. De Baerdemaeker   Automatic Differentiation for Solving
                                  Nonlinear Partial Differential
                                  Equations: An Efficient Operator
                                  Overloading Approach . . . . . . . . . . 259--301
       Andreas Stathopoulos and   
                 Shang-Hua Teng   Recovering Mesh Geometry from a
                                  Stiffness Matrix . . . . . . . . . . . . 303--322
                  K. Driver and   
                     K. Jordaan   Zeros of
                                  $_3F_2({\matrix{-n,b,c\d,e}};z)$
                                  Polynomials  . . . . . . . . . . . . . . 323--333
            Giovanni Samaey and   
           Koen Engelborghs and   
                     Dirk Roose   Numerical Computation of Connecting
                                  Orbits in Delay Differential Equations   335--352
                      Anonymous   Author Index . . . . . . . . . . . . . . 353--354


Numerical Algorithms
Volume 31, Number 1--4, December, 2002

                  J. C. Butcher   Preface  . . . . . . . . . . . . . . . . 1--3
          Winfried Auzinger and   
                Othmar Koch and   
            Ewa Weinmüller   Efficient Collocation Schemes for
                                  Singular Boundary Value Problems . . . . 5--25
                Igor P. Boglaev   The Solution of a Singularly Perturbed
                                  Convection--Diffusion Problem by an
                                  Iterative Domain Decomposition Method    27--46
                  J. C. Butcher   The $A$-Stability of Methods with Padé
                                  and Generalized Padé Stability Functions  47--58
              J. C. Butcher and   
                    A. D. Heard   Stability of Numerical Methods for
                                  Ordinary Differential Equations  . . . . 59--73
              J. C. Butcher and   
                  Z. Jackiewicz   Error Estimation for Nordsieck Methods   75--85
              J. C. Butcher and   
               A. E. O'Sullivan   Nordsieck Methods with an Off-Step Point 87--101
                  D. J. L. Chen   Variable-Order ESIRK Methods for Stiff
                                  Differential Equations . . . . . . . . . 103--114
              Robert M. Corless   A New View of the Computational
                                  Complexity of IVP for ODE  . . . . . . . 115--124
                  W. H. Enright   The Design and Implementation of Usable
                                  ODE Software . . . . . . . . . . . . . . 125--137
           Felice Iavernaro and   
               Francesca Mazzia   Generalization of Backward
                                  Differentiation Formulas for Parallel
                                  Computers  . . . . . . . . . . . . . . . 139--155
           Felice Iavernaro and   
           Francesca Mazzia and   
               Donato Trigiante   Eigenvalues and Quasi-Eigenvalues of
                                  Banded Toeplitz Matrices: Some
                                  Properties and Applications  . . . . . . 157--170
                 Laurent O. Jay   Iterative Solution of SPARK Methods
                                  Applied to DAEs  . . . . . . . . . . . . 171--191
                Minnie Kerr and   
                  Kevin Burrage   New Multivalue Methods for Differential
                                  Algebraic Equations  . . . . . . . . . . 193--213
              T. Macdougall and   
                   J. H. Verner   Global Error Estimators for Order $7$,
                                  $8$ Runge--Kutta Pairs . . . . . . . . . 215--231
            Robert I. McLachlan   Families of High-Order Composition
                                  Methods  . . . . . . . . . . . . . . . . 233--246
             Michelle Schatzman   Numerical Integration of
                                  Reaction--Diffusion Systems  . . . . . . 247--269
                    P. W. Sharp   Requirements of a Package for $N$-Body
                                  Simulations of the Solar System  . . . . 271--279
          Gustaf Söderlind   Automatic Control and Adaptive
                                  Time-Stepping  . . . . . . . . . . . . . 281--310
                      R. Tirani   A Parallel Algorithm for the Estimation
                                  of the Global Error in Runge--Kutta
                                  Methods  . . . . . . . . . . . . . . . . 311--318
                 Igor Tsukerman   Finite Element Differential--Algebraic
                                  Systems for Eddy Current Problems  . . . 319--335
       P. J. van der Houwen and   
                B. P. Sommeijer   Approximate Factorization in Shallow
                                  Water Applications . . . . . . . . . . . 337--360
               Jan van Lent and   
              Stefan Vandewalle   Multigrid Waveform Relaxation for
                                  Anisotropic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 361--380
                   W. M. Wright   Explicit General Linear Methods with
                                  Inherent Runge--Kutta Stability  . . . . 381--399
                  J. C. Butcher   Software Issues for Ordinary
                                  Differential Equations . . . . . . . . . 401--418


Numerical Algorithms
Volume 32, Number 1, January, 2003

         E. H. Kaufman, Jr. and   
              D. J. Leeming and   
                   G. D. Taylor   Adaptive Monotone Rational Approximation
                                  on Finite Sets . . . . . . . . . . . . . 1--12
                  Y. C. Hon and   
                R. Schaback and   
                        X. Zhou   An Adaptive Greedy Algorithm for Solving
                                  Large RBF Collocation Problems . . . . . 13--25
                S. Gugercin and   
             D. C. Sorensen and   
                 A. C. Antoulas   A Modified Low-Rank Smith Method for
                                  Large-Scale Lyapunov Equations . . . . . 27--55
             Suliman Al-Homidan   Hybrid Methods for Approximating Hankel
                                  Matrix . . . . . . . . . . . . . . . . . 57--66
              Michael Hanke and   
             René Lamour   Consistent Initialization for Nonlinear
                                  Index-2 Differential--Algebraic
                                  Equation: Large Sparse Systems in MATLAB 67--85
             Michael S. Floater   Analysis of Curve Reconstruction by
                                  Meshless Parameterization  . . . . . . . 87--98
               Claude Brezinski   Book Reviews . . . . . . . . . . . . . . 99--103

Numerical Algorithms
Volume 32, Number 2--4, April, 2003

    Andrzej Kie\lbasi\'nski and   
              Krystyna Zi\ketak   Numerical Behaviour of Higham's Scaled
                                  Method for Polar Decomposition . . . . . 105--140
              Mathias Brieu and   
                 Jocelyne Erhel   On the Convergence of a Non-incremental
                                  Homogenization Method for Nonlinear
                                  Elastic Composite Materials  . . . . . . 141--161
            Elena Celledoni and   
                 Brynjulf Owren   On the Implementation of Lie Group
                                  Methods on the Stiefel Manifold  . . . . 163--183
                 B. Achchab and   
                 S. Achchab and   
                O. Axelsson and   
                     A. Souissi   Upper Bound of the Constant in
                                  Strengthened C.B.S. Inequality for
                                  Systems of Linear Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 185--191
              Stefan Paszkowski   Convergence Acceleration of Some
                                  Continued Fractions  . . . . . . . . . . 193--247
          Ernesto G. Birgin and   
          Nata\vsa Kreji\'c and   
José Mario Martínez   Globally Convergent Inexact Quasi-Newton
                                  Methods for Solving Nonlinear Systems    249--260
                 Lori Badea and   
                  Prabir Daripa   On a Fourier Method of Embedding Domains
                                  Using an Optimal Distributed Control . . 261--273
            Kamal Shanazari and   
                        Ke Chen   A Minimal Distance Constrained Adaptive
                                  Mesh Algorithm with Application to the
                                  Dual Reciprocity Method  . . . . . . . . 275--286
           David A. Huckaby and   
                   Tony F. Chan   On the Convergence of Stewart's QLP
                                  Algorithm for Approximating the SVD  . . 287--316
               J. M. Franco and   
                I. Gómez   Fourth-Order Symmetric DIRK Methods for
                                  Periodic Stiff Problems  . . . . . . . . 317--336


Numerical Algorithms
Volume 33, Number 1--4, August, 2003

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 1--2
               Claude Brezinski   A Tribute  . . . . . . . . . . . . . . . 3--9
                  J. Abouir and   
                    A. Cuyt and   
                       R. Orive   Multivariate Two-Point Padé-Type and
                                  Two-Point Padé Approximants . . . . . . . 11--26
          Winfried Auzinger and   
         Günter Kneisl and   
                Othmar Koch and   
            Ewa Weinmüller   A Collocation Code for Singular Boundary
                                  Value Problems in Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 27--39
           Silvia Bacchelli and   
                    Serena Papi   Matrix Thresholding for Multiwavelet
                                  Image Denoising  . . . . . . . . . . . . 41--52
      Richard Baltensperger and   
           Jean-Paul Berrut and   
                     Yves Dubey   The Linear Rational Pseudospectral
                                  Method with Preassigned Poles  . . . . . 53--63
              Mohammed Bellalij   Analysis of Henrici's Transformation for
                                  Singular Problems  . . . . . . . . . . . 65--82
               Laura Beutel and   
                Heinz H. Gonska   Quantitative Inheritance Properties for
                                  Simultaneous Approximation by Tensor
                                  Product Operators  . . . . . . . . . . . 83--92
                 D. A. Bini and   
                G. Codevico and   
                   M. Van Barel   Solving Toeplitz Least Squares Problems
                                  by Means of Newton's Iteration . . . . . 93--103
           A. Böttcher and   
                  S. M. Grudsky   Asymptotic Spectra of Dense Toeplitz
                                  Matrices Are Unstable  . . . . . . . . . 105--112
                 Gregory Boutry   Anti-Gaussian Padé Approximants . . . . . 113--122
                   C. Brezinski   A Classification of Quasi-Newton Methods 123--135
            John C. Butcher and   
                 Nicolette Moir   Experiments with a New Fifth Order
                                  Method . . . . . . . . . . . . . . . . . 137--151
           Daniela Calvetti and   
                 Lothar Reichel   On the Evaluation of Polynomial
                                  Coefficients . . . . . . . . . . . . . . 153--161
                   M. Calvo and   
            J. I. Montijano and   
               L. Rández   On the Solution of Discontinuous IVPs by
                                  Adaptive Runge--Kutta Codes  . . . . . . 163--182
             J. M. Carnicer and   
                       M. Gasca   Asymptotic Conditions for Degree
                                  Diminution Along Prescribed Lines  . . . 183--192
                Michel Crouzeix   Contractivity and Analyticity in $l^p$
                                  of Some Approximation of the Heat
                                  Equation . . . . . . . . . . . . . . . . 193--201
            Jean Della Dora and   
        Mihaela Mirica-Ruse and   
               Evelyne Tournier   Hybrid Systems and Hybrid Computation
                                  1st Part: Hybrid Systems . . . . . . . . 203--213
                  F. Dubeau and   
                A. Ouansafi and   
                       A. Sakat   Galerkin Methods for Nonlinear Ordinary
                                  Differential Equation with Impulses  . . 215--225
                    Yves Dumont   Some Remarks on a Vibro-Impact Scheme    227--240
        M. El Alaoui Talibi and   
                   A. El Kacimi   Numerical Simulation of the
                                  Two-Hydrodynamic Film Thickness  . . . . 241--250
                   L. Emmel and   
                S. M. Kaber and   
                       Y. Maday   Padé--Jacobi Filtering for Spectral
                                  Approximations of Discontinuous
                                  Solutions  . . . . . . . . . . . . . . . 251--264
                 Amparo Gil and   
              Javier Segura and   
                  Nico M. Temme   Computing Special Functions by Using
                                  Quadrature Rules . . . . . . . . . . . . 265--275
Concepción González-Concepción and   
María Candelaria Gil-Fariña   Padé Approximation in Economics . . . . . 277--292
            P. R. Graves-Morris   VPAStab: Stabilised Vector-Padé
                                  Approximation with Application to Linear
                                  Systems  . . . . . . . . . . . . . . . . 293--304
               Georg Heinig and   
                     Karla Rost   Fast Algorithms for Centro-Symmetric and
                                  Centro-Skewsymmetric
                                  Toeplitz-Plus-Hankel Matrices  . . . . . 305--317
                   Ale\vs Janka   A Flux Correction Multigrid for
                                  Compressible Flow  . . . . . . . . . . . 319--330
                 A. Kouibia and   
                 M. Pasadas and   
                  J. J. Torrens   Construction of Surfaces with
                                  Parallelism Conditions . . . . . . . . . 331--342
      P.-F. Lavallée and   
                     M. Sadkane   Computation of Pseudospectra by Spectral
                                  Dichotomy Methods in a Parallel
                                  Environment  . . . . . . . . . . . . . . 343--355
                   Elie Leopold   Perturbed Recurrence Relations . . . . . 357--366
               Leigh Little and   
                    Yousef Saad   Block Preconditioners for Saddle Point
                                  Problems . . . . . . . . . . . . . . . . 367--379
            Abdeljalil Nachaoui   An Improved Implementation of An
                                  Iterative Method in Boundary
                                  Identification Problems  . . . . . . . . 381--398
                O. Nouisser and   
                  D. Sbibih and   
             Paul Sablonni\`ere   A Family of Spline Quasi-Interpolants on
                                  the Sphere . . . . . . . . . . . . . . . 399--413
                  W. Ple\'sniak   Volume of Polynomial Lemniscates in
                                  C$^n$  . . . . . . . . . . . . . . . . . 415--420
        Marc Prévost and   
                 Denis Vekemans   Approximation and Prediction of the
                                  Numerical Solution of Some Burgers
                                  Problems . . . . . . . . . . . . . . . . 421--431
               G. Rodriguez and   
                  S. Seatzu and   
                       D. Theis   A New Technique for Ill-Conditioned
                                  Linear Systems . . . . . . . . . . . . . 433--442
             Paul Sablonni\`ere   An Algorithm for the Computation of
                                  Hermite--Padé Approximations to the
                                  Exponential Function: Divided
                                  Differences and Hermite--Padé; Forms  . . 443--452
             Manuela Sagona and   
             Alessandra Seghini   An a Posteriori Error Estimate for a
                                  Semi-Lagrangian Scheme for
                                  Hamilton--Jacobi Equations . . . . . . . 453--460
             Pierre Spiteri and   
        Jean-Claude Miellou and   
                  Didier El Baz   Parallel Asynchronous Schwarz and
                                  Multisplitting Methods for a Nonlinear
                                  Diffusion Problem  . . . . . . . . . . . 461--474
    Franciszek Hugon Szafraniec   Detecting Mass Points of Representing
                                  Measures . . . . . . . . . . . . . . . . 475--483
          Jeannette Van Iseghem   Vector Stieltjes Continued Fraction and
                                  Vector QD Algorithm  . . . . . . . . . . 485--498
          Ernst Joachim Weniger   A Rational Approximant for the Digamma
                                  Function . . . . . . . . . . . . . . . . 499--507
         M. S. Zakynthinaki and   
                Y. G. Saridakis   Stochastic Optimization for Adaptive
                                  Real-Time Wavefront Correction . . . . . 509--520


Numerical Algorithms
Volume 34, Number 1, September, 2003

                    Miquel Grau   An Improvement to the Computing of
                                  Nonlinear Equation Solutions . . . . . . 1--12
         Nicholas J. Higham and   
               Matthew I. Smith   Computing the Matrix Cosine  . . . . . . 13--26
                T. E. Simos and   
              I. T. Famelis and   
                   C. Tsitouras   Zero Dissipative, Explicit Numerov-Type
                                  Methods for Second Order IVPs with
                                  Oscillating Solutions  . . . . . . . . . 27--40
               T. Luzyanina and   
             K. Engelborghs and   
                       D. Roose   Computing Stability of Differential
                                  Equations with Bounded Distributed
                                  Delays . . . . . . . . . . . . . . . . . 41--66
                 A. Mazroui and   
                  D. Sbibih and   
                      A. Tijini   $C^k$--B-splines with Square Support on
                                  a Three-Direction Mesh of the Plane  . . 67--84
           Daniela Calvetti and   
                 Lothar Reichel   Gauss Quadrature Applied to Trust Region
                                  Computations . . . . . . . . . . . . . . 85--102
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 103--106

Numerical Algorithms
Volume 34, Number 2--4, December, 2003

            Nisrine Achachi and   
  Françoise Richard-Jung   Computer Algebra and Bifurcations  . . . 107--115
                    M. Afif and   
                    B. Amaziane   Numerical Simulation of Two-Phase Flow
                                  through Heterogeneous Porous Media . . . 117--125
                    M. Afif and   
                  A. Bergam and   
                 Z. Mghazli and   
               R. Verfürth   A Posteriori Estimators for the Finite
                                  Volume Discretization of an Elliptic
                                  Problem  . . . . . . . . . . . . . . . . 127--136
                M. Akhmouch and   
                    N. Guessous   High-Order Analytical Nodal Method for
                                  the Multigroup Diffusion Equations . . . 137--146
             Giampietro Allasia   Simultaneous Interpolation and
                                  Approximation by a Class of Multivariate
                                  Positive Operators . . . . . . . . . . . 147--158
            El Bachir Ameur and   
               Driss Sbibih and   
               Paul Sablonniere   A General Multiresolution Method for
                                  Fitting Functions on the Sphere  . . . . 159--171
              B. Beckermann and   
                      A. Osipov   Some Spectral Properties of Infinite
                                  Band Matrices  . . . . . . . . . . . . . 173--185
                  A. Bergam and   
                C. Bernardi and   
                   F. Hecht and   
                     Z. Mghazli   Error Indicators for the Mortar Finite
                                  Element Discretization of a Parabolic
                                  Problem  . . . . . . . . . . . . . . . . 187--201
                A. C. Berti and   
            C. F. Bracciali and   
                   A. Sri Ranga   Orthogonal Polynomials Associated with
                                  Related Measures and Sobolev Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 203--216
                 D. A. Bini and   
              G. Fiorentino and   
               L. Gemignani and   
                       B. Meini   Effective Fast Algorithms for Polynomial
                                  Spectral Factorization . . . . . . . . . 217--227
                  A. Chakib and   
                T. Ghemires and   
                    A. Nachaoui   Study of a Numerical Approach for a
                                  Transient Flow Problem in Porous Media   229--243
               J. P. Chehab and   
                       B. Costa   Multiparameter Schemes for Evolutionary
                                  Equations  . . . . . . . . . . . . . . . 245--257
                   Ronald Cools   Extrapolation and Adaptivity in Software
                                  for Automatic Numerical Integration on a
                                  Cube . . . . . . . . . . . . . . . . . . 259--269
               N. Del Buono and   
                       L. Lopez   Numerical Integration of a Class of
                                  Ordinary Differential Equations on the
                                  General Linear Group of Matrices . . . . 271--281
       Lilianne Denis-Vidal and   
   Ghislaine Joly-Blanchard and   
           Céline Noiret   System Identifiability (Symbolic
                                  Computation) and Parameter Estimation
                                  (Numerical Computation)  . . . . . . . . 283--292
               Z. Dostál   A Proportioning Based Algorithm with
                                  Rate of Convergence for Bound
                                  Constrained Quadratic Programming  . . . 293--302
     François Dubois and   
 Stéphanie Mengué   Mixed Collocation for Fractional
                                  Differential Equations . . . . . . . . . 303--311
               Dario Fasino and   
                 Luca Gemignani   Direct and Inverse Eigenvalue Problems
                                  for Diagonal-Plus-Semiseparable Matrices 313--324
               Michael Hill and   
                   Ian Robinson   A Comparison of Strategies for the
                                  Automatic Computation of Two-Dimensional
                                  Integrals over Infinite Domains  . . . . 325--338
                      K. Jbilou   Block Krylov Subspace Methods for Large
                                  Algebraic Riccati Equations  . . . . . . 339--353
           Mohammed Khachan and   
   François Guibault and   
                    Hafsa Deddi   Characterization of Trimmed NURBS
                                  Surface Boundaries Using Topological
                                  Criteria . . . . . . . . . . . . . . . . 355--366
                 A. Kouibia and   
                 M. Pasadas and   
         M. L. Rodríguez   Construction of ODE Curves . . . . . . . 367--377
                    M. Kzaz and   
              M. Prévost   Convergence Acceleration of
                                  Gauss--Chebyshev Quadrature Formulae . . 379--391
              E. C. Laskari and   
          K. E. Parsopoulos and   
                 M. N. Vrahatis   Evolutionary Operators in Global
                                  Optimization with Dynamic Search
                                  Trajectories . . . . . . . . . . . . . . 393--403
               A. Palomares and   
              V. Ramírez   Thresholds of the Divisor Methods  . . . 405--415
                       N. Revol   Interval Newton Iteration in Multiple
                                  Precision for the Univariate Case  . . . 417--426
             S. Serra-Capizzano   Practical Band Toeplitz Preconditioning
                                  and Boundary Layer Effects . . . . . . . 427--440
                      Anonymous   List of Participants . . . . . . . . . . 441--452


Numerical Algorithms
Volume 35, Number 1, January, 2004

           Voichi\cta Maxim and   
          Marie-Laurence Mazure   Subdivision Schemes and Irregular Grids  1--28
   Yiorgos-Sokratis Smyrlis and   
           Andreas Karageorghis   A Linear Least-Squares MFS for Certain
                                  Elliptic Problems  . . . . . . . . . . . 29--44
             Dorota D\kabrowska   Jitter and Measurement Errors in
                                  Approximation and Integration of
                                  Lipschitz Functions  . . . . . . . . . . 45--60
      Stanis\law Lewanowicz and   
                 Pawe\l Wo\'zny   Recurrence Relations for the
                                  Coefficients in Series Expansions with
                                  Respect to Semi-Classical Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 61--79
                Qing-Hu Hou and   
              Alain Lascoux and   
                    Yan-Ping Mu   Continued Fractions for Rogers--Szeg\Ho
                                  Polynomials  . . . . . . . . . . . . . . 81--90
                    Guizhi Chen   The Use of Refined Harmonic Shifts in
                                  the Implicitly Restarted Refined
                                  Harmonic Arnoldi Method  . . . . . . . . 91--96
              Oren E. Livne and   
                  Gene H. Golub   Scaling by Binormalization . . . . . . . 97--120
        Barbara Zubik-Kowal and   
                Penny J. Davies   Fourier Stability Analysis of a
                                  Numerical Method for Time Domain
                                  Electromagnetic Scattering from a Thin
                                  Wire . . . . . . . . . . . . . . . . . . 121--130
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 131--136

Numerical Algorithms
Volume 35, Number 2--4, April, 2004

José Mario Martínez and   
                   Jin Yun Yuan   Preface  . . . . . . . . . . . . . . . . 137--137
                      X. Wu and   
             B. P. B. Silva and   
                     J. Y. Yuan   Conjugate Gradient Method for Rank
                                  Deficient Saddle Point Problems  . . . . 139--154
Carlos Henrique Medeiros de Sabóia and   
       Manoel Campêlo and   
              Susana Scheimberg   A Computational Study of Global
                                  Algorithms for Linear Bilevel
                                  Programming  . . . . . . . . . . . . . . 155--173
          Carlos Humes, Jr. and   
          Paulo J. S. Silva and   
               Benar F. Svaiter   Some Inexact Hybrid Proximal Augmented
                                  Lagrangian Algorithms  . . . . . . . . . 175--184
          Clovis C. Gonzaga and   
                   Marli Cardia   Properties of the Central Points in
                                  Linear Programming Problems  . . . . . . 185--204
                Musheng Wei and   
        Alvaro R. De Pierro and   
                    Jiahong Yin   Error Estimates for Two Filters Based on
                                  Polynomial Interpolation for Recovering
                                  a Function from Its Fourier Coefficients 205--231
              Wilfredo Sosa and   
           Fernanda M. P. Raupp   A New Approach to a Multicriteria
                                  Optimization Problem . . . . . . . . . . 233--247
                Yu-Hong Dai and   
                Li-Zhi Liao and   
                        Duan Li   On Restart Procedures for the Conjugate
                                  Gradient Method  . . . . . . . . . . . . 249--260
        Rosana Pérez and   
  Véra Lucia Rocha Lopes   Recent Applications and Numerical
                                  Implementation of Quasi-Newton Methods
                                  for Solving Nonlinear Systems of
                                  Equations  . . . . . . . . . . . . . . . 261--285
              Carlile Lavor and   
                 Nelson Maculan   A Function to Test Methods Applied to
                                  Global Minimization of Potential Energy
                                  of Molecules . . . . . . . . . . . . . . 287--300
                D. Calvetti and   
                 L. Reichel and   
                      A. Shuibi   $L$-Curve and Curvature Bounds for
                                  Tikhonov Regularization  . . . . . . . . 301--314
               Marcia Fampa and   
                 Nelson Maculan   Using a Conic Formulation for Finding
                                  Steiner Minimal Trees  . . . . . . . . . 315--330
                N. Echebest and   
          M. T. Guardarucci and   
                 H. Scolnik and   
                 M. C. Vacchino   An Acceleration Scheme for Solving
                                  Convex Feasibility Problems Using
                                  Incomplete Projection Algorithms . . . . 331--350
               Owe Axelsson and   
              Zhong-Zhi Bai and   
                   Shou-Xia Qiu   A Class of Nested Iteration Schemes for
                                  Linear Systems with a Coefficient Matrix
                                  with a Dominant Positive Definite
                                  Symmetric Part . . . . . . . . . . . . . 351--372
         Elon Santos Correa and   
 Maria Teresinha A. Steiner and   
            Alex A. Freitas and   
                 Celso Carnieri   A Genetic Algorithm for Solving a
                                  Capacitated $p$-Median Problem . . . . . 373--388
                      Anonymous   List of Participants . . . . . . . . . . 389--395


Numerical Algorithms
Volume 36, Number 1, May, 2004

     Ferenc Kálovics and   
Gabriella Mészáros   Box Valued Functions in Solving Systems
                                  of Equations and Inequalities  . . . . . 1--12
            Rida T. Farouki and   
                 Chang Yong Han   Computation of Minkowski Values of
                                  Polynomials over Complex Sets  . . . . . 13--29
               Kai Diethelm and   
            Neville J. Ford and   
                  Alan D. Freed   Detailed Error Analysis for a Fractional
                                  Adams Method . . . . . . . . . . . . . . 31--52
              J. C. Butcher and   
                  Z. Jackiewicz   Construction of General Linear Methods
                                  with Runge--Kutta Stability Properties   53--72
              James G. Nagy and   
             Katrina Palmer and   
                   Lisa Perrone   Iterative Methods for Image Deblurring:
                                  a Matlab Object-Oriented Approach  . . . 73--93

Numerical Algorithms
Volume 36, Number 2, June, 2004

                 Lori Badea and   
                  Prabir Daripa   A Domain Embedding Method Using the
                                  Optimal Distributed Control and a Fast
                                  Algorithm  . . . . . . . . . . . . . . . 95--112
                 Amparo Gil and   
              Wolfram Koepf and   
                  Javier Segura   Computing the Real Zeros of
                                  Hypergeometric Functions . . . . . . . . 113--134
                W. Auzinger and   
         H. Hofstätter and   
                 W. Kreuzer and   
             E. Weinmüller   Modified Defect Correction Algorithms
                                  for ODEs. Part I: General Theory . . . . 135--155
             Luca Gemignani and   
                   Grazia Lotti   Rounding Error Analysis in Solving
                                  $M$-Matrix Linear Systems of Block
                                  Hessenberg Form  . . . . . . . . . . . . 157--168
           Francesca Mazzia and   
               Donato Trigiante   A Hybrid Mesh Selection Strategy Based
                                  on Conditioning for Boundary Value ODE
                                  Problems . . . . . . . . . . . . . . . . 169--187

Numerical Algorithms
Volume 36, Number 3, July, 2004

              Kuniyoshi Abe and   
           Shao-Liang Zhang and   
            Taketomo Mitsui and   
                  Cheng-Hai Jin   A Variant of the ORTHOMIN(2) Method for
                                  Singular Linear Systems  . . . . . . . . 189--202
           Bernard Bialecki and   
           Andreas Karageorghis   Legendre Gauss Spectral Collocation for
                                  the Helmholtz Equation on a Rectangle    203--227
            Leszek Plaskota and   
        Grzegorz W. Wasilkowski   Smolyak's Algorithm for Integration and
                                  $L_1$-Approximation of Multivariate
                                  Functions with Bounded Mixed Derivatives
                                  of Second Order  . . . . . . . . . . . . 229--246
              Richard J. Mathar   Numerical Representations of the
                                  Incomplete Gamma Function of
                                  Complex-Valued Argument  . . . . . . . . 247--264
  F. Jézéquel and   
                J.-M. Chesneaux   Computation of an Infinite Integral
                                  Using Romberg's Method . . . . . . . . . 265--283

Numerical Algorithms
Volume 36, Number 4, August, 2004

         Juri D. Kandilarov and   
                Lubin G. Vulkov   The Immersed Interface Method for a
                                  Nonlinear Chemical Diffusion Equation
                                  with Local Sites of Reactions  . . . . . 285--307
                   C. Brezinski   Extrapolation Algorithms for Filtering
                                  Series of Functions, and Treating the
                                  Gibbs Phenomenon . . . . . . . . . . . . 309--329
      Henrik Brandén and   
                  Per Sundqvist   An Algorithm for Computing Fundamental
                                  Solutions of Difference Operators  . . . 331--343
                   C. Conti and   
                      K. Jetter   Concerning Order of Convergence for
                                  Subdivision  . . . . . . . . . . . . . . 345--363
            Gianni Codevico and   
              Victor Y. Pan and   
                 Marc Van Barel   Newton-Like Iteration Based on a Cubic
                                  Polynomial for Structured Matrices . . . 365--380
                      Anonymous   Author Index, Volume 36 (2004) . . . . . 381--381
                      Anonymous   Contents of Volume 36 (2004) . . . . . . 383--384


Numerical Algorithms
Volume 37, Number 1--4, December, 2004

                     R. Alt and   
                  J.-L. Lamotte   In Honour of Jean Vignes and Ulrich
                                  Kulisch  . . . . . . . . . . . . . . . . 1--2
Marilton Sanchotene de Aguiar and   
Graçaliz Pereira Dimuro and   
Antônio Carlos da Rocha Costa   ICTM: An Interval Tessellation-Based
                                  Model for Reliable Topographic
                                  Segmentation . . . . . . . . . . . . . . 3--11
              Ahmet Akka\cs and   
         Michael J. Schulte and   
                 James E. Stine   Intrinsic Compiler Support for Interval
                                  Arithmetic . . . . . . . . . . . . . . . 13--20
       Roselyne Avot-Chotin and   
                   Habib Mehrez   Hardware Implementation of Discrete
                                  Stochastic Arithmetic  . . . . . . . . . 21--33
             Fritz G. Boese and   
              Wolfram J. Luther   Enclosure of the Zero Set of
                                  Multivariate Exponential Interval
                                  Polynomials  . . . . . . . . . . . . . . 35--44
               Sylvie Boldo and   
                    Marc Daumas   A Simple Test Qualifying the Accuracy of
                                  Horner's Rule for Polynomials  . . . . . 45--60
      J. A. Martínez and   
               L. G. Casado and   
           I. García and   
            Ya. D. Sergeyev and   
                 B. Tóth   On an Efficient Use of Gradient
                                  Information for Accelerating Interval
                                  Global Optimization Algorithms . . . . . 61--69
              Elena V. Chausova   Dynamic Network Inventory Control Model
                                  with Interval Nonstationary Demand
                                  Uncertainty  . . . . . . . . . . . . . . 71--84
András Erik Csallner and   
              Tibor Csendes and   
András Balázs Kocsis   Reliable Numerical Computation in Civil
                                  Engineering  . . . . . . . . . . . . . . 85--91
                  Tibor Csendes   Generalized Subinterval Selection
                                  Criteria for Interval Global
                                  Optimization . . . . . . . . . . . . . . 93--100
               James Demmel and   
                      Yozo Hida   Fast and Accurate Floating Point
                                  Summation with Application to
                                  Computational Geometry . . . . . . . . . 101--112
Laurent-Stéphane Didier and   
                    Fabien Rico   High Radix BKM Algorithm . . . . . . . . 113--125
                Eva Dyllong and   
                 Wolfram Luther   The GJK Distance Algorithm: An Interval
                                  Version for Incremental Motions  . . . . 127--136
            Daniela Fausten and   
             Wolfram Luther and   
        Gerhard Haßlinger   Accurate Computation of Traffic Workload
                                  Distributions  . . . . . . . . . . . . . 137--146
Luiz Henrique de Figueiredo and   
                   Jorge Stolfi   Affine Arithmetic: Concepts and
                                  Applications . . . . . . . . . . . . . . 147--158
               Nikolaj Glazunov   Interval Computations and Their
                                  Categorification . . . . . . . . . . . . 159--164
                   S. Hamdi and   
              W. H. Enright and   
                 Y. Ouellet and   
                W. E. Schiesser   Exact Solutions of Extended Boussinesq
                                  Equations  . . . . . . . . . . . . . . . 165--175
           Ismail I. Idriss and   
             Wolfgang V. Walter   Validated Infeasible Interior-Point
                                  Predictor--Corrector Methods for Linear
                                  Programming  . . . . . . . . . . . . . . 177--185
             Michel Kieffer and   
                    Eric Walter   Guaranteed Nonlinear State Estimator for
                                  Cooperative Systems  . . . . . . . . . . 187--198
               Lubomir V. Kolev   Solving Linear Systems Whose Elements
                                  Are Nonlinear Functions of Intervals . . 199--212
               Lubomir V. Kolev   An Improved Interval Linearization for
                                  Solving Nonlinear Problems . . . . . . . 213--224
          Vladik Kreinovich and   
            Eric J. Pauwels and   
            Scott A. Ferson and   
                   Lev Ginzburg   A Feasible Algorithm for Locating
                                  Concave and Convex Zones of Interval
                                  Data and Its Use in Statistics-Based
                                  Clustering . . . . . . . . . . . . . . . 225--232
           Stefanie Krivsky and   
                     Bruno Lang   Using Interval Arithmetic for
                                  Determining the Structure of Convex
                                  Hulls  . . . . . . . . . . . . . . . . . 233--240
              Andrzej Marciniak   Implicit Interval Methods for Solving
                                  the Initial Value Problem  . . . . . . . 241--251
Mihály Csaba Markót   Optimal Packing of $28$ Equal Circles in
                                  a Unit Square --- The First Reliable
                                  Solution . . . . . . . . . . . . . . . . 253--261
               Svetoslav Markov   On Quasivector Spaces of Convex Bodies
                                  and Zonotopes  . . . . . . . . . . . . . 263--274
           Svetoslav Markov and   
                   Rene Alt and   
               Jean-Luc Lamotte   Stochastic Arithmetic: $s$-spaces and
                                  Some Applications  . . . . . . . . . . . 275--284
         Bharat C. Mulupuru and   
          Vladik Kreinovich and   
               Roberto Osegueda   Interval Approach to Phase Measurements
                                  Can Lead to Arbitrarily Complex Sets ---
                                  a Theorem and Ways around It . . . . . . 285--299
            Sunao Murashige and   
                Shin'ichi Oishi   Numerical Verification of Solutions of
                                  Periodic Integral Equations with a
                                  Singular Kernel  . . . . . . . . . . . . 301--310
         Mitsuhiro T. Nakao and   
             Yoshitaka Watanabe   An Efficient Approach to the Numerical
                                  Verification for Solutions of Elliptic
                                  Differential Equations . . . . . . . . . 311--323
      Nedialko S. Nedialkov and   
          Vladik Kreinovich and   
                Scott A. Starks   Interval Arithmetic, Affine Arithmetic,
                                  Taylor Series Methods: Why, What Next?   325--336
                       M. Neher   A Complex Mean Value Form for Curves . . 337--343
             Evgenija D. Popova   Parametric Interval Linear Solver  . . . 345--356
   Renata Hax Sander Reiser and   
Graçaliz Pereira Dimuro and   
Antônio Carlos da Rocha Costa   The Interval Geometric Machine Model . . 357--366
               David Defour and   
           Guillaume Hanrot and   
          Vincent Lef\`evre and   
         Jean-Michel Muller and   
             Nathalie Revol and   
                Paul Zimmermann   Proposal for a Standardization of
                                  Mathematical Function Implementation in
                                  Floating-Point Arithmetic  . . . . . . . 367--375
                    Jean Vignes   Discrete Stochastic Arithmetic for
                                  Validating Results of Numerical Software 377--390
  Tamás Vinkó and   
                   Dietmar Ratz   A Multidimensional Branch-and-Prune
                                  Method for Interval Global Optimization  391--399
         G. William Walster and   
                   Eldon Hansen   Using Pillow Functions to Efficiently
                                  Compute Crude Range Tests  . . . . . . . 401--415
Jürgen Wolff von Gudenberg and   
              Vladik Kreinovich   A Full Function-Based Calculus of
                                  Directed and Undirected Intervals:
                                  Markov's Interval Arithmetic Revisited   417--428


Numerical Algorithms
Volume 38, Number 1--3, March, 2005

                      Anonymous   Chebyshev Polynomials and Spectral
                                  Methods  . . . . . . . . . . . . . . . . 1--2
                J. C. Mason and   
                    A. Crampton   Laurent--Padé Approximants to Four Kinds
                                  of Chebyshev Polynomial Expansions. Part
                                  I. Maehly Type Approximants  . . . . . . 3--18
                J. C. Mason and   
                    A. Crampton   Laurent--Padé Approximants to Four Kinds
                                  of Chebyshev Polynomial Expansions. Part
                                  II: Clenshaw--Lord Type Approximants . . 19--29
             Mohamed K. El-Daou   A Tau Method with Perturbed Boundary
                                  Conditions for Certain Ordinary
                                  Differential Equations . . . . . . . . . 31--45
               Alvise Sommariva   A Fast Nyström--Broyden Solver by
                                  Chebyshev Compression  . . . . . . . . . 47--60
                    J. C. Mason   The Minimality Properties of Chebyshev
                                  Polynomials and Their Lacunary Series    61--78
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Adaptive Bivariate Chebyshev
                                  Approximation  . . . . . . . . . . . . . 79--94
               C. J. Talbot and   
                    A. Crampton   Application of the Pseudo-Spectral
                                  Method to $2$D Eigenvalue Problems in
                                  Elasticity . . . . . . . . . . . . . . . 95--110
                 E. Leriche and   
                    G. Labrosse   Fundamental Stokes Eigenmodes in the
                                  Square: Which Expansion Is More
                                  Accurate, Chebyshev or Reid--Harris? . . 111--131
               A. S. Palmer and   
                 T. N. Phillips   Numerical Approximation of the Spectra
                                  of Phan-Thien Tanner Liquids . . . . . . 133--153
        Michael M. J. Proot and   
              Marc I. Gerritsma   Application of the Least-Squares
                                  Spectral Element Method Using Chebyshev
                                  Polynomials to Solve the Incompressible
                                  Navier--Stokes Equations . . . . . . . . 155--172
        Bart De Maerschalck and   
              Marc I. Gerritsma   The Use of Chebyshev Polynomials in the
                                  Space--Time Least-Squares Spectral
                                  Element Method . . . . . . . . . . . . . 173--196
                   John P. Boyd   Chebyshev Solution of the
                                  Nearly-Singular One-Dimensional
                                  Helmholtz Equation and Related Singular
                                  Perturbation Equations: Multiple Scale
                                  Series and the Boundary Layer
                                  Rule-of-Thumb  . . . . . . . . . . . . . 197--207
            Lionel Mathelin and   
        M. Yousuff Hussaini and   
                 Thomas A. Zang   Stochastic Approaches to Uncertainty
                                  Quantification in CFD Simulations  . . . 209--236

Numerical Algorithms
Volume 38, Number 4, April, 2005

         Nicola Mastronardi and   
             Marc Van Barel and   
                  Raf Vandebril   A note on the recursive calculation of
                                  dominant singular subspaces  . . . . . . 237--242
        Alicja Smoktunowicz and   
            Iwona Wróbel   On improving the accuracy of Horner's
                                  and Goertzel's algorithms  . . . . . . . 243--258
               Yuehong Tang and   
   Günter W. Mühlbach   Cardinal ECT-splines . . . . . . . . . . 259--283
Luis Manuel Hernández-Ramos   Alternating oblique projections for
                                  coupled linear systems . . . . . . . . . 285--303
              Sergio Blanes and   
                 Fernando Casas   Raising the order of geometric numerical
                                  integrators by composition and
                                  extrapolation  . . . . . . . . . . . . . 305--326
                      Anonymous   Book reviews . . . . . . . . . . . . . . 327--331


Numerical Algorithms
Volume 39, Number 1--3, July, 2005

          Dominique Apprato and   
             Christian Gout and   
           Christophe Rabut and   
            Leonardo Traversoni   Multivariate approximation: An overview  1--6
                Jeremy Levesley   Where there's a Will there's a way --
                                  the research of Will Light . . . . . . . 7--34
       Eduardo Bayro-Corrochano   Multi-resolution image analysis using
                                  the quaternion wavelet transform . . . . 35--55
                 R. A. Brownlee   Error estimates for interpolation of
                                  rough data using the scattered shifts of
                                  a radial basis function  . . . . . . . . 57--68
             J. M. Carnicer and   
                       M. Gasca   Generation of lattices of points for
                                  bivariate interpolation  . . . . . . . . 69--79
      Daniel Castaño and   
                  Angela Kunoth   Multilevel regularization of wavelet
                                  based fitting of scattered data --- some
                                  experiments  . . . . . . . . . . . . . . 81--96
              Maria Charina and   
             Costanza Conti and   
                   Thomas Sauer   Regularity of multivariate vector
                                  subdivision schemes  . . . . . . . . . . 97--113
            Andrew Crampton and   
                  John C. Mason   Detecting and approximating fault lines
                                  from randomly scattered data . . . . . . 115--130
     Lidia Fernández and   
     Teresa E. Pérez and   
         Miguel A. Piñar   Classical orthogonal polynomials in two
                                  variables: a matrix approach . . . . . . 131--142
 Jorge L. Díaz Calle and   
      Philippe R. B. Devloo and   
          Sónia M. Gomes   Wavelets and adaptive grids for the
                                  discontinuous Galerkin method  . . . . . 143--154
             Christian Gout and   
          Carole Le Guyader and   
                  Luminita Vese   Segmentation under geometrical
                                  conditions using geodesic active
                                  contours and interpolation using level
                                  set methods  . . . . . . . . . . . . . . 155--173
         Miklós Hoffmann   Numerical control of Kohonen neural
                                  network for scattered data approximation 175--186
                 Armin Iske and   
                Jeremy Levesley   Multilevel scattered data approximation
                                  by adaptive domain decomposition . . . . 187--198
                  Angela Kunoth   Adaptive wavelet schemes for an elliptic
                                  control problem with Dirichlet boundary
                                  control  . . . . . . . . . . . . . . . . 199--220
          Carole Le Guyader and   
          Dominique Apprato and   
                 Christian Gout   Using a level set approach for image
                                  segmentation under interpolation
                                  conditions . . . . . . . . . . . . . . . 221--235
Antonio-Jesús López-Moreno and   
Francisco-Javier Muñoz-Delgado   Asymptotic expansion of multivariate
                                  Kantorovich type operators . . . . . . . 237--252
               Svenja Lowitzsch   A density theorem for matrix-valued
                                  radial basis functions . . . . . . . . . 253--256
          Marie-Laurence Mazure   Blossoming stories . . . . . . . . . . . 257--288
                G. Casciola and   
                 D. Lazzaro and   
           L. B. Montefusco and   
                      S. Morigi   Fast surface reconstruction and hole
                                  filling using positive definite radial
                                  basis functions  . . . . . . . . . . . . 289--305
           Francis J. Narcowich   Recent developments in error estimates
                                  for scattered-data interpolation via
                                  radial basis functions . . . . . . . . . 307--315
             Marco Paluszny and   
         Guillermo Montilla and   
      José Rafael Ortega   Lemniscates $3$D: a CAGD primitive?  . . 317--327
               Christophe Rabut   Locally tensor product functions . . . . 329--348

Numerical Algorithms
Volume 39, Number 4, August, 2005

              Dario A. Bini and   
         Nicholas J. Higham and   
                 Beatrice Meini   Algorithms for the matrix $p$th root . . 349--378
             N. Mastronardi and   
                E. Van Camp and   
                   M. Van Barel   Divide and conquer algorithms for
                                  computing the eigendecomposition of
                                  symmetric diagonal-plus-semiseparable
                                  matrices . . . . . . . . . . . . . . . . 379--398
          Marie-Laurence Mazure   Towards existence of piecewise
                                  Chebyshevian B-spline bases  . . . . . . 399--414
      Miodrag S. Petkovi\'c and   
       Du\vsan M. Milo\vsevi\'c   A higher order family for the
                                  simultaneous inclusion of multiple zeros
                                  of polynomials . . . . . . . . . . . . . 415--435
                    Ahmed Salam   On theoretical and numerical aspects of
                                  symplectic Gram--Schmidt-like algorithms 437--462


Numerical Algorithms
Volume 40, Number 1, September, 2005

             M. G. de Bruin and   
                  H. P. Dikshit   Pál-type Birkhoff interpolation on
                                  nonuniformly distributed points  . . . . 1--16
                  T. O. Espelid   Computation of an infinite integral
                                  using series acceleration  . . . . . . . 17--22
             Torsten Linß   Sufficient conditions for uniform
                                  convergence on layer-adapted meshes for
                                  one-dimensional reaction--diffusion
                                  problems . . . . . . . . . . . . . . . . 23--32
                Miquel Grau and   
                 Josep M. Peris   Iterative method generated by inverse
                                  interpolation with additional
                                  evaluations  . . . . . . . . . . . . . . 33--45
          Ricardo D. Fierro and   
           Per Christian Hansen   UTV Expansion Pack: Special-purpose
                                  rank-revealing algorithms  . . . . . . . 47--66
           Waleed Al-Hayani and   
            Luis Casasús   Approximate analytical solution of
                                  fourth order boundary value problems . . 67--78
          Winfried Auzinger and   
                Othmar Koch and   
            Dirk Praetorius and   
            Ewa Weinmüller   New a posteriori error estimates for
                                  singular boundary value problems . . . . 79--100

Numerical Algorithms
Volume 40, Number 2, October, 2005

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 101--101
           Jean-Paul Chehab and   
                Jacques Laminie   Differential equations and solution of
                                  linear systems . . . . . . . . . . . . . 103--124
             Judith M. Ford and   
         Eugene E. Tyrtyshnikov   Solving linear systems using wavelet
                                  compression combined with Kronecker
                                  product approximation  . . . . . . . . . 125--135
                 M. Heyouni and   
                       A. Essai   Matrix Krylov subspace methods for
                                  linear systems with multiple right-hand
                                  sides  . . . . . . . . . . . . . . . . . 137--156
          Gérard Meurant   Estimates of the $l_2$ norm of the error
                                  in the conjugate gradient algorithm  . . 157--169
       Maria Morandi Cecchi and   
              Massimo Fornasier   Fast homogenization algorithm based on
                                  asymptotic theory and multiscale schemes 171--186
                A. Nachaoui and   
             J. Abouchabaka and   
                     N. Rafalia   Parallel solvers for the depletion
                                  region identification in metal
                                  semiconductor field effect transistors   187--199
                       H. Sadok   Analysis of the convergence of the
                                  minimal and the orthogonal residual
                                  methods  . . . . . . . . . . . . . . . . 201--216

Numerical Algorithms
Volume 40, Number 3, November, 2005

                F. Marcuzzi and   
              M. Morandi Cecchi   A parallel solver for adaptive finite
                                  element discretizations  . . . . . . . . 217--231
               Jens Struckmeier   A deterministic scheme for
                                  Smoluchowski's coagulation equation
                                  based on binary grid refinement  . . . . 233--249
            Rida T. Farouki and   
             Chang Yong Han and   
                      Joel Hass   Boundary evaluation algorithms for
                                  Minkowski combinations of complex sets
                                  using topological analysis of implicit
                                  curves . . . . . . . . . . . . . . . . . 251--283
                W. Auzinger and   
         H. Hofstätter and   
                 W. Kreuzer and   
             E. Weinmüller   Modified defect correction algorithms
                                  for ODEs. Part II: Stiff initial value
                                  problems . . . . . . . . . . . . . . . . 285--303
            Natalia Kopteva and   
               Niall Madden and   
                  Martin Stynes   Grid equidistribution for
                                  reaction--diffusion problems in one
                                  dimension  . . . . . . . . . . . . . . . 305--322

Numerical Algorithms
Volume 40, Number 4, December, 2005

                  F. Fauvet and   
                     J. Thomann   Formal and numerical computations with
                                  resurgent functions  . . . . . . . . . . 323--353
                    A. Aimi and   
               M. Diligenti and   
                   F. Lunardini   Panel clustering method and restriction
                                  matrices for symmetric Galerkin BEM  . . 355--382
       Gareth I. Hargreaves and   
             Nicholas J. Higham   Efficient algorithms for the matrix
                                  cosine and sine  . . . . . . . . . . . . 383--400
                    Piotr Gajda   Smolyak's algorithm for weighted
                                  $L_1$-approximation of multivariate
                                  functions with bounded $r$th mixed
                                  derivatives over $R^d$ . . . . . . . . . 401--414
              J. C. Butcher and   
                     G. Hojjati   Second derivative methods with RK
                                  stability  . . . . . . . . . . . . . . . 415--429


Numerical Algorithms
Volume 41, Number 1, January, 2006

                 M. Bozzini and   
              L. Lenarduzzi and   
                    R. Schaback   Kernel B-splines and interpolation . . . 1--16
                 Scott A. Sarra   Digital total variation filtering as
                                  postprocessing for Chebyshev
                                  pseudospectral methods for conservation
                                  laws . . . . . . . . . . . . . . . . . . 17--33
Günter W. Mühlbach and   
                   Yuehong Tang   Computing ECT-B-splines recursively  . . 35--78
        Michael Breuß and   
         Andrea Bürgel and   
                Thomas Brox and   
               Thomas Sonar and   
               Joachim Weickert   Numerical aspects of TV flow . . . . . . 79--101

Numerical Algorithms
Volume 41, Number 2, February, 2006

     Harald Hofstätter and   
                    Othmar Koch   Analysis of a defect correction method
                                  for geometric integrators  . . . . . . . 103--126
María-Luisa Rapún and   
         Francisco-Javier Sayas   Boundary integral approximation of a
                                  heat-diffusion problem in time-harmonic
                                  regime . . . . . . . . . . . . . . . . . 127--160
               Silvana Ilie and   
          Robert M. Corless and   
                      Greg Reid   Numerical solutions of index-$1$
                                  differential algebraic equations can be
                                  computed in polynomial time  . . . . . . 161--171
               Zhen-Jun Shi and   
                       Jie Shen   On memory gradient method with trust
                                  region for unconstrained optimization    173--196
               Olga Taussky and   
                      John Todd   Cholesky, Toeplitz and the triangular
                                  factorization of symmetric matrices  . . 197--202

Numerical Algorithms
Volume 41, Number 3, March, 2006

              I. Al-Subaihi and   
                   G. A. Watson   An algorithm for matching point sets
                                  using the $l_1$ norm . . . . . . . . . . 203--217
        Marek J. \'Smieta\'nski   An approximate Newton method for
                                  non-smooth equations with finite max
                                  functions  . . . . . . . . . . . . . . . 219--238
          Heinz H. Bauschke and   
       Patrick L. Combettes and   
                  Serge G. Kruk   Extrapolation algorithm for
                                  affine-convex feasibility problems . . . 239--274
             C. van der Mee and   
               G. Rodriguez and   
                      S. Seatzu   Fast computation of two-level circulant
                                  preconditioners  . . . . . . . . . . . . 275--295
                    Rafal Nowak   A method of convergence acceleration of
                                  some continued fractions . . . . . . . . 297--317
              Raf Vandebril and   
                 Gene Golub and   
                 Marc Van Barel   A small note on the scaling of symmetric
                                  positive definite semiseparable matrices 319--326

Numerical Algorithms
Volume 41, Number 4, April, 2006

                Jinhai Chen and   
                      Weiguo Li   An exponential regula falsi method for
                                  solving nonlinear equations  . . . . . . 327--338
                Markus Fenn and   
               Stefan Kunis and   
                   Daniel Potts   Fast evaluation of trigonometric
                                  polynomials from hyperbolic crosses  . . 339--352
              Stefan Paszkowski   Evaluation of a Harrison integral  . . . 353--358
               J. L. Gracia and   
                   E. O'Riordan   A defect-correction parameter-uniform
                                  numerical method for a singularly
                                  perturbed convection-diffusion problem
                                  in one dimension . . . . . . . . . . . . 359--385
               Tony F. Chan and   
                        Ke Chen   On a nonlinear multigrid algorithm with
                                  primal relaxation for the image total
                                  variation minimisation . . . . . . . . . 387--411


Numerical Algorithms
Volume 42, Number 1, May, 2006

             Juan Dominguez and   
María D. González-Lima   A primal-dual interior-point algorithm
                                  for quadratic programming  . . . . . . . 1--30
                  Zhongxiao Jia   Using cross-product matrices to compute
                                  the SVD  . . . . . . . . . . . . . . . . 31--61
                 Neculai Andrei   An acceleration of gradient descent
                                  algorithm with backtracking for
                                  unconstrained optimization . . . . . . . 63--73
              Simon Hubbert and   
             Stefan Müller   Interpolation with circular basis
                                  functions  . . . . . . . . . . . . . . . 75--90
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 91--94

Numerical Algorithms
Volume 42, Number 2, June, 2006

                Fengbo Hang and   
                     Youming Li   On applicability of the sparse grid
                                  method in the worst case setting . . . . 95--105
                  Thomas Slawig   PDE-constrained control using
                                  Femlab-Control of the Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 107--126
       Gyurhan H. Nedzhibov and   
           Vejdi I. Hasanov and   
                Milko G. Petkov   On some families of multi-point
                                  iterative methods for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 127--136
                 E. H. Doha and   
                   A. H. Bhrawy   Efficient spectral-Galerkin algorithms
                                  for direct solution for second-order
                                  differential equations using Jacobi
                                  polynomials  . . . . . . . . . . . . . . 137--164
           H. Hashemi Mehne and   
           A. Hashemi Borzabadi   A numerical method for solving optimal
                                  control problems using state
                                  parametrization  . . . . . . . . . . . . 165--169
                 Shayne Waldron   Computing orthogonal polynomials on a
                                  triangle by degree raising . . . . . . . 171--179
                Jin-jun Hou and   
              Zhen-yun Peng and   
                Xiang-lin Zhang   An iterative method for the least
                                  squares symmetric solution of matrix
                                  equation $A X B = C A X B = C$ . . . . . 181--192
            I. Alonso-Mallo and   
                    B. Cano and   
                   M. J. Moreta   Stable Runge--Kutta--Nyström methods for
                                  dissipative stiff problems . . . . . . . 193--203

Numerical Algorithms
Volume 42, Number 3--4, July, 2006

              Michele Benzi and   
       Ljiljana Cvetkovi\'c and   
                Michael Neumann   Preface  . . . . . . . . . . . . . . . . 205--206
              Zhong-Zhi Bai and   
                 Jun-Liang Dong   A modified damped Newton method for
                                  linear complementarity problems  . . . . 207--228
           Ljiljana Cvetkovi\'c   $H$-matrix theory vs. eigenvalue
                                  localization . . . . . . . . . . . . . . 229--245
           Lilia Yu. Kolotilina   Bounds for the Perron root,
                                  singularity/nonsingularity conditions,
                                  and eigenvalue inclusion sets  . . . . . 247--280
            Volker Mehrmann and   
                   Chunchao Shi   Transformation of high order linear
                                  differential-algebraic systems to first
                                  order  . . . . . . . . . . . . . . . . . 281--307
                Daniel B. Szyld   The many proofs of an identity on the
                                  norm of oblique projections  . . . . . . 309--323
       Ljiljana Cvetkovi\'c and   
              Vladimir Kosti\'c   New subclasses of block $H$-matrices
                                  with applications to parallel
                                  decomposition-type relaxation methods    325--334
       Ljiljana Cvetkovi\'c and   
               Djurdjica Takaci   On matrices with operator entries  . . . 335--344
        Marko D. Petkovi\'c and   
      Predrag S. Stanimirovi\'c   Interpolation algorithm of
                                  Leverrier--Faddeev type for polynomial
                                  matrices . . . . . . . . . . . . . . . . 345--361
      Miodrag S. Petkovi\'c and   
         Ljiljana D. Petkovi\'c   On the convergence of the sequences of
                                  Gerschgorin-like disks . . . . . . . . . 363--377


Numerical Algorithms
Volume 43, Number 1, September, 2006

              Stefan Becuwe and   
                     Annie Cuyt   On the fast solution of Toeplitz-block
                                  linear systems arising in multivariate
                                  approximation theory . . . . . . . . . . 1--24
                  M. Ganesh and   
                  S. C. Hawkins   A spectrally accurate algorithm for
                                  electromagnetic scattering in three
                                  dimensions . . . . . . . . . . . . . . . 25--60
              Wilhelm Heinrichs   Least-squares spectral collocation with
                                  the overlapping Schwarz method for the
                                  incompressible Navier--Stokes equations  61--73
                G. Casciola and   
               E. Franchini and   
                      L. Romani   The mixed directional
                                  difference-summation algorithm for
                                  generating the Bézier net of a trivariate
                                  four-direction Box-spline  . . . . . . . 75--98
        Gennady Yu. Kulikov and   
              Sergey K. Shindin   One-leg variable-coefficient formulas
                                  for ordinary differential equations and
                                  local-global step size control . . . . . 99--121

Numerical Algorithms
Volume 43, Number 2, October, 2006

            A. Karageorghis and   
              Y.-S. Smyrlis and   
                   T. Tsangaris   A matrix decomposition MFS algorithm for
                                  certain linear elasticity problems . . . 123--149
              Dario A. Bini and   
                      Ana Marco   Computing curve intersection by means of
                                  simultaneous iterations  . . . . . . . . 151--175
                  Amin Boumenir   Power series solutions for the KPP
                                  equation . . . . . . . . . . . . . . . . 177--187
             G. Alistair Watson   Fitting enclosing cylinders to data in
                                  $R^n$  . . . . . . . . . . . . . . . . . 189--196

Numerical Algorithms
Volume 43, Number 3, November, 2006

              Serena Morigi and   
             Lothar Reichel and   
              Fiorella Sgallari   A truncated projected SVD method for
                                  linear discrete ill-posed problems . . . 197--213
        E. X. L. de Andrade and   
                   A. Sri Ranga   Modified Chebyshev algorithm: some
                                  applications . . . . . . . . . . . . . . 215--233
                     Yves Lucet   Fast Moreau envelope computation I:
                                  numerical algorithms . . . . . . . . . . 235--249
              James Baglama and   
                 Lothar Reichel   Restarted block Lanczos
                                  bidiagonalization methods  . . . . . . . 251--272
                Jisheng Kou and   
                      Yitian Li   A variant of Chebyshev's method with
                                  sixth-order convergence  . . . . . . . . 273--278
                   C. Brezinski   The life and work of André Cholesky . . . 279--288
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 289--294

Numerical Algorithms
Volume 43, Number 4, December, 2006

                  A. G. Bratsos   A modified predictor--corrector scheme
                                  for the two-dimensional sine-Gordon
                                  equation . . . . . . . . . . . . . . . . 295--308
                 Vita Rutka and   
               Andreas Wiegmann   Explicit jump immersed interface method
                                  for virtual material design of the
                                  effective elastic moduli of composite
                                  materials  . . . . . . . . . . . . . . . 309--330
         Abeer Ali Abushama and   
               Bernard Bialecki   Modified nodal cubic spline collocation
                                  for biharmonic equations . . . . . . . . 331--353
                  M. Ganesh and   
                    K. Mustapha   A fully discrete $H^1$-Galerkin method
                                  with quadrature for nonlinear
                                  advection-diffusion-reaction equations   355--383
         Marcin Studniarski and   
               El Desouky Rahmo   Approximating Clarke's subgradients of
                                  semismooth functions by divided
                                  differences  . . . . . . . . . . . . . . 385--392


Numerical Algorithms
Volume 44, Number 1, January, 2007

              Wilhelm Heinrichs   An adaptive spectral least-squares
                                  scheme for the Burgers equation  . . . . 1--10
                Tao-Wen Liu and   
                    Dong-Hui Li   A cautious BFGS update for reduced
                                  Hessian SQP  . . . . . . . . . . . . . . 11--28
                   Marc Fuentes   Diagonalization of the symmetrized
                                  discrete $i$-th right shift operator: an
                                  elementary proof . . . . . . . . . . . . 29--43
                Sergio Amat and   
             Sonia Busquier and   
               J. Carlos Trillo   On multiresolution schemes using a
                                  stencil selection procedure:
                                  applications to ENO schemes  . . . . . . 45--68
               Sofiya Ostrovska   The approximation of logarithmic
                                  function by $q$-Bernstein polynomials in
                                  the case $q > 1$  . . . . . . . . . . . . 69--82
         Wies\law Krajewski and   
                  Umberto Viaro   On MIMO model reduction by the weighted
                                  equation-error approach  . . . . . . . . 83--98

Numerical Algorithms
Volume 44, Number 2, February, 2007

                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Orthogonal projection regularization
                                  operators  . . . . . . . . . . . . . . . 99--114
           Marnix Van Daele and   
            Guido Vanden Berghe   P-stable Obrechkoff methods of arbitrary
                                  order for second-order differential
                                  equations  . . . . . . . . . . . . . . . 115--131
             J. M. Carnicer and   
                C. Godés   Generalized principal lattices and cubic
                                  pencils  . . . . . . . . . . . . . . . . 133--145
          Vedat Suat Erturk and   
                  Shaher Momani   A reliable algorithm for solving
                                  tenth-order boundary value problems  . . 147--158
                 Ch. Roland and   
                R. Varadhan and   
                C. E. Frangakis   Squared polynomial extrapolation methods
                                  with cycling: an application to the
                                  positron emission tomography problem . . 159--172
              Mao-lin Liang and   
              Chuan-hua You and   
                    Li-fang Dai   An efficient algorithm for the
                                  generalized centro-symmetric solution of
                                  matrix equation $A X B = C$  . . . . . . 173--184
           G. M. Amiraliyev and   
                 Hakki Duru and   
              I. G. Amiraliyeva   A parameter-uniform numerical method for
                                  a Sobolev problem with initial layer . . 185--203

Numerical Algorithms
Volume 44, Number 3, March, 2007

     Stéphane Mallat and   
           Gabriel Peyré   A review of Bandlet methods for
                                  geometrical image representation . . . . 205--234
         Michael S. Floater and   
       Atgeirr F. Rasmussen and   
                    Ulrich Reif   Extrapolation methods for approximating
                                  arc length and surface area  . . . . . . 235--248
             Stamatis Koumandos   On a conjectured inequality of Gautschi
                                  and Leopardi for Jacobi polynomials  . . 249--253
                O. Kounchev and   
                      H. Render   Convergence of polyharmonic splines on
                                  semi-regular grids $\mathbb{Z} \times a
                                  \mathbb{Z}^n$ for \boldmath $a \otimes
                                  0$ . . . . . . . . . . . . . . . . . . . 255--272
                  S. P. Sidorov   Optimal interpolation of convergent
                                  algebraic series . . . . . . . . . . . . 273--279
                   D. G. Natsis   Solitary wave solutions of the
                                  one-dimensional Boussinesq equations . . 281--289
                  Ch. Tsitouras   Runge--Kutta interpolants for high
                                  precision computations . . . . . . . . . 291--307

Numerical Algorithms
Volume 44, Number 4, April, 2007

 Ruymán Cruz-Barroso and   
 Pablo González-Vera and   
             Olav Njåstad   On bi-orthogonal systems of
                                  trigonometric functions and quadrature
                                  formulas for periodic integrands . . . . 309--333
      Dominique Küpper and   
           Jürgen Lehn and   
      Andreas Rößler   A step size control algorithm for the
                                  weak approximation of stochastic
                                  differential equations . . . . . . . . . 335--346
                   Elie Leopold   Perturbed recurrence relations. II. The
                                  general case . . . . . . . . . . . . . . 347--366
             Marcel G. de Bruin   `Classical' convergence theorems for
                                  generalized continued fractions  . . . . 367--380
                  V. Kanwar and   
                    S. K. Tomar   Modified families of multi-point
                                  iterative methods for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 381--389
              E. Berriochoa and   
              A. Cachafeiro and   
            F. Marcellán   A new numerical quadrature formula on
                                  the unit circle  . . . . . . . . . . . . 391--401


Numerical Algorithms
Volume 45, Number 1--4, August, 2007

          Stefano De Marchi and   
      Michela Redivo-Zaglia and   
                 Marco Vianello   Preface  . . . . . . . . . . . . . . . . 1--9
                Walter Gautschi   A guided tour through my bibliography    11--35
           M. R. Capobianco and   
                   G. Criscuolo   Some remarks on the numerical
                                  computation of integrals on an unbounded
                                  interval . . . . . . . . . . . . . . . . 37--48
              Gasper Jaklic and   
               Jernej Kozak and   
             Marjeta Krajnc and   
                Vito Vitrih and   
                     Emil Zagar   Three-pencil lattices on triangulations  49--60
           Annamaria Mazzia and   
     Massimiliano Ferronato and   
               Giorgio Pini and   
             Giuseppe Gambolati   A comparison of numerical integration
                                  rules for the meshless local
                                  Petrov--Galerkin method  . . . . . . . . 61--74
               Paul C. Leopardi   Positive weight quadrature on the sphere
                                  and monotonicities of Jacobi polynomials 75--87
                 Joris Van Deun   Eigenvalue problems to compute almost
                                  optimal points for rational
                                  interpolation with prescribed poles  . . 89--99
         Takemitsu Hasegawa and   
              Susumu Hibino and   
             Yohsuke Hosoda and   
                Ichizo Ninomiya   An extended doubly-adaptive quadrature
                                  method based on the combination of the
                                  Ninomiya and the FLR schemes . . . . . . 101--112
                   Carl de Boor   Multivariate polynomial interpolation:
                                  conjectures concerning GC-sets . . . . . 113--125
        Ekatherina A. Karatsuba   On an approach to the study of the
                                  Jaynes--Cummings sum in quantum optics   127--137
                    Dirk Laurie   Calculation of Radau--Kronrod and
                                  Lobatto--Kronrod quadrature formulas . . 139--152
María Álvarez de Morales and   
     Lidia Fernández and   
         Teresa E. Pérez   On differential properties for bivariate
                                  orthogonal polynomials . . . . . . . . . 153--166
              Simon Hubbert and   
             Stefan Müller   Thin plate spline interpolation on the
                                  unit interval  . . . . . . . . . . . . . 167--177
                    Yuan Xu and   
             Oleg Tischenko and   
             Christoph Hoeschen   Image reconstruction by OPED algorithm
                                  with averaging . . . . . . . . . . . . . 179--193
               Dario Fasino and   
                 Luca Gemignani   Structured eigenvalue problems for
                                  rational Gauss quadrature  . . . . . . . 195--204
       Iurie Nicolae Caraus and   
              Feras M. Al Faqih   Approximate solution of singular
                                  integro-differential equations in
                                  generalized Hölder spaces . . . . . . . . 205--215
            Walter Gautschi and   
                  Paul Leopardi   Conjectured inequalities for Jacobi
                                  polynomials and their largest zeros  . . 217--230
                 Shayne Waldron   Hermite polynomials on the plane . . . . 231--238
           Carl Heinrich Rohwer   The estimation of moments of an unknown
                                  error distribution in the discrete pulse
                                  transform  . . . . . . . . . . . . . . . 239--251
            F. A. Costabile and   
                  F. Dell'Accio   New embedded boundary-type quadrature
                                  formulas for the simplex . . . . . . . . 253--267
                Giorgio Mantica   Fractal measures and polynomial
                                  sampling: I.F.S.--Gaussian integration   269--281
             Toshihide Ueno and   
             Simon Truscott and   
                   Masami Okada   New spline basis functions for sampling
                                  approximations . . . . . . . . . . . . . 283--293
                    Tomas Sauer   Approximate varieties, approximate
                                  ideals and dimension reduction . . . . . 295--313
               Carlo Drioli and   
               Davide Rocchesso   On the use of kernel-based methods in
                                  sound synthesis by physical modeling . . 315--329
           Roberto Bertelle and   
            Maria Rosaria Russo   An approach to the Gummel map by vector
                                  extrapolation methods  . . . . . . . . . 331--343
       Gregory E. Fasshauer and   
                  Jack G. Zhang   On choosing ``optimal'' shape parameters
                                  for RBF approximation  . . . . . . . . . 345--368
               Jean-Paul Berrut   A formula for the error of finite
                                  sinc-interpolation over a finite
                                  interval . . . . . . . . . . . . . . . . 369--374
       Oliver Salazar Celis and   
                 Annie Cuyt and   
               Brigitte Verdonk   Rational approximation of vertical
                                  segments . . . . . . . . . . . . . . . . 375--388
                R. Brownlee and   
               A. N. Gorban and   
                    J. Levesley   Stable simulation of fluid flow with
                                  high-Reynolds number using Ehrenfests'
                                  steps  . . . . . . . . . . . . . . . . . 389--408


Numerical Algorithms
Volume 46, Number 1, September, 2007

                Katja Ihsberner   Roundoff error analysis of fast DCT
                                  algorithms in fixed point arithmetic . . 1--22
                Dongxiu Xie and   
              Ningjun Huang and   
                      Qin Zhang   An inverse eigenvalue problem and a
                                  matrix approximation problem for
                                  symmetric skew-Hamiltonian matrices  . . 23--34
     M. A. Hernández and   
                      N. Romero   On the efficiency index of one-point
                                  iterative processes  . . . . . . . . . . 35--44
         Athanassios G. Bratsos   A second order numerical scheme for the
                                  solution of the one-dimensional
                                  Boussinesq equation  . . . . . . . . . . 45--58
               Dennis Cates and   
                      Anne Gelb   Detecting derivative discontinuity
                                  locations in piecewise continuous
                                  functions from Fourier spectral data . . 59--84
              Xiaoping Wang and   
             Weizhong Zhang and   
                    Liyan Zhang   Intersection of a ruled surface with a
                                  free-form surface  . . . . . . . . . . . 85--100
              Xiaoping Wang and   
             Weizhong Zhang and   
                    Liyan Zhang   Erratum: Intersection of a ruled surface
                                  with a free-form surface . . . . . . . . 101--103

Numerical Algorithms
Volume 46, Number 2, October, 2007

                 Hong Zheng and   
                     Jianlin Li   A practical solution for KKT systems . . 105--119
                 Peter K. Moore   The impact of parameter selection on the
                                  performance of an automatic adaptive
                                  code for solving reaction-diffusion
                                  equations in three dimensions  . . . . . 121--139
           Alina S\^\intamarian   A generalization of Euler's constant . . 141--151
                 Lunji Song and   
                     Yujiang Wu   Incremental unknowns in
                                  three-dimensional stationary problem . . 153--171
                Zhongyi Liu and   
                      Wenyu Sun   An infeasible interior-point algorithm
                                  with full-Newton step for linear
                                  optimization . . . . . . . . . . . . . . 173--188
           Per Christian Hansen   Regularization Tools version 4.0 for
                                  Matlab 7.3 . . . . . . . . . . . . . . . 189--194

Numerical Algorithms
Volume 46, Number 3, November, 2007

               A. H. Khater and   
            A. B. Shamardan and   
            D. K. Callebaut and   
                M. R. A. Sakran   Numerical solutions of integral and
                                  integro-differential equations using
                                  Legendre polynomials . . . . . . . . . . 195--218
                   Pawel Keller   A method for indefinite integration of
                                  oscillatory and singular functions . . . 219--251
          Miodrag M. Spalevi\'c   A note on generalized averaged Gaussian
                                  formulas . . . . . . . . . . . . . . . . 253--264
                Tina Bosner and   
                  Mladen Rogina   Non-uniform exponential tension splines  265--294

Numerical Algorithms
Volume 46, Number 4, December, 2007

  Rodrigo M. S. de Oliveira and   
 Carlos Leonidas S. S. Sobrinho   UPML formulation for truncating
                                  conductive media in curvilinear
                                  coordinates  . . . . . . . . . . . . . . 295--319
                P. Auquiert and   
                  O. Gibaru and   
                       E. Nyiri   On the cubic $L_1$ spline interpolant to
                                  the Heaviside function . . . . . . . . . 321--332
               M. Van Daele and   
               G. Vanden Berghe   P-stable exponentially-fitted Obrechkoff
                                  methods of arbitrary order for
                                  second-order differential equations  . . 333--350
          Sergio Barrachina and   
               Peter Benner and   
Enrique S. Quintana-Ortí   Efficient algorithms for generalized
                                  algebraic Bernoulli equations based on
                                  the matrix sign function . . . . . . . . 351--368
             Frances Y. Kuo and   
               Ian H. Sloan and   
          Henryk Wo\'zniakowski   Periodization strategy may fail in high
                                  dimensions . . . . . . . . . . . . . . . 369--391


Numerical Algorithms
Volume 47, Number 1, January, 2008

               I. A. Al-Subaihi   An algorithm for fitting circular arcs
                                  to data using the $l_1$ norm . . . . . . 1--14
                 Skander Belhaj   A fast method to block-diagonalize a
                                  Hankel matrix  . . . . . . . . . . . . . 15--34
              Stefan Paszkowski   Convergence acceleration of orthogonal
                                  series . . . . . . . . . . . . . . . . . 35--62
                   R. S. Temsah   Spectral methods for some singularly
                                  perturbed third order ordinary
                                  differential equations . . . . . . . . . 63--80
               A. H. Khater and   
            A. B. Shamardan and   
            D. K. Callebaut and   
                M. R. A. Sakran   Solving integral equations with
                                  logarithmic kernels by Chebyshev
                                  polynomials  . . . . . . . . . . . . . . 81--93
                  V. Kanwar and   
              Sukhjit Singh and   
                      S. Bakshi   Simple geometric constructions of
                                  quadratically and cubically convergent
                                  iterative functions to solve nonlinear
                                  equations  . . . . . . . . . . . . . . . 95--107

Numerical Algorithms
Volume 47, Number 2, February, 2008

             Roger B. Sidje and   
           Alan B. Williams and   
                  Kevin Burrage   Fast generalized cross validation using
                                  Krylov subspace methods  . . . . . . . . 109--131
           A. Jason Boggess and   
              B. Eric Bunch and   
            C. Charles N. Moore   Fourier series and the Lubkin
                                  $W$-transform  . . . . . . . . . . . . . 133--142
                 Neculai Andrei   Another hybrid conjugate gradient
                                  algorithm for unconstrained optimization 143--156
         Ioannis K. Argyros and   
                 Livinus U. Uko   On the convergence of the midpoint
                                  method . . . . . . . . . . . . . . . . . 157--167
        Ramesh Chand Mittal and   
                    Ruchi Nigam   Solution of a class of singular boundary
                                  value problems . . . . . . . . . . . . . 169--179
                 A. Mandloi and   
                   A. K. Pathak   $(0, 2)$ Pál-type interpolation on a
                                  circle in the complex plane involving
                                  Möbius transforms . . . . . . . . . . . . 181--190
            Desanka Radunovi\'c   Multiresolution exponential B-splines
                                  and singularly perturbed boundary
                                  problem  . . . . . . . . . . . . . . . . 191--210

Numerical Algorithms
Volume 47, Number 3, March, 2008

                  Linas Vepstas   An efficient algorithm for accelerating
                                  the convergence of oscillatory series,
                                  useful for computing the polylogarithm
                                  and Hurwitz zeta functions . . . . . . . 211--252
              Yuli Eidelman and   
             Luca Gemignani and   
                 Israel Gohberg   Efficient eigenvalue computation for
                                  quasiseparable Hermitian matrices under
                                  low rank perturbations . . . . . . . . . 253--273
              Sayed Mahmoud and   
                   Xiaojun Chen   A verified inexact implicit Runge--Kutta
                                  method for nonsmooth ODEs  . . . . . . . 275--290
                  P. Maroni and   
                    Z. da Rocha   Connection coefficients between
                                  orthogonal polynomials and the canonical
                                  sequence: an approach based on symbolic
                                  computation  . . . . . . . . . . . . . . 291--314

Numerical Algorithms
Volume 47, Number 4, April, 2008

                P. Mokhtary and   
                 S. M. Hosseini   ``Rescale and modify'' implementation of
                                  IRKS methods . . . . . . . . . . . . . . 315--325
            Xiangchao Zhang and   
                Xiangqian Jiang   Numerical analyses of the boundary
                                  effect of radial basis functions in $3$D
                                  surface reconstruction . . . . . . . . . 327--339
                Yunkai Zhou and   
                    Yousef Saad   Block Krylov--Schur method for large
                                  symmetric eigenvalue problems  . . . . . 341--359
                   Kai Diethelm   An investigation of some nonclassical
                                  methods for the numerical approximation
                                  of Caputo-type fractional derivatives    361--390
   Joaquim J. Júdice and   
              Marcos Raydan and   
    Silvério S. Rosa and   
               Sandra A. Santos   On the solution of the symmetric
                                  eigenvalue complementarity problem by
                                  the spectral projected gradient
                                  algorithm  . . . . . . . . . . . . . . . 391--407


Numerical Algorithms
Volume 48, Number 1--3, July, 2008

               Carl de Boor and   
             Christian Gout and   
              Angela Kunoth and   
               Christophe Rabut   Multivariate approximation: theory and
                                  applications. An overview  . . . . . . . 1--9
               Richard Vale and   
                 Shayne Waldron   Tight frames generated by finite
                                  nonabelian groups  . . . . . . . . . . . 11--27
Victoria Hernández-Mederos and   
  Pedro L. del Ángel and   
        Jorge Estrada-Sarlabous   Isotropic umbrella based triangulation
                                  of regular parametric surfaces . . . . . 29--47
                  S. Setzer and   
                  G. Steidl and   
                      T. Teuber   Restoration of images with rotated
                                  shapes . . . . . . . . . . . . . . . . . 49--66
                    C. Gout and   
              C. Le Guyader and   
                  L. Romani and   
            A.-G. Saint-Guirons   Approximation of surfaces with fault(s)
                                  and/or rapidly varying data, using a
                                  segmentation process, $D^m$-splines and
                                  the finite element method  . . . . . . . 67--92
              Gasper Jaklic and   
               Jernej Kozak and   
             Marjeta Krajnc and   
                Vito Vitrih and   
                     Emil Zagar   Barycentric coordinates for Lagrange
                                  interpolation over lattices on a simplex 93--104
          Carole Le Guyader and   
                 Christian Gout   Geodesic active contour under
                                  geometrical conditions: theory and $3$D
                                  applications . . . . . . . . . . . . . . 105--133
           Christophe Rabut and   
                 Milvia Rossini   Polyharmonic multiresolution analysis:
                                  an overview and some new results . . . . 135--160
          Carsten Burstedde and   
                  Angela Kunoth   A wavelet-based nested iteration-inexact
                                  conjugate gradient algorithm for
                                  adaptively solving elliptic PDEs . . . . 161--188
           Nicolas Forcadel and   
          Carole Le Guyader and   
                 Christian Gout   Generalized fast marching method:
                                  applications to image segmentation . . . 189--211
                  S. B. Damelin   A walk through energy, discrepancy,
                                  numerical integration and group
                                  invariant measures on measurable subsets
                                  of Euclidean space . . . . . . . . . . . 213--235
             Larry L. Schumaker   Computing bivariate splines in scattered
                                  data fitting and the finite-element
                                  method . . . . . . . . . . . . . . . . . 237--260
           Karine Dadourian and   
               Jacques Liandrat   Analysis of some bivariate non-linear
                                  interpolatory subdivision schemes  . . . 261--278

Numerical Algorithms
Volume 48, Number 4, August, 2008

                   G. Landi and   
            E. Loli Piccolomini   A projected Newton--CG method for
                                  nonnegative astronomical image
                                  deblurring . . . . . . . . . . . . . . . 279--300
           Mikael Slevinsky and   
                 Hassan Safouhi   Numerical treatment of a twisted tail
                                  using extrapolation methods  . . . . . . 301--316
                    Wang Haijun   On new third-order convergent iterative
                                  formulas . . . . . . . . . . . . . . . . 317--325
   J. Martín-Vaquero and   
                 J. Vigo-Aguiar   Exponential fitted Gauss, Radau and
                                  Lobatto methods of low order . . . . . . 327--346
               Xinghua Wang and   
                    Peipei Tang   A generalization of Müller's iteration
                                  method based on standard information . . 347--359
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A Fréchet derivative-free cubically
                                  convergent method for set-valued maps    361--371
    Virginia Alarcón and   
                Sergio Amat and   
             Sonia Busquier and   
               Fernando Manzano   High order iterative schemes for
                                  quadratic equations  . . . . . . . . . . 373--381
                   Elie Leopold   Perturbed recurrence relations. III. The
                                  general case---some new applications . . 383--402


Numerical Algorithms
Volume 49, Number 1--4, December, 2008

             Giampietro Allasia   Biographic notes on Luigi Gatteschi  . . 1--4
             Giampietro Allasia   Luigi Gatteschi --- List of publications 5--9
            Walter Gautschi and   
                 Carla Giordano   Luigi Gatteschi's work on asymptotics of
                                  special functions and their zeros  . . . 11--31
                    J. Abad and   
         F. J. Gómez and   
                       J. Sesma   An algorithm to obtain global solutions
                                  of the double confluent Heun equation    33--51
                    Horst Alzer   Gamma function inequalities  . . . . . . 53--84
               C. Brezinski and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for linear systems with
                                  applications to regularization . . . . . 85--104
               Wenchang Chu and   
                  Xiaoyuan Wang   Abel's lemma on summation by parts and
                                  terminating $q$-series identities  . . . 105--128
         Djurdje Cvijovi\'c and   
               H. M. Srivastava   Closed-form evaluations of certain
                                  definite integrals by employing the
                                  Cauchy integral theorem  . . . . . . . . 129--141
               Kathy Driver and   
            Kerstin Jordaan and   
                  Norbert Mbuyi   Interlacing of the zeros of Jacobi
                                  polynomials with different parameters    143--152
 Árpád Elbert and   
                Andrea Laforgia   The zeros of the complementary error
                                  function . . . . . . . . . . . . . . . . 153--157
              Bruno Gabutti and   
             Giampietro Allasia   Evaluation of $q$-gamma function and
                                  $q$-analogues by iterative algorithms    159--168
                 Luis Garza and   
    Javier Hernández and   
     Francisco Marcellán   Spectral transformations of measures
                                  supported on the unit circle and the
                                  Szeg\Ho transformation . . . . . . . . . 169--185
                Walter Gautschi   The numerical evaluation of a
                                  challenging integral . . . . . . . . . . 187--194
                Walter Gautschi   On a conjectured inequality for the
                                  largest zero of Jacobi polynomials . . . 195--198
      Stanis\law Lewanowicz and   
              Pawel Wo\'zny and   
           Iván Area and   
                  Eduardo Godoy   Multivariate generalized Bernstein
                                  polynomials: identities for orthogonal
                                  polynomials of two variables . . . . . . 199--220
                  Lee Lorch and   
              Martin E. Muldoon   Monotonic sequences related to zeros of
                                  Bessel functions . . . . . . . . . . . . 221--233
                   J. N. Lyness   Numerical evaluation of a
                                  fixed-amplitude variable-phase integral  235--249
                  P. Maroni and   
                       M. Mejri   The symmetric $D_\omega$-semi-classical
                                  orthogonal polynomials of class one  . . 251--282
             G. Mastroianni and   
                    G. Monegato   Some new applications of truncated
                                  Gauss--Laguerre quadrature formulas  . . 283--297
         Pierpaolo Natalini and   
            Roberto Patrizi and   
                 Paolo E. Ricci   The Dirichlet problem for the Laplace
                                  equation in a starlike domain of a
                                  Riemann surface  . . . . . . . . . . . . 299--313
            Sotirios E. Notaris   Positivity of the weights of
                                  interpolatory quadrature formulae with
                                  Bernstein--Szeg\Ho abscissae . . . . . . 315--329
                  W.-Y. Qiu and   
                        R. Wong   Global asymptotic expansions of the
                                  Laguerre polynomials --- a
                                  Riemann--Hilbert approach  . . . . . . . 331--372
          André Ronveaux   Orthogonal polynomials --- centroid of
                                  their zeroes . . . . . . . . . . . . . . 373--385
                  Javier Segura   Interlacing of the zeros of contiguous
                                  hypergeometric functions . . . . . . . . 387--407
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Nontensorial Clenshaw--Curtis cubature   409--427


Numerical Algorithms
Volume 50, Number 1, January, 2009

                       Li Zhang   Two modified Dai--Yuan nonlinear
                                  conjugate gradient methods . . . . . . . 1--16
                  Liang Bao and   
                  Yiqin Lin and   
                      Yimin Wei   Restarted generalized Krylov subspace
                                  methods for solving large-scale
                                  polynomial eigenvalue problems . . . . . 17--32
                Brian D. Sutton   Computing the complete CS decomposition  33--65
                 E. H. Doha and   
               A. H. Bhrawy and   
             W. M. Abd-Elhameed   Jacobi spectral Galerkin method for
                                  elliptic Neumann problems  . . . . . . . 67--91
                Walter Gautschi   On conjectured inequalities for zeros of
                                  Jacobi polynomials . . . . . . . . . . . 93--96

Numerical Algorithms
Volume 50, Number 2, February, 2009

                     Achiya Dax   A hybrid algorithm for solving linear
                                  inequalities in a least squares sense    97--114
         Giovanna Pittaluga and   
               Laura Sacripante   An algorithm for solving Fredholm
                                  integro-differential equations . . . . . 115--126
              Zhuo-hua Peng and   
                   Jin-wang Liu   The generalized bisymmetric solutions of
                                  the matrix equation $ A_1 X_1 B_1 + A_2
                                  X_2 B_2 + \cdots + A_\ell X_\ell B_\ell
                                  = C $ and its optimal approximation  . . 127--144
             J. M. Carnicer and   
                C. Godés   Classification of sets satisfying the
                                  geometric characterization . . . . . . . 145--154
       Christos Kravvaritis and   
              Marilena Mitrouli   Compound matrices: properties, numerical
                                  issues and analytical computations . . . 155--177
                  F. Fauvet and   
            F. Richard-Jung and   
                     J. Thomann   Automatic computation of Stokes matrices 179--213
           Andreas Karageorghis   Efficient MFS algorithms in regular
                                  polygonal domains  . . . . . . . . . . . 215--240

Numerical Algorithms
Volume 50, Number 3, March, 2009

                Ira Neitzel and   
           Uwe Prüfert and   
                  Thomas Slawig   Strategies for time-dependent PDE
                                  control with inequality constraints
                                  using an integrated modeling and
                                  simulation environment . . . . . . . . . 241--269
                    Wang Haijun   New third-order method for solving
                                  systems of nonlinear equations . . . . . 271--282
             Torsten Linß   Analysis of a FEM for a coupled system
                                  of singularly perturbed
                                  reaction-diffusion equations . . . . . . 283--291
                Walter Gautschi   New conjectured inequalities for zeros
                                  of Jacobi polynomials  . . . . . . . . . 293--296
                O. Axelsson and   
             J. Karátson   Equivalent operator preconditioning for
                                  elliptic problems  . . . . . . . . . . . 297--380

Numerical Algorithms
Volume 50, Number 4, April, 2009

                  Minho Kim and   
               Jörg Peters   Fast and stable evaluation of
                                  box-splines via the BB-form  . . . . . . 381--399
        Marek J. \'Smieta\'nski   Convergence of a generalized Newton and
                                  an inexact generalized Newton algorithms
                                  for solving nonlinear equations with
                                  nondifferentiable terms  . . . . . . . . 401--415
              Mehdi Dehghan and   
                Fatemeh Shakeri   Method of lines solutions of the
                                  parabolic inverse problem with an
                                  overspecification at a point . . . . . . 417--437
              Mamadou Mboup and   
         Cédric Join and   
                  Michel Fliess   Numerical differentiation with
                                  annihilators in noisy environment  . . . 439--467
                  M. Ganesh and   
                  S. C. Hawkins   A high-order algorithm for multiple
                                  electromagnetic scattering in three
                                  dimensions . . . . . . . . . . . . . . . 469--510


Numerical Algorithms
Volume 51, Number 1, May, 2009

          Gérard Meurant   Gene H. Golub 1932--2007 . . . . . . . . 1--4
              A. Amiraslani and   
                   P. Lancaster   Rayleigh quotient algorithms for
                                  nonsymmetric matrix pencils  . . . . . . 5--22
              Dario A. Bini and   
                 Beatrice Meini   The cyclic reduction algorithm: from
                                  Poisson equation to stochastic processes
                                  and beyond . . . . . . . . . . . . . . . 23--60
               C. Brezinski and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for the regularization
                                  of least squares problems  . . . . . . . 61--76
              J. C. Butcher and   
                   L. L. Hewitt   The existence of symplectic general
                                  linear methods . . . . . . . . . . . . . 77--84
                    M. Chau and   
                  C. Tauber and   
                     P. Spiteri   Parallel Schwarz alternating methods for
                                  anisotropic diffusion of speckled
                                  medical images . . . . . . . . . . . . . 85--114
                  O. Dubois and   
                      S. H. Lui   Convergence estimates for an optimized
                                  Schwarz method for PDEs with
                                  discontinuous coefficients . . . . . . . 115--131

Numerical Algorithms
Volume 51, Number 2, June, 2009

                   V. Faber and   
                  J. Liesen and   
                P. Tichý   On orthogonal reduction to Hessenberg
                                  form with small bandwidth  . . . . . . . 133--142
                Walter Gautschi   High-order generalized Gauss--Radau and
                                  Gauss--Lobatto formulae for Jacobi and
                                  Laguerre weight functions  . . . . . . . 143--149
                  L. Giraud and   
                      A. Haidar   Parallel algebraic hybrid solvers for
                                  large $3$D convection-diffusion problems 151--177
             Mariya Ishteva and   
        Lieven De Lathauwer and   
                P.-A. Absil and   
              Sabine Van Huffel   Differential-geometric Newton method for
                                  the best rank-$({R}_1, {R}_2, {R}_3)$
                                  approximation of tensors . . . . . . . . 179--194
                  K. Jbilou and   
                 L. Reichel and   
                       H. Sadok   Vector extrapolation enhanced TSVD for
                                  linear discrete ill-posed problems . . . 195--208
            Daniel Kressner and   
    Christian Schröder and   
               David S. Watkins   Implicit QR algorithms for palindromic
                                  and even eigenvalue problems . . . . . . 209--238
               James V. Lambers   Krylov subspace spectral methods for the
                                  time-dependent Schrödinger equation with
                                  non-smooth potentials  . . . . . . . . . 239--280

Numerical Algorithms
Volume 51, Number 3, July, 2009

             Shev MacNamara and   
                  Kevin Burrage   Krylov and steady-state techniques for
                                  the solution of the chemical master
                                  equation for the mitogen-activated
                                  protein kinase cascade . . . . . . . . . 281--307
          Gérard Meurant   Estimates of the trace of the inverse of
                                  a symmetric matrix using the modified
                                  Chebyshev algorithm  . . . . . . . . . . 309--318
        Katharine M. Mullen and   
          Ivo H. M. van Stokkum   The variable projection algorithm in
                                  time-resolved spectroscopy, microscopy
                                  and mass spectrometry applications . . . 319--340
                 L. Reichel and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for large-scale
                                  ill-posed problems . . . . . . . . . . . 341--361
                 Zdenek Strakos   Model reduction using the Vorobyev
                                  moment problem . . . . . . . . . . . . . 363--379
              Liangmin Zhou and   
                 Lijing Lin and   
                  Yimin Wei and   
                  Sanzheng Qiao   Perturbation analysis and condition
                                  numbers of scaled total least squares
                                  problems . . . . . . . . . . . . . . . . 381--399

Numerical Algorithms
Volume 51, Number 4, August, 2009

          Marie-Laurence Mazure   A few remarks on recurrence relations
                                  for geometrically continuous piecewise
                                  Chebyshevian B-splines . . . . . . . . . 401--428
         André Draux and   
             Borhane Moalla and   
                  Mohamed Sadik   Generalized $ q d $ algorithm and
                                  Markov--Bernstein inequalities for
                                  Jacobi weight  . . . . . . . . . . . . . 429--447
         Mikhail V. Bulatov and   
            Guido Vanden Berghe   Two-step fourth order methods for linear
                                  ODEs of the second order . . . . . . . . 449--460
            Sarpono Dimulyo and   
             Zulfiqar Habib and   
                   Manabu Sakai   Fair cubic transition between two
                                  circles with one circle inside or
                                  tangent to the other . . . . . . . . . . 461--476
Marina Delgado-Téllez and   
                  Alberto Ibort   A numerical algorithm for singular
                                  optimal LQ control systems . . . . . . . 477--500


Numerical Algorithms
Volume 52, Number 1, September, 2009

           Bernard Bialecki and   
         Graeme Fairweather and   
           David B. Knudson and   
            D. Abram Lipman and   
              Que N. Nguyen and   
                 Weiwei Sun and   
            Gadalia M. Weinberg   Matrix decomposition algorithms for the
                                  finite element Galerkin method with
                                  piecewise Hermite cubics . . . . . . . . 1--23
           D. K. R. Babajee and   
                   M. Z. Dauhoo   Spectral analysis of the errors of some
                                  families of multi-step Newton-like
                                  methods  . . . . . . . . . . . . . . . . 25--46
           Adhemar Bultheel and   
      Maria-José Cantero   A matricial computation of rational
                                  quadrature formulas on the unit circle   47--68
             William McLean and   
                Kassem Mustapha   Convergence analysis of a discontinuous
                                  Galerkin method for a sub-diffusion
                                  equation . . . . . . . . . . . . . . . . 69--88
                 Bai-Ni Guo and   
                        Feng Qi   A simple proof of logarithmic convexity
                                  of extended mean values  . . . . . . . . 89--92
          Marie-Laurence Mazure   Bernstein-type operators in Chebyshev
                                  spaces . . . . . . . . . . . . . . . . . 93--128

Numerical Algorithms
Volume 52, Number 2, October, 2009

            L. Bayón and   
                 J. M. Grau and   
                 M. M. Ruiz and   
            P. M. Suárez   An application of the algorithm of the
                                  cyclic coordinate descent in
                                  multidimensional optimization problems
                                  with constrained speed . . . . . . . . . 129--149
                   E. Ahusborde   Legendre spectral methods for the
                                  grad-(div) operator with free boundary
                                  conditions . . . . . . . . . . . . . . . 151--171
               Yingzhen Lin and   
                  Yongfang Zhou   Solving nonlinear pseudoparabolic
                                  equations with nonlocal boundary
                                  conditions in reproducing kernel space   173--186
                   M. Dosso and   
                     M. Sadkane   A spectral trichotomy method for
                                  symplectic matrices  . . . . . . . . . . 187--212
              Yasuyo Hatano and   
            Ichizo Ninomiya and   
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Numerical evaluation of Goursat's
                                  infinite integral  . . . . . . . . . . . 213--224
                H. Mansouri and   
                        C. Roos   A new full-Newton step $O(n)$ infeasible
                                  interior-point algorithm for
                                  semidefinite optimization  . . . . . . . 225--255
         Ioannis K. Argyros and   
                    Hongmin Ren   On an improved local convergence
                                  analysis for the Secant method . . . . . 257--271

Numerical Algorithms
Volume 52, Number 3, November, 2009

            R. Cruz-Barroso and   
    P. González-Vera and   
          F. Perdomo-Pío   An application of Szeg\Ho polynomials to
                                  the computation of certain weighted
                                  integrals on the real line . . . . . . . 273--293
             Ioannis K. Argyros   On Ulm's method using divided
                                  differences of order one . . . . . . . . 295--320
             Livinus U. Uko and   
             Ioannis K. Argyros   Generalized equations, variational
                                  inequalities and a weak Kantorovich
                                  theorem  . . . . . . . . . . . . . . . . 321--333
                    Frank Uhlig   Geometric computation of the numerical
                                  radius of a matrix . . . . . . . . . . . 335--353
               Daniel Potts and   
        Jürgen Prestin and   
                 Antje Vollrath   A fast algorithm for nonequispaced
                                  Fourier transforms on the rotation group 355--384
                 Irem Yaman and   
                 Metin Demiralp   A new rational approximation technique
                                  based on transformational high
                                  dimensional model representation . . . . 385--407
                Walter Gautschi   Variable-precision recurrence
                                  coefficients for nonstandard orthogonal
                                  polynomials  . . . . . . . . . . . . . . 409--418
              Huang Zhengda and   
                     Ma Guochun   On the local convergence of a family of
                                  Euler--Halley type iterations with a
                                  parameter  . . . . . . . . . . . . . . . 419--433
                Burcu Tunga and   
                 Metin Demiralp   Constancy maximization based weight
                                  optimization in high dimensional model
                                  representation . . . . . . . . . . . . . 435--459
              Mehdi Dehghan and   
                     Ali Shokri   A meshless method for numerical solution
                                  of the one-dimensional wave equation
                                  with an integral condition using radial
                                  basis functions  . . . . . . . . . . . . 461--477
María D. González-Lima and   
             Flor Montes de Oca   A Newton-like method for nonlinear
                                  system of equations  . . . . . . . . . . 479--506
             G. Mastroianni and   
                    G. Monegato   Some new applications of truncated
                                  Gauss--Laguerre quadrature formulas  . . 507--507

Numerical Algorithms
Volume 52, Number 4, December, 2009

          I. G. Amiraliyeva and   
               G. M. Amiraliyev   Uniform difference method for
                                  parameterized singularly perturbed delay
                                  differential equations . . . . . . . . . 509--521
              Mehdi Dehghan and   
              Akbar Mohebbi and   
                  Zohreh Asgari   Fourth-order compact solution of the
                                  nonlinear Klein--Gordon equation . . . . 523--540
               F. Ghoreishi and   
                   M. Hadizadeh   Numerical computation of the Tau
                                  approximation for the
                                  Volterra--Hammerstein integral equations 541--559
                    W. K. Zahra   Exponential spline solutions for a class
                                  of two point boundary value problems
                                  over a semi-infinite range . . . . . . . 561--573
                    I. D. Coope   On calculating generalized Cayley
                                  transforms of bounded norm . . . . . . . 575--583
                Hongmin Ren and   
                Qingbiao Wu and   
                     Weihong Bi   New variants of Jarratt's method with
                                  sixth-order convergence  . . . . . . . . 585--603
              Dimitri Breda and   
              Stefano Maset and   
              Rossana Vermiglio   An adaptive algorithm for efficient
                                  computation of level curves of surfaces  605--628
   Diana Estévez Schwarz   Consistent initialization for DAEs in
                                  Hessenberg form  . . . . . . . . . . . . 629--648
               Beong In Yun and   
          Miodrag S. Petkovi\'c   Iterative methods based on the signum
                                  function approach for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 649--662
        Gabil M. Amiraliyev and   
                  Fevzi Erdogan   A finite difference scheme for a class
                                  of singularly perturbed initial value
                                  problems for delay differential
                                  equations  . . . . . . . . . . . . . . . 663--675
           Pawe\l Przyby\lowicz   Linear information for approximation of
                                  the Itô integrals . . . . . . . . . . . . 677--699
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   On the convergence of Newton-type
                                  methods under mild differentiability
                                  conditions . . . . . . . . . . . . . . . 701--726


Numerical Algorithms
Volume 53, Number 1, January, 2010

                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Noise-reducing cascadic multilevel
                                  methods for linear discrete ill-posed
                                  problems . . . . . . . . . . . . . . . . 1--22
            Marina Andretta and   
          Ernesto G. Birgin and   
          J. M. Martínez   Partial spectral projected gradient
                                  method with active-set strategy for
                                  linearly constrained optimization  . . . 23--52
          Danny C. Sorensen and   
               Roland Glowinski   A quadratically constrained minimization
                                  problem arising from PDE of
                                  Monge--Amp\`ere type . . . . . . . . . . 53--66
               Joachim Dahl and   
       Per Christian Hansen and   
  Sòren Holdt Jensen and   
 Tobias Lindstròm Jensen   Algorithms and software for total
                                  variation image reconstruction via
                                  first-order methods  . . . . . . . . . . 67--92
       Pavel Jiránek and   
      Miroslav Rozlozník   Adaptive version of Simpler GMRES  . . . 93--112
               Wanyou Cheng and   
                    Qunfeng Liu   Sufficient descent nonlinear conjugate
                                  gradient methods with conjugacy
                                  condition  . . . . . . . . . . . . . . . 113--131
            Awad H. Al-Mohy and   
             Nicholas J. Higham   The complex step approximation to the
                                  Fréchet derivative of a matrix function   133--148

Numerical Algorithms
Volume 53, Number 2--3, March, 2010

            John C. Butcher and   
       Zdzis\law Jackiewicz and   
           Helmut Podhaisky and   
            Rüdiger Weiner   Preface  . . . . . . . . . . . . . . . . 149--151
                  J. C. Butcher   Trees and numerical methods for ordinary
                                  differential equations . . . . . . . . . 153--170
          Robert P. K. Chan and   
              Angela Y. J. Tsai   On explicit two-derivative Runge--Kutta
                                  methods  . . . . . . . . . . . . . . . . 171--194
        R. DÁmbrosio and   
                   M. Ferro and   
              Z. Jackiewicz and   
                 B. Paternoster   Two-step almost collocation methods for
                                  ordinary differential equations  . . . . 195--217
              W. H. Enright and   
                     P. H. Muir   New interpolants for asymptotically
                                  correct defect control of BVODEs . . . . 219--238
              W. H. Enright and   
                         Li Yan   The reliability/cost trade-off for a
                                  class of ODE solvers . . . . . . . . . . 239--260
                  Allison Heard   Scale and modify for the second and
                                  third order BDF methods  . . . . . . . . 261--280
                     A. T. Hill   $G$-matrices for algebraically stable
                                  general linear methods . . . . . . . . . 281--292
                Oliver Kolb and   
                  Jens Lang and   
                      Pia Bales   An implicit box scheme for subsonic
                                  compressible flow with dissipative
                                  source term  . . . . . . . . . . . . . . 293--307
Mihály Kovács and   
               Stig Larsson and   
               Fredrik Lindgren   Strong convergence of the finite element
                                  method with truncated noise for
                                  semilinear parabolic stochastic
                                  equations with additive noise  . . . . . 309--320
            Gennady Yu. Kulikov   Local theory of extrapolation methods    321--342
        Robert I. McLachlan and   
             Dion R. J. O'Neale   Preservation and destruction of periodic
                                  orbits by symplectic integrators . . . . 343--362
        Bernhard A. Schmitt and   
            Rüdiger Weiner   Parallel start for explicit parallel
                                  two-step peer methods  . . . . . . . . . 363--381
                   J. H. Verner   Numerically optimal Runge--Kutta pairs
                                  with interpolants  . . . . . . . . . . . 383--396
        Hossein ZivariPiran and   
               Wayne H. Enright   An efficient unified approach for the
                                  numerical solution of delay differential
                                  equations  . . . . . . . . . . . . . . . 397--417

Numerical Algorithms
Volume 53, Number 4, April, 2010

             Matthew M. Lin and   
                    Bo Dong and   
                   Moody T. Chu   Semi-definite programming techniques for
                                  structured quadratic inverse eigenvalue
                                  problems . . . . . . . . . . . . . . . . 419--437
                 Nazim Mahmudov   The moments for $q$-Bernstein operators
                                  in the case $0 < q < 1$  . . . . . . . . . 439--450
           Rajesh K. Pandey and   
           Om Prakash Singh and   
                Vineet K. Singh   A stable algorithm for numerical
                                  evaluation of Hankel transforms using
                                  Haar wavelets  . . . . . . . . . . . . . 451--466
Diyashvir Kreetee Rajiv Babajee and   
                   M. Z. Dauhoo   Convergence and spectral analysis of the
                                  Frontini--Sormani family of multipoint
                                  third order methods from quadrature rule 467--484
             Alicia Cordero and   
       José L. Hueso and   
    Eulalia Martínez and   
             Juan R. Torregrosa   Efficient three-step iterative methods
                                  with sixth order convergence for
                                  nonlinear equations  . . . . . . . . . . 485--495
                Zhongdi Cen and   
                        Anbo Le   A robust finite difference scheme for
                                  pricing American put options with
                                  Singularity--Separating method . . . . . 497--510
     Christina C. Christara and   
                  Tong Chen and   
                  Duy Minh Dang   Quadratic spline collocation for
                                  one-dimensional linear parabolic partial
                                  differential equations . . . . . . . . . 511--553
                 Yongyan Wu and   
                Kwok Fai Cheung   Two-parameter homotopy method for
                                  nonlinear equations  . . . . . . . . . . 555--572


Numerical Algorithms
Volume 54, Number 1, May, 2010

            Chang-Ming Chen and   
                 Fawang Liu and   
                 Ian Turner and   
                         Vo Anh   Numerical schemes and multivariate
                                  extrapolation of a two-dimensional
                                  anomalous sub-diffusion equation . . . . 1--21
                 Neculai Andrei   Accelerated hybrid conjugate gradient
                                  algorithm with modified secant condition
                                  for unconstrained optimization . . . . . 23--46
               Renhong Wang and   
                     Jiang Qian   On branched continued fractions rational
                                  interpolation over pyramid-typed grids   47--72
              Dmitriy Melkonian   Similar basis function algorithm for
                                  numerical estimation of Fourier
                                  integrals  . . . . . . . . . . . . . . . 73--100
Maria Isabel Bueno Cachadina and   
       Alfredo Deaño and   
              Edward Tavernetti   A new algorithm for computing the
                                  Geronimus transformation with large
                                  shifts . . . . . . . . . . . . . . . . . 101--139
                 Hassan Safouhi   Bessel, sine and cosine functions and
                                  extrapolation methods for computing
                                  molecular multi-center integrals . . . . 141--167

Numerical Algorithms
Volume 54, Number 2, June, 2010

  Raffaele DÁmbrosio and   
           Zdzis\law Jackiewicz   Continuous two-step Runge--Kutta methods
                                  for ordinary differential equations  . . 169--193
             Yueqiang Shang and   
                       Kun Wang   Local and parallel finite element
                                  algorithms based on two-grid
                                  discretizations for the transient Stokes
                                  equations  . . . . . . . . . . . . . . . 195--218
Aurél Galántai and   
          Csaba J. Hegedüs   A study of accelerated Newton methods
                                  for multiple polynomial roots  . . . . . 219--243
                  S. M. Goh and   
           M. S. M. Noorani and   
                      I. Hashim   On solving the chaotic Chen system: a
                                  new time marching design for the
                                  variational iteration method using
                                  Adomian's polynomial . . . . . . . . . . 245--260
           Andreas Karageorghis   Efficient Kansa-type MFS algorithm for
                                  elliptic problems  . . . . . . . . . . . 261--278
                Fu-Rong Lin and   
                  Michael K. Ng   Inverse product Toeplitz preconditioners
                                  for non-Hermitian Toeplitz systems . . . 279--295

Numerical Algorithms
Volume 54, Number 3, July, 2010

    Dimitrios Triantafyllou and   
              Marilena Mitrouli   On rank and null space computation of
                                  the generalized Sylvester matrix . . . . 297--324
                   Peng Zhu and   
                     Shuzi Zhou   Relaxation Lax--Friedrichs sweeping
                                  scheme for static Hamilton--Jacobi
                                  equations  . . . . . . . . . . . . . . . 325--342
                 Jun-Liang Dong   Shifted skew-symmetric iteration methods
                                  for nonsymmetric linear complementarity
                                  problems . . . . . . . . . . . . . . . . 343--357
          Siegfried M. Rump and   
                  Stef Graillat   Verified error bounds for multiple roots
                                  of systems of nonlinear equations  . . . 359--377
           Ranjan Kumar Mohanty   On the use of AGE algorithm with a high
                                  accuracy Numerov type variable mesh
                                  discretization for $1$D non-linear
                                  parabolic equations  . . . . . . . . . . 379--393
                   Fadi Awawdeh   On new iterative method for solving
                                  systems of nonlinear equations . . . . . 395--409
                Yonghoon Ha and   
                Keunwha Lee and   
                   Woojae Seong   Pseudospectral time-domain method for
                                  pressure-release rough surface
                                  scattering using a surface
                                  transformation and image method  . . . . 411--430

Numerical Algorithms
Volume 54, Number 4, August, 2010

          Relja Vulanovi\'c and   
              Ljiljana Teofanov   A uniform numerical method for
                                  semilinear reaction-diffusion problems
                                  with a boundary turning point  . . . . . 431--444
           Janak Raj Sharma and   
                   Rajni Sharma   A new family of modified Ostrowski's
                                  methods with accelerated eighth order
                                  convergence  . . . . . . . . . . . . . . 445--458
          Dagmar Medková   Integral representation of a solution of
                                  the Neumann problem for the Stokes
                                  system . . . . . . . . . . . . . . . . . 459--484
             Ioannis K. Argyros   On a class of secant-like methods for
                                  solving nonlinear equations  . . . . . . 485--501
  Predrag S. Stanimirovi\'c and   
         Marko B. Miladinovi\'c   Accelerated gradient descent methods
                                  with line search . . . . . . . . . . . . 503--520
           Saeid Abbasbandy and   
                    A. Shirzadi   Homotopy analysis method for multiple
                                  solutions of the fractional
                                  Sturm--Liouville problems  . . . . . . . 521--532
        Philip W. Livermore and   
                Glenn R. Ierley   Quasi-$L^p$ norm orthogonal Galerkin
                                  expansions in sums of Jacobi polynomials 533--569


Numerical Algorithms
Volume 55, Number 1, September, 2010

                Moosa Ebadi and   
                  M. Y. Gokhale   Hybrid BDF methods for the numerical
                                  solutions of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 1--17
  Amílcar Branquinho and   
                Luis Cotrim and   
     Ana Foulquié Moreno   Matrix interpretation of multiple
                                  orthogonality  . . . . . . . . . . . . . 19--37
                Jiao-Fen Li and   
                  Xi-Yan Hu and   
                      Lei Zhang   The nearness problems for symmetric
                                  centrosymmetric with a special submatrix
                                  constraint . . . . . . . . . . . . . . . 39--57
             Federico Greco and   
                 Bruno Iannazzo   A binary powering Schur algorithm for
                                  computing primary matrix roots . . . . . 59--78
                Jianling Li and   
                  Peng Wang and   
                         Lin Ma   A new algorithm for the general
                                  quadratic programming problems with box
                                  constraints  . . . . . . . . . . . . . . 79--85
             Alicia Cordero and   
       José L. Hueso and   
    Eulalia Martínez and   
             Juan R. Torregrosa   A modified Newton--Jarratt's composition 87--99
           Nguyen Minh Tuan and   
               Lan T. T. Nguyen   On solutions of a system of hereditary
                                  and self-referred partial-differential
                                  equations  . . . . . . . . . . . . . . . 101--113
                Federico Poloni   A note on the $O(n)$-storage
                                  implementation of the GKO algorithm and
                                  its adaptation to Trummer-like matrices  115--139

Numerical Algorithms
Volume 55, Number 2--3, November, 2010

            Alessandra Aimi and   
            Mauro Diligenti and   
              Chiara Guardasoni   Numerical integration schemes for
                                  space--time hypersingular integrals in
                                  energetic Galerkin BEM . . . . . . . . . 145--170
                 Martin Berzins   Nonlinear data-bounded polynomial
                                  approximations and their applications in
                                  ENO methods  . . . . . . . . . . . . . . 171--189
     Isabel Cação   Complete orthonormal sets of polynomial
                                  solutions of the Riesz and
                                  Moisil--Teodorescu systems in $R^3$  . . 191--203
   Maria Rosaria Capobianco and   
         Giuliana Criscuolo and   
                Peter Junghanns   Newton methods for a class of nonlinear
                                  hypersingular integral equations . . . . 205--221
              Jesus M. Carnicer   Weighted interpolation for equidistant
                                  nodes  . . . . . . . . . . . . . . . . . 223--232
                 Annie Cuyt and   
                  Xianglan Yang   A practical error formula for
                                  multivariate rational interpolation and
                                  approximation  . . . . . . . . . . . . . 233--243
         Antonia M. Delgado and   
     Lidia Fernández and   
     Teresa E. Pérez and   
     Miguel A. Piñar and   
                        Yuan Xu   Orthogonal polynomials in several
                                  variables for measures with mass points  245--264
                Walter Gautschi   Gauss quadrature routines for two
                                  classes of logarithmic weight functions  265--277
                 Huiyuan Li and   
               Jiachang Sun and   
                        Yuan Xu   Discrete Fourier analysis with lattices
                                  on planar domains  . . . . . . . . . . . 279--300
          Pedro Miguel Lima and   
        M. Filomena Teodoro and   
            Neville J. Ford and   
               Patricia M. Lumb   Finite element solution of a linear
                                  mixed-type functional differential
                                  equation . . . . . . . . . . . . . . . . 301--320
                Giorgio Mantica   Dynamical systems and numerical
                                  analysis: the study of measures
                                  generated by uncountable I.F.S.  . . . . 321--335
    M. Luísa Morgado and   
              Pedro Miguel Lima   Finite difference solution of a singular
                                  boundary value problem for the
                                  $p$-Laplace operator . . . . . . . . . . 337--348
          Richard Pasquetti and   
              Francesca Rapetti   Spectral element methods on unstructured
                                  meshes: which interpolation points?  . . 349--366
                   Gert Tamberg   On truncation errors of some generalized
                                  Shannon sampling operators . . . . . . . 367--382
             Marc Van Barel and   
               Andrey Chesnokov   A method to compute recurrence relation
                                  coefficients for bivariate orthogonal
                                  polynomials by unitary matrix
                                  transformations  . . . . . . . . . . . . 383--402

Numerical Algorithms
Volume 55, Number 4, December, 2010

           Jalil Rashidinia and   
                 M. Ghasemi and   
                    R. Jalilian   An $O(h^6)$ numerical solution of
                                  general nonlinear fifth-order two point
                                  boundary value problems  . . . . . . . . 403--428
               A. Valinejad and   
           S. Mohammad Hosseini   A variable step-size control algorithm
                                  for the weak approximation of stochastic
                                  differential equations . . . . . . . . . 429--446
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A Kantorovich-type convergence analysis
                                  of the Newton--Josephy method for
                                  solving variational inequalities . . . . 447--466
        Angelamaria Cardone and   
            Liviu Gr. Ixaru and   
           Beatrice Paternoster   Exponential fitting Direct Quadrature
                                  methods for Volterra integral equations  467--480
            Sandra Buhmiler and   
            Natasa Kreji\'c and   
                 Zorana Luzanin   Practical Quasi--Newton algorithms for
                                  singular nonlinear systems . . . . . . . 481--502
            Antonio Aric\`o and   
             Giuseppe Rodriguez   A fast solver for linear systems with
                                  displacement structure . . . . . . . . . 529--556


Numerical Algorithms
Volume 56, Number 1, January, 2011

          Marie-Laurence Mazure   Dimension elevation for Chebyshevian
                                  splines  . . . . . . . . . . . . . . . . 1--16
              Cristinel Mortici   A new Stirling series as continued
                                  fraction . . . . . . . . . . . . . . . . 17--26
           Saeid Abbasbandy and   
                   E. Shivanian   A new analytical technique to solve
                                  Fredholm's integral equations  . . . . . 27--43
              Marco Caliari and   
          Stefano De Marchi and   
           Alvise Sommariva and   
                 Marco Vianello   Padua2DM: fast interpolation and
                                  cubature at the Padua points in
                                  Matlab/Octave  . . . . . . . . . . . . . 45--60
            Gernot Pulverer and   
      Gustaf Söderlind and   
            Ewa Weinmüller   Automatic grid control in adaptive BVP
                                  solvers  . . . . . . . . . . . . . . . . 61--92
              Songxin Liang and   
               David J. Jeffrey   An analytical approach for solving
                                  nonlinear boundary value problems in
                                  finite domains . . . . . . . . . . . . . 93--106
             Carlo de Falco and   
               Eugene O'Riordan   A parameter robust Petrov--Galerkin
                                  scheme for advection-diffusion-reaction
                                  equations  . . . . . . . . . . . . . . . 107--127
           Jalil Rashidinia and   
                 Reza Mohammadi   Tension spline solution of nonlinear
                                  sine-Gordon equation . . . . . . . . . . 129--142
               Jean-Paul Berrut   A formula for the error of finite sinc
                                  interpolation with an even number of
                                  nodes  . . . . . . . . . . . . . . . . . 143--157

Numerical Algorithms
Volume 56, Number 2, February, 2011

            Kassem Mustapha and   
                 William McLean   Piecewise-linear, discontinuous Galerkin
                                  method for a fractional diffusion
                                  equation . . . . . . . . . . . . . . . . 159--184
              Stefan Paszkowski   Untypical methods of convergence
                                  acceleration . . . . . . . . . . . . . . 185--209
                 Majid Khan and   
                 Mazhar Hussain   Application of Laplace decomposition
                                  method on semi-infinite domain . . . . . 211--218
Dominique Béréziat and   
                Isabelle Herlin   Solving ill-posed image processing
                                  problems using data assimilation . . . . 219--252
           Bernard Bialecki and   
         Graeme Fairweather and   
           Andreas Karageorghis   Matrix decomposition algorithms for
                                  elliptic boundary value problems: a
                                  survey . . . . . . . . . . . . . . . . . 253--295
              Zhong-Zhi Bai and   
              Michele Benzi and   
                      Fang Chen   On preconditioned MHSS iteration methods
                                  for complex symmetric linear systems . . 297--317

Numerical Algorithms
Volume 56, Number 3, March, 2011

            John C. Butcher and   
          Robert M. Corless and   
     Laureano Gonzalez-Vega and   
                  Azar Shakoori   Polynomial algebra for Birkhoff
                                  interpolants . . . . . . . . . . . . . . 319--347
                 Guozhu Yao and   
                Anping Liao and   
                   Xuefeng Duan   Positive definite solution of the matrix
                                  equation $X = Q + A^H (I \otimes X -
                                  C)^\delta A$ . . . . . . . . . . . . . . 349--361
            Katsuhisa Ozaki and   
              Takeshi Ogita and   
          Shiníchi Oishi   An algorithm for automatically selecting
                                  a suitable verification method for
                                  linear systems . . . . . . . . . . . . . 363--382
                Shujun Shen and   
                 Fawang Liu and   
                         Vo Anh   Numerical approximations and solution
                                  techniques for the space--time
                                  Riesz--Caputo fractional
                                  advection-diffusion equation . . . . . . 383--403
          Giovanni Monegato and   
            Letizia Scuderi and   
             Marija P. Stani\'c   Lubich convolution quadratures and their
                                  application to problems described by
                                  space--time BIEs . . . . . . . . . . . . 405--436
             Chafik Allouch and   
         Paul Sablonni\`ere and   
                   Driss Sbibih   Solving Fredholm integral equations by
                                  approximating kernels by spline
                                  quasi-interpolants . . . . . . . . . . . 437--453
             Roger B. Sidje and   
                    Yousef Saad   Rational approximation to the
                                  Fermi--Dirac function with applications
                                  in density functional theory . . . . . . 455--479

Numerical Algorithms
Volume 56, Number 4, April, 2011

           Kumar Dookhitram and   
         Ravindra Boojhawon and   
              Ashvin Gopaul and   
                 Muddun Bhuruth   A-posteriori residual bounds for
                                  Arnoldi's methods for nonsymmetric
                                  eigenvalue problems  . . . . . . . . . . 481--495
                Xiuhua Wang and   
               Chuanqing Gu and   
                    Jisheng Kou   Semilocal convergence of a multipoint
                                  fourth-order super-Halley method in
                                  Banach spaces  . . . . . . . . . . . . . 497--516
                    S. Chen and   
                     F. Liu and   
                         V. Anh   A novel implicit finite difference
                                  method for the one-dimensional
                                  fractional percolation equation  . . . . 517--535
                    Chao Gu and   
                     Detong Zhu   A non-monotone line search
                                  multidimensional filter-SQP method for
                                  general nonlinear programming  . . . . . 537--559
             Xiangcheng You and   
                        Hang Xu   Analytical approximations for the
                                  periodic motion of the Duffing system
                                  with delayed feedback  . . . . . . . . . 561--576
                Xiaolin Luo and   
            Pavel V. Shevchenko   A short tale of long tail integration    577--590
        Guido Vanden Berghe and   
               Marnix Van Daele   Symplectic exponentially-fitted
                                  four-stage Runge--Kutta methods of the
                                  Gauss type . . . . . . . . . . . . . . . 591--608


Numerical Algorithms
Volume 57, Number 1, May, 2011

                Zhenjun Shi and   
                 Shengquan Wang   Modified nonmonotone Armijo line search
                                  for descent method . . . . . . . . . . . 1--25
                Walter Gautschi   The Lambert $W$-functions and some of
                                  their integrals: a case study of
                                  high-precision computation . . . . . . . 27--34
               Yunong Zhang and   
                   Lin Xiao and   
               Gongqin Ruan and   
                        Zhan Li   Continuous and discrete time Zhang
                                  dynamics for time-varying $4$th root
                                  finding  . . . . . . . . . . . . . . . . 35--51
              Siamak Mehrkanoon   A direct variable step block multistep
                                  method for solving general third-order
                                  ODEs . . . . . . . . . . . . . . . . . . 53--66
          Richard Baltensperger   Barycentric rational interpolation with
                                  asymptotically monitored poles . . . . . 67--81
                    Li-Li Zhang   Two-step modulus-based matrix splitting
                                  iteration method for linear
                                  complementarity problems . . . . . . . . 83--99
              Amir Haghighi and   
           S. Mohammad Hosseini   On the stability of some second order
                                  numerical methods for weak approximation
                                  of Itô SDEs . . . . . . . . . . . . . . . 101--124
             Parviz Darania and   
         Jafar Ahmadi Shali and   
                     Karim Ivaz   New computational method for solving
                                  some $2$-dimensional nonlinear Volterra
                                  integro-differential equations . . . . . 125--147

Numerical Algorithms
Volume 57, Number 2, June, 2011

                   Ali Abdi and   
             Gholamreza Hojjati   An extension of general linear methods   149--167
              Marilena Mitrouli   A sign test for detecting the
                                  equivalence of Sylvester Hadamard
                                  matrices . . . . . . . . . . . . . . . . 169--186
              Sohail Nadeem and   
              Shehla Zaheer and   
                   Tiegang Fang   Effects of thermal radiation on the
                                  boundary layer flow of a Jeffrey fluid
                                  over an exponentially stretching surface 187--205
                 Xiangli Li and   
                Hongwei Liu and   
                    Xiaojun Sun   Feasible smooth method based on
                                  Barzilai--Borwein method for stochastic
                                  linear complementarity problem . . . . . 207--215
           Andreas Potschka and   
               Filip Logist and   
            Jan F. Van Impe and   
                Hans Georg Bock   Tracing the Pareto frontier in
                                  bi-objective optimization problems by
                                  ODE techniques . . . . . . . . . . . . . 217--233
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   On the solution of systems of equations
                                  with constant rank derivatives . . . . . 235--253
      Johnathan M. Bardsley and   
                    John Goldes   Regularization parameter selection and
                                  an efficient algorithm for total
                                  variation-regularized positron emission
                                  tomography . . . . . . . . . . . . . . . 255--271
             Guo-Feng Zhang and   
                 Zhi-Ru Ren and   
                 Yuan-Yuan Zhou   On HSS-based constraint preconditioners
                                  for generalized saddle-point problems    273--287

Numerical Algorithms
Volume 57, Number 3, July, 2011

            Stefania Tomasiello   Numerical stability of DQ solutions of
                                  wave problems  . . . . . . . . . . . . . 289--312
        Jukka T. Kemppainen and   
       Keijo Matti Ruotsalainen   On the spline collocation method for the
                                  single layer equation related to
                                  time-fractional diffusion  . . . . . . . 313--327
João Ribeiro Cardoso and   
                Ana F. Loureiro   Iteration functions for $p$th roots of
                                  complex numbers  . . . . . . . . . . . . 329--356
              Vasile Dragan and   
                 Ivan G. Ivanov   Computation of the stabilizing solution
                                  of game theoretic Riccati equation
                                  arising in stochastic $H^\infty$ control
                                  problems . . . . . . . . . . . . . . . . 357--375
            Fazlollah Soleymani   Revisit of Jarratt method for solving
                                  nonlinear equations  . . . . . . . . . . 377--388
                  Xiaowu Li and   
                 Chunlai Mu and   
                  Jinwen Ma and   
                      Linke Hou   Fifth-order iterative method for finding
                                  multiple roots of nonlinear equations    389--398
               Alan Beardon and   
               Kathy Driver and   
                Kerstin Jordaan   Zeros of polynomials embedded in an
                                  orthogonal sequence  . . . . . . . . . . 399--403
   Juan Ruiz Álvarez and   
                 Jinru Chen and   
                      Zhilin Li   The IIM in polar coordinates and its
                                  application to electro capacitance
                                  tomography problems  . . . . . . . . . . 405--423

Numerical Algorithms
Volume 57, Number 4, August, 2011

              Emine Misirli and   
                   Yusuf Gurefe   Multiplicative Adams Bashforth--Moulton
                                  methods  . . . . . . . . . . . . . . . . 425--439
                Xiuhua Wang and   
                Jisheng Kou and   
                   Chuanqing Gu   Semilocal convergence of a sixth-order
                                  Jarratt method in Banach spaces  . . . . 441--456
           Roberto Andreani and   
   Joaquim J. Júdice and   
José Mario Martínez and   
           Joao Patrício   A projected-gradient interior-point
                                  algorithm for complementarity problems   457--485
Abdullo Rakhmonovich Hayotov and   
  Gradimir V. Milovanovi\'c and   
Kholmat Mahkambaevich Shadimetov   On an optimal quadrature formula in the
                                  sense of Sard  . . . . . . . . . . . . . 487--510
                Walter Gautschi   Remark on ``New conjectured inequalities
                                  for zeros of Jacobi polynomials'' by
                                  Walter Gautschi, Numer. Algorithms
                                  50:293--296 (2009) . . . . . . . . . . . 511--511
                Lidia Aceto and   
          Cecilia Magherini and   
                 Marco Marletta   Shooting methods for a PT-symmetric
                                  periodic eigenvalue problem  . . . . . . 513--536
              Guoqiang Wang and   
                     Detong Zhu   A unified kernel function approach to
                                  primal-dual interior-point algorithms
                                  for convex quadratic SDO . . . . . . . . 537--558


Numerical Algorithms
Volume 58, Number 1, September, 2011

           Hoa Thang Nguyen and   
                 Annie Cuyt and   
           Oliver Salazar Celis   Comonotone and coconvex rational
                                  interpolation and approximation  . . . . 1--21
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Extending the applicability of the
                                  Gauss--Newton method under average
                                  Lipschitz-type conditions  . . . . . . . 23--52
                 Da-Yan Liu and   
             Olivier Gibaru and   
            Wilfrid Perruquetti   Error analysis of Jacobi derivative
                                  estimators for noisy signals . . . . . . 53--83
             Davood Rostamy and   
                      K. Karimi   Hypercomplex mathematics and HPM for the
                                  time-delayed Burgers equation with
                                  convergence analysis . . . . . . . . . . 85--101
          Kaushik Mukherjee and   
             Srinivasan Natesan   $\epsilon$-Uniform error estimate of
                                  hybrid numerical scheme for singularly
                                  perturbed parabolic problems with
                                  interior layers  . . . . . . . . . . . . 103--141

Numerical Algorithms
Volume 58, Number 2, October, 2011

                Haixiong Yu and   
                   Jinping Zeng   A cascadic multigrid method for a kind
                                  of semilinear elliptic problem . . . . . 143--162
            Yonina C. Eldar and   
                 Deanna Needell   Acceleration of randomized Kaczmarz
                                  method via the Johnson--Lindenstrauss
                                  Lemma  . . . . . . . . . . . . . . . . . 163--177
      Miodrag S. Petkovi\'c and   
      Mimica R. Milosevi\'c and   
           Dusan M. Milosevi\'c   New higher-order methods for the
                                  simultaneous inclusion of polynomial
                                  zeros  . . . . . . . . . . . . . . . . . 179--201
             Joaquin Moreno and   
                        A. Saiz   Inverse functions of polynomials and its
                                  applications to initialize the search of
                                  solutions of polynomials and polynomial
                                  systems  . . . . . . . . . . . . . . . . 203--233
                   Talal Rahman   Schwarz preconditioned CG algorithm for
                                  the mortar finite element  . . . . . . . 235--260
         René Lamour and   
                  Dagmar Monett   A new algorithm for index determination
                                  in DAEs using algorithmic
                                  differentiation  . . . . . . . . . . . . 261--292

Numerical Algorithms
Volume 58, Number 3, November, 2011

                 Y. H. Qian and   
                  S. K. Lai and   
                   W. Zhang and   
                       Y. Xiang   Study on asymptotic analytical solutions
                                  using HAM for strongly nonlinear
                                  vibrations of a restrained cantilever
                                  beam with an intermediate lumped mass    293--314
        Saman Babaie-Kafaki and   
              Masoud Fatemi and   
            Nezam Mahdavi-Amiri   Two effective hybrid conjugate gradient
                                  algorithms based on modified BFGS
                                  updates  . . . . . . . . . . . . . . . . 315--331
                    Zhe Sun and   
               Jinping Zeng and   
                      Hongru Xu   Generalized Newton-iterative method for
                                  semismooth equations . . . . . . . . . . 333--349
           Alexandru Mihai Bica   The numerical method of successive
                                  interpolations for Fredholm functional
                                  integral equations . . . . . . . . . . . 351--377
                Pham Ky Anh and   
                  Cao Van Chung   Parallel regularized Newton method for
                                  nonlinear ill-posed equations  . . . . . 379--398
          Marie-Laurence Mazure   On a general new class of quasi
                                  Chebyshevian splines . . . . . . . . . . 399--438
      Celina Pestano-Gabino and   
Concepción González-Concepción and   
María Candelaria Gil-Fariña   A note on the initial identification of
                                  scalar component models  . . . . . . . . 439--449

Numerical Algorithms
Volume 58, Number 4, December, 2011

            Daniel J. Bates and   
     Jonathan D. Hauenstein and   
              Andrew J. Sommese   Efficient path tracking methods  . . . . 451--459
                    Qunfeng Liu   Two minimal positive bases based direct
                                  search conjugate gradient methods for
                                  computationally expensive functions  . . 461--474
             Payam Mokhtary and   
              Farideh Ghoreishi   The $L^2$-convergence of the Legendre
                                  spectral Tau matrix formulation for
                                  nonlinear fractional integro
                                  differential equations . . . . . . . . . 475--496
                 Weihong Bi and   
                Hongmin Ren and   
                    Qingbiao Wu   Convergence of the modified Halley's
                                  method for multiple zeros under Hölder
                                  continuous derivative  . . . . . . . . . 497--512
          Parviz Sargolzaei and   
            Fazlollah Soleymani   Accurate fourteenth-order methods for
                                  solving nonlinear equations  . . . . . . 513--527
  Björn S. Rüffer and   
                Fabian R. Wirth   Stability verification for monotone
                                  systems using homotopy algorithms  . . . 529--543
                  Pan Cheng and   
                      Jin Huang   Extrapolation algorithms for solving
                                  nonlinear boundary integral equations by
                                  mechanical quadrature methods  . . . . . 545--554
                Hongmin Ren and   
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A derivative free iterative method for
                                  solving least squares problems . . . . . 555--571
              Jianguang Zhu and   
                Hongwei Liu and   
                Changhe Liu and   
                    Weijie Cong   A nonmonotone derivative-free algorithm
                                  for nonlinear complementarity problems
                                  based on the new generalized penalized
                                  Fischer--Burmeister merit function . . . 573--591
                Hongwei Liu and   
                Yakui Huang and   
                     Xiangli Li   Partial projected Newton method for a
                                  class of stochastic linear
                                  complementarity problems . . . . . . . . 593--618


Numerical Algorithms
Volume 59, Number 1, January, 2012

               Sanja Singer and   
                Sasa Singer and   
         Vedran Novakovi\'c and   
    Aleksandar Us\'cumli\'c and   
                  Vedran Dunjko   Novel modifications of parallel Jacobi
                                  algorithms . . . . . . . . . . . . . . . 1--27
                    Wei Gao and   
                    Hong Li and   
                   Yang Liu and   
                  Yong-Jun Jian   An oscillation-free high order
                                  TVD/CBC-based upwind scheme for
                                  convection discretization  . . . . . . . 29--50
             Matthias Humet and   
                 Marc Van Barel   When is the Uvarov transformation
                                  positive definite? . . . . . . . . . . . 51--62
                  Hua Qiang and   
                    Kewei Liang   Moving mesh method for problems with
                                  blow-up on unbounded domains . . . . . . 63--77
                Zhifeng Dai and   
                    Fenghua Wen   Global convergence of a modified
                                  Hestenes--Stiefel nonlinear conjugate
                                  gradient method with Armijo line search  79--93
            Katsuhisa Ozaki and   
              Takeshi Ogita and   
            Shin'ichi Oishi and   
              Siegfried M. Rump   Error-free transformations of matrix
                                  multiplication by using fast routines of
                                  matrix multiplication and its
                                  applications . . . . . . . . . . . . . . 95--118
                  Gancho Tachev   New estimates in Voronovskaja's theorem  119--129
              Fevzi Erdogan and   
            Gabil M. Amiraliyev   Fitted finite difference method for
                                  singularly perturbed delay differential
                                  equations  . . . . . . . . . . . . . . . 131--145
               Pengfei Wang and   
                Jianping Li and   
                        Qian Li   Computational uncertainty and the
                                  application of a high-performance
                                  multiple precision scheme to obtaining
                                  the correct reference solution of Lorenz
                                  equations  . . . . . . . . . . . . . . . 147--159

Numerical Algorithms
Volume 59, Number 2, February, 2012

         Fred J. Hickernell and   
              Peter Kritzer and   
             Frances Y. Kuo and   
                    Dirk Nuyens   Weighted compound integration rules with
                                  higher order convergence for all $N$ . . 161--183
                Sunil Kumar and   
                   Mukesh Kumar   Parameter-robust numerical method for a
                                  system of singularly perturbed initial
                                  value problems . . . . . . . . . . . . . 185--195
           Jalil Rashidinia and   
                  Ali Tahmasebi   Systems of nonlinear Volterra
                                  integro-differential equations . . . . . 197--212
                Rongxing Wu and   
                    Ji Wang and   
                  Jianke Du and   
                 Yuantai Hu and   
                    Hongping Hu   Solutions of nonlinear thickness-shear
                                  vibrations of an infinite isotropic
                                  plate with the homotopy analysis method  213--226
          Luis Bayón and   
               Jose M. Grau and   
              Maria M. Ruiz and   
         Pedro M. Suárez   Cyclic coordinate descent in
                                  hydrothermal nonsmooth problems  . . . . 227--247
               Hongwu Zhang and   
                       Ting Wei   An improved non-local boundary value
                                  problem method for a Cauchy problem of
                                  the Laplace equation . . . . . . . . . . 249--269
                     Zhiyong Si   Second order modified method of
                                  characteristics mixed defect-correction
                                  finite element method for time dependent
                                  Navier--Stokes problems  . . . . . . . . 271--300
                Yair Censor and   
                Aviv Gibali and   
                   Simeon Reich   Algorithms for the Split Variational
                                  Inequality Problem . . . . . . . . . . . 301--323
              Arthur Neuman and   
             Lothar Reichel and   
                  Hassane Sadok   Algorithms for range restricted
                                  iterative methods for linear discrete
                                  ill-posed problems . . . . . . . . . . . 325--331

Numerical Algorithms
Volume 59, Number 3, March, 2012

            Samuel N. Jator and   
                       Jiang Li   An algorithm for second order initial
                                  and boundary value problems with an
                                  automatic error estimate based on a
                                  third derivative method  . . . . . . . . 333--346
              Phan Thanh An and   
                  Le Hong Trang   A parallel algorithm based on convexity
                                  for the computing of Delaunay
                                  tessellation . . . . . . . . . . . . . . 347--357
              Shengfeng Zhu and   
                 Hancan Zhu and   
                Qingbiao Wu and   
                     Yasir Khan   An adaptive algorithm for the
                                  Thomas--Fermi equation . . . . . . . . . 359--372
            Waheed K. Zahra and   
               Samah M. Elkholy   Quadratic spline solution for boundary
                                  value problem of fractional order  . . . 373--391
                Awad H. Al-Mohy   A more accurate Briggs method for the
                                  logarithm  . . . . . . . . . . . . . . . 393--402
               Jan Baldeaux and   
                 Josef Dick and   
          Gunther Leobacher and   
                Dirk Nuyens and   
       Friedrich Pillichshammer   Efficient calculation of the worst-case
                                  error and (fast) component-by-component
                                  construction of higher order polynomial
                                  lattice rules  . . . . . . . . . . . . . 403--431
               Martin Fuhry and   
                 Lothar Reichel   A new Tikhonov regularization method . . 433--445
               Joshua L. Willis   Acceleration of generalized
                                  hypergeometric functions through precise
                                  remainder asymptotics  . . . . . . . . . 447--485
   Anne Kværnò and   
                   J. H. Verner   Subquadrature expansions for TSRK
                                  methods  . . . . . . . . . . . . . . . . 487--504

Numerical Algorithms
Volume 59, Number 4, April, 2012

                Hongmin Ren and   
             Ioannis K. Argyros   Improved local analysis for a certain
                                  class of iterative methods with cubic
                                  convergence  . . . . . . . . . . . . . . 505--521
           Masoud Ahookhosh and   
                   Keyvan Amini   An efficient nonmonotone trust-region
                                  method for unconstrained optimization    523--540
                Arshad Khan and   
                  Talat Sultana   Non-polynomial quintic spline solution
                                  for the system of third order
                                  boundary-value problems  . . . . . . . . 541--559
                    Zhi-Hao Cao   A note on spectrum analysis of
                                  augmentation block Schur complement
                                  preconditioners  . . . . . . . . . . . . 561--569
Tatiana Paraskevova Chernogorova and   
 Beata Stehlíková   A comparison of asymptotic analytical
                                  formulae with finite-difference
                                  approximations for pricing zero coupon
                                  bond . . . . . . . . . . . . . . . . . . 571--588
               Behrouz Kheirfam   Simplified infeasible interior-point
                                  algorithm for SDO using full
                                  Nesterov--Todd step  . . . . . . . . . . 589--606
      Stanis\law Lewanowicz and   
              Pawel Wo\'zny and   
                   Pawel Keller   Polynomial approximation of rational
                                  Bézier curves with constraints  . . . . . 607--622
                  Lin Zheng and   
                   Chuanqing Gu   Recurrence relations for semilocal
                                  convergence of a fifth-order method in
                                  Banach spaces  . . . . . . . . . . . . . 623--638
      Michela Redivo-Zaglia and   
             Giuseppe Rodriguez   \tt smt: a Matlab toolbox for structured
                                  matrices . . . . . . . . . . . . . . . . 639--659


Numerical Algorithms
Volume 60, Number 1, May, 2012

        Angelamaria Cardone and   
           Zdzis\law Jackiewicz   Explicit Nordsieck methods with
                                  quadratic stability  . . . . . . . . . . 1--25
            Somayyeh Fazeli and   
         Gholamreza Hojjati and   
             Sedaghat Shahmorad   Multistep Hermite collocation methods
                                  for solving Volterra Integral Equations  27--50
      Herbert Dueñas and   
         Edmundo J. Huertas and   
     Francisco Marcellán   Asymptotic properties of
                                  Laguerre--Sobolev type orthogonal
                                  polynomials  . . . . . . . . . . . . . . 51--73
                   Kun Wang and   
                 Zhiyong Si and   
                   Yanfang Yang   Stabilized finite element method for the
                                  viscoelastic Oldroyd fluid flows . . . . 75--100
           Isabella Cravero and   
         Giovanna Pittaluga and   
               Laura Sacripante   An algorithm for solving linear Volterra
                                  integro-differential equations . . . . . 101--114
        Karel J. in 't Hout and   
                    Kim Volders   Stability of central finite difference
                                  schemes for the Heston PDE . . . . . . . 115--133
                 Yang Zhang and   
                   Kairong Wang   A new general form of conjugate gradient
                                  methods with guaranteed descent and
                                  strong global convergence properties . . 135--152
                Fu-Rong Lin and   
                    Chi-Xi Wang   BTTB preconditioners for BTTB systems    153--167
              Germana Landi and   
         Elena Loli Piccolomini   An improved Newton projection method for
                                  nonnegative deblurring of
                                  Poisson-corrupted images with Tikhonov
                                  regularization . . . . . . . . . . . . . 169--188

Numerical Algorithms
Volume 60, Number 2, June, 2012

          Gérard Meurant   The computation of isotropic vectors . . 193--204
                    Naoki Osada   The early history of convergence
                                  acceleration methods . . . . . . . . . . 205--221
 Francisco Marcellán and   
Natalia C. Pinzón-Cortés   $(1, 1)-q$-coherent pairs  . . . . . . . 223--239
          Marie-Laurence Mazure   Polynomial splines as examples of
                                  Chebyshevian splines . . . . . . . . . . 241--262
 Jose Mario Martínez and   
    Leandro da Fonseca Prudente   Handling infeasibility in a large-scale
                                  nonlinear optimization algorithm . . . . 263--277
              Carmen Campos and   
                  Jose E. Roman   Strategies for spectrum slicing based on
                                  restarted Lanczos methods  . . . . . . . 279--295
        Ana Filipa Loureiro and   
                  Pascal Maroni   Polynomial sequences associated with the
                                  classical linear functionals . . . . . . 297--314
       Richard M. Slevinsky and   
                 Hassan Safouhi   A comparative study of numerical
                                  steepest descent, extrapolation, and
                                  sequence transformation methods in
                                  computing semi-infinite integrals  . . . 315--337
       Thomas Kilian Huckle and   
                Matous Sedlacek   Tikhonov--Phillips regularization with
                                  operator dependent seminorms . . . . . . 339--353

Numerical Algorithms
Volume 60, Number 3, July, 2012

          Mahmoud H. Annaby and   
             Rashad M. Asharabi   Computing eigenvalues of
                                  Sturm--Liouville problems by Hermite
                                  interpolations . . . . . . . . . . . . . 355--367
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence of a modified
                                  multi-point Jarratt method in Banach
                                  spaces under general continuity
                                  condition  . . . . . . . . . . . . . . . 369--390
           Basarab Mate\"\i and   
                Sylvain Meignen   Analysis of a class of nonlinear and
                                  non-separable multiscale representations 391--418
                S. K. Parhi and   
                    D. K. Gupta   Convergence of a third order method for
                                  fixed points in Banach spaces  . . . . . 419--434
                Ai-fan Ling and   
                  Cheng-xian Xu   A new discrete filled function method
                                  for solving large scale max-cut problems 435--461
       Sandile Sydney Motsa and   
           Stanford Shateyi and   
           Gerald T. Marewo and   
               Precious Sibanda   An improved spectral homotopy analysis
                                  method for MHD flow in a semi-porous
                                  channel  . . . . . . . . . . . . . . . . 463--481
                  Aili Yang and   
                 Yujiang Wu and   
                Yongqing Wu and   
                      Dawei Ren   Bi-parameter incremental unknowns ADI
                                  iterative methods for elliptic problems  483--499
               Shifang Yuan and   
                Anping Liao and   
                     Guozhu Yao   Parameterized inverse singular value
                                  problem for anti-bisymmetric matrices    501--522
                Thierry Gensane   Interpolation on the hypersphere with
                                  Thiele type rational interpolants  . . . 523--529

Numerical Algorithms
Volume 60, Number 4, August, 2012

            Silvia Noschese and   
                 Lothar Reichel   Inverse problems for regularization
                                  matrices . . . . . . . . . . . . . . . . 531--544
            Wies\law Ple\'sniak   Nearly optimal meshes in subanalytic
                                  sets . . . . . . . . . . . . . . . . . . 545--553
            Sotirios E. Notaris   The error norm of quadrature formulae    555--578
           M. R. Capobianco and   
                   G. Criscuolo   Convergence and stability of a new
                                  quadrature rule for evaluating Hilbert
                                  transform  . . . . . . . . . . . . . . . 579--592
           Woula Themistoclakis   Uniform approximation on $ [ - 1, 1] $
                                  via discrete de la Vallée Poussin means   593--612
              Marco Gaviano and   
                   Daniela Lera   Properties and numerical testing of a
                                  parallel global optimization algorithm   613--629
            Ilario Mazzieri and   
              Francesca Rapetti   Dispersion analysis of triangle-based
                                  spectral element methods for elastic
                                  wave propagation . . . . . . . . . . . . 631--650
                Marco Donatelli   On nondecreasing sequences of
                                  regularization parameters for
                                  nonstationary iterated Tikhonov  . . . . 651--668
                K. Castillo and   
                L. E. Garza and   
            F. Marcellán   Zeros of Sobolev orthogonal polynomials
                                  on the unit circle . . . . . . . . . . . 669--681
                   L. Dykes and   
                     L. Reichel   On the reduction of Tikhonov
                                  minimization problems and the
                                  construction of regularization matrices  683--696


Numerical Algorithms
Volume 61, Number 1, September, 2012

              Siegfried M. Rump   Fast interval matrix multiplication  . . 1--34
         Torsten Linß and   
              Goran Radojev and   
                   Helena Zarin   Approximation of singularly perturbed
                                  reaction-diffusion problems by quadratic
                                  $ C^1 $-splines  . . . . . . . . . . . . 35--55
                 Zhang Lipu and   
                 Bai Yanqin and   
                    Xu Yinghong   A full-Newton step infeasible
                                  interior-point algorithm for monotone
                                  LCP based on a locally-kernel function   57--81
            Kamal Shanazari and   
                Mohammad Hosami   Adapting nodes in three dimensional
                                  irregular regions for meshless-type
                                  methods  . . . . . . . . . . . . . . . . 83--103
                   Peng Xia and   
              Shugong Zhang and   
                         Na Lei   The Neville-like form of the Fitzpatrick
                                  algorithm for rational interpolation . . 105--120
               Ping-Fan Dai and   
                Yao-Tang Li and   
                  Chang-Jing Lu   Error bounds for linear complementarity
                                  problems for SB-matrices . . . . . . . . 121--139
              Amir Haghighi and   
           S. Mohammad Hosseini   A class of split-step balanced methods
                                  for stiff stochastic differential
                                  equations  . . . . . . . . . . . . . . . 141--162
        Nathalie Verdi\`ere and   
       Lilianne Denis-Vidal and   
       Ghislaine Joly-Blanchard   A new method for estimating derivatives
                                  based on a distribution approach . . . . 163--186
               Ping-Fan Dai and   
                Yao-Tang Li and   
                  Chang-Jing Lu   Erratum to: Error bounds for linear
                                  complementarity problems for SB-matrices 187--187

Numerical Algorithms
Volume 61, Number 2, October, 2012

        Bernhard Beckermann and   
              Daniel Bessis and   
               Luca Perotti and   
               Daniel Vrinceanu   Computing high precision Matrix Padé
                                  approximants . . . . . . . . . . . . . . 189--208
          Catterina Dagnino and   
             Paola Lamberti and   
                   Sara Remogna   B-spline bases for unequally smooth
                                  quadratic spline spaces on non-uniform
                                  criss-cross triangulations . . . . . . . 209--222
           Luca Bergamaschi and   
 Ángeles Martínez   Banded target matrices and recursive
                                  FSAI for parallel preconditioning  . . . 223--241
               Akiko Fukuda and   
            Yusaku Yamamoto and   
            Masashi Iwasaki and   
             Emiko Ishiwata and   
             Yoshimasa Nakamura   Error analysis for matrix eigenvalue
                                  algorithm based on the discrete hungry
                                  Toda equation  . . . . . . . . . . . . . 243--260
            Munehiro Nagata and   
            Masashi Iwasaki and   
             Yoshimasa Nakamura   Error analysis of the mdLVs algorithm
                                  for computing bidiagonal singular values 261--274
                Walter Gautschi   Numerical integration over the square in
                                  the presence of algebraic/logarithmic
                                  singularities with an application to
                                  aerodynamics . . . . . . . . . . . . . . 275--290
                 Annie Cuyt and   
                 Irem Yaman and   
     Bayram Ali Ibrahimoglu and   
             Brahim Benouahmane   Radial orthogonality and Lebesgue
                                  constants on the disk  . . . . . . . . . 291--313
             Luca Gemignani and   
                 Vanni Noferini   Modifications of Newton's method for
                                  even-grade palindromic polynomials and
                                  other twined polynomials . . . . . . . . 315--329
              R. D'Ambrosio and   
                E. Esposito and   
                 B. Paternoster   General linear methods for $ y'' =
                                  f(y(t)) $  . . . . . . . . . . . . . . . 331--349

Numerical Algorithms
Volume 61, Number 3, November, 2012

               Bernard Bialecki   A fourth order finite difference method
                                  for the Dirichlet biharmonic problem . . 351--375
         André Draux and   
                  Mohamed Sadik   Generalized $ q d $ algorithm for block
                                  band matrices  . . . . . . . . . . . . . 377--396
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Secant-type methods and nondiscrete
                                  induction  . . . . . . . . . . . . . . . 397--412
                  Lin Zheng and   
                   Chuanqing Gu   Semilocal convergence of a sixth-order
                                  method in Banach spaces  . . . . . . . . 413--427
               Yuanyuan Liu and   
                    Yongkui Zou   Numerical computation of connecting
                                  orbits on a manifold . . . . . . . . . . 429--464
             Gunar Matthies and   
                   Lutz Tobiska   A two-level local projection
                                  stabilisation on uniformly refined
                                  triangular meshes  . . . . . . . . . . . 465--478
               A. Valinejad and   
           S. Mohammad Hosseini   A stepsize control algorithm for SDEs
                                  with small noise based on stochastic
                                  Runge--Kutta Maruyama methods  . . . . . 479--498
           Sandile S. Motsa and   
           Precious Sibanda and   
               Gerald T. Marewo   On a new analytical method for flow
                                  between two inclined walls . . . . . . . 499--514
           Hossein Vosoughi and   
            Elyas Shivanian and   
               Saeid Abbasbandy   Unique and multiple PHAM series
                                  solutions of a class of nonlinear
                                  reactive transport model . . . . . . . . 515--524

Numerical Algorithms
Volume 61, Number 4, December, 2012

            Kassem Mustapha and   
                Jaafar AlMutawa   A finite difference method for an
                                  anomalous sub-diffusion equation, theory
                                  and applications . . . . . . . . . . . . 525--543
         Mohamed K. El-Daou and   
             Khaled M. Al-Hamad   Computation of the canonical polynomials
                                  and applications to some optimal control
                                  problems . . . . . . . . . . . . . . . . 545--566
           Janak Raj Sharma and   
                   Rajni Sharma   Modified Chebyshev--Halley type method
                                  and its variants for computing multiple
                                  roots  . . . . . . . . . . . . . . . . . 567--578
           Eugene O'Riordan and   
                    Jason Quinn   Parameter-uniform numerical methods for
                                  some singularly perturbed nonlinear
                                  initial value problems . . . . . . . . . 579--611
           Robert A. Van Gorder   Control of error in the homotopy
                                  analysis of semi-linear elliptic
                                  boundary value problems  . . . . . . . . 613--629
                Sergio Amat and   
             Sonia Busquier and   
María José Legaz and   
        Fernando Manzano \ldots   Reciprocal polynomial extrapolation vs
                                  Richardson extrapolation for singular
                                  perturbed boundary problems  . . . . . . 631--647
                Walter Gautschi   Sub-range Jacobi polynomials . . . . . . 649--657
               Behrouz Kheirfam   Primal-dual interior-point algorithm for
                                  semidefinite optimization based on a new
                                  kernel function with trigonometric
                                  barrier term . . . . . . . . . . . . . . 659--680
                Hani Akbari and   
             Asghar Kerayechian   Coiflet--Galerkin method for solving
                                  second order BVPs with variable
                                  coefficients in three dimensions . . . . 681--698


Numerical Algorithms
Volume 62, Number 1, January, 2013

           Jalil Rashidinia and   
          Khosro Maleknejad and   
                  Narges Taheri   Sinc--Galerkin method for numerical
                                  solution of the Bratu's problems . . . . 1--11
            Samuel N. Jator and   
                S. Swindell and   
                      R. French   Trigonometrically fitted block Numerov
                                  type method for $ y'' = f (x, y, y') $   13--26
                    Xin Luo and   
                  Jin Huang and   
                Chuan-Long Wang   Splitting extrapolation algorithms for
                                  solving the boundary integral equations
                                  of anisotropic Darcy's equation on
                                  polygons by mechanical quadrature
                                  methods  . . . . . . . . . . . . . . . . 27--43
                Brian A. Hagler   Anchoring and steering Gaussian
                                  quadrature for positive definite strong
                                  moment functionals . . . . . . . . . . . 45--58
              Zhong-Zhi Bai and   
                    Li-Li Zhang   Modulus-based synchronous two-stage
                                  multisplitting iteration methods for
                                  linear complementarity problems  . . . . 59--77
                     Le Han and   
                  Shujun Bi and   
                    Shaohua Pan   Nonsingularity of FB system and
                                  constraint nondegeneracy in semidefinite
                                  programming  . . . . . . . . . . . . . . 79--113
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Estimating upper bounds on the limit
                                  points of majorizing sequences for
                                  Newton's method  . . . . . . . . . . . . 115--132
            Philip W. Sharp and   
        Mohammad A. Qureshi and   
               Kevin R. Grazier   High order explicit Runge--Kutta Nyström
                                  pairs  . . . . . . . . . . . . . . . . . 133--148
               Wanyou Cheng and   
                     Zixin Chen   Nonmonotone spectral method for
                                  large-scale symmetric nonlinear
                                  equations  . . . . . . . . . . . . . . . 149--162

Numerical Algorithms
Volume 62, Number 2, February, 2013

      Gérard Meurant and   
              Petr Tichý   On computing quadrature-based bounds for
                                  the $A$-norm of the error in conjugate
                                  gradients  . . . . . . . . . . . . . . . 163--191
               Xiaojie Wang and   
                     Siqing Gan   A Runge--Kutta type scheme for nonlinear
                                  stochastic partial differential
                                  equations with multiplicative trace
                                  class noise  . . . . . . . . . . . . . . 193--223
               Peter Benner and   
     Patrick Kürschner and   
                      Jens Saak   Efficient handling of complex shift
                                  parameters in the low-rank Cholesky
                                  factor ADI method  . . . . . . . . . . . 225--251
               Ion Pavaloiu and   
                   Emil Catinas   On an Aitken--Newton type method . . . . 253--260
           Katrijn Frederix and   
             Steven Delvaux and   
                 Marc Van Barel   An algorithm for computing the
                                  eigenvalues of block companion matrices  261--287
               Xinzhong Cai and   
              Guoqiang Wang and   
                    Zihou Zhang   Complexity analysis and numerical
                                  implementation of primal-dual
                                  interior-point methods for convex
                                  quadratic optimization based on a finite
                                  barrier  . . . . . . . . . . . . . . . . 289--306
           Janak Raj Sharma and   
          Rangan Kumar Guha and   
                   Rajni Sharma   An efficient fourth order
                                  weighted-Newton method for systems of
                                  nonlinear equations  . . . . . . . . . . 307--323
                  Xuanchun Dong   A trigonometric integrator
                                  pseudospectral discretization for the
                                  $N$-coupled nonlinear Klein--Gordon
                                  equations  . . . . . . . . . . . . . . . 325--336
                    Tao Fan and   
                 Xiangcheng You   Optimal homotopy analysis method for
                                  nonlinear differential equations in the
                                  boundary layer . . . . . . . . . . . . . 337--354

Numerical Algorithms
Volume 62, Number 3, March, 2013

                  Jiyong Li and   
                     Xinyuan Wu   Adapted Falkner-type methods solving
                                  oscillatory second-order differential
                                  equations  . . . . . . . . . . . . . . . 355--381
                   Mingrong Cui   Convergence analysis of high-order
                                  compact alternating direction implicit
                                  schemes for the two-dimensional time
                                  fractional diffusion equation  . . . . . 383--409
            Reza Zolfaghari and   
               Abdollah Shidfar   Solving a parabolic PDE with nonlocal
                                  boundary conditions using the Sinc
                                  method . . . . . . . . . . . . . . . . . 411--427
              Xiaofeng Wang and   
                      Tie Zhang   A family of Steffensen type methods with
                                  seventh-order convergence  . . . . . . . 429--444
             Chafik Allouch and   
         Paul Sablonni\`ere and   
                   Driss Sbibih   A collocation method for the numerical
                                  solution of a two dimensional integral
                                  equation using a quadratic spline
                                  quasi-interpolant  . . . . . . . . . . . 445--468
           M. Khorramizadeh and   
               N. Mahdavi-Amiri   An efficient algorithm for sparse null
                                  space basis problem using ABS methods    469--485
              Germana Landi and   
         Elena Loli Piccolomini   NPTool: a Matlab software for
                                  nonnegative image restoration with
                                  Newton projection methods  . . . . . . . 487--504
          Faezeh Toutounian and   
                Nasser Akhoundi   Recursive self preconditioning method
                                  based on Schur complement for Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 505--525
              Ghazala Akram and   
               Hamood Ur Rehman   Numerical solution of eighth order
                                  boundary value problems in reproducing
                                  kernel space . . . . . . . . . . . . . . 527--540

Numerical Algorithms
Volume 62, Number 4, April, 2013

                  Guido Ala and   
               Elisa Francomano   A marching-on in time meshless kernel
                                  based solver for full-wave
                                  electromagnetic simulation . . . . . . . 541--558
              Daniel Bessis and   
               Luca Perotti and   
               Daniel Vrinceanu   Noise in the complex plane: open
                                  problems . . . . . . . . . . . . . . . . 559--569
       Christos Kravvaritis and   
              Marilena Mitrouli   On the complete pivoting conjecture for
                                  Hadamard matrices: further progress and
                                  a good pivots property . . . . . . . . . 571--582
Maria João Rodrigues and   
              José Matos   A tau method for nonlinear dynamical
                                  systems  . . . . . . . . . . . . . . . . 583--600
             S. P. Oliveira and   
   A. Ruiz de Zárate and   
             A. C. da Rocha and   
              D. G. Alfaro Vigo   A note on the alternate trapezoidal
                                  quadrature method for Fredholm integral
                                  eigenvalue problems  . . . . . . . . . . 601--614
           Claudio Estatico and   
             Fabio Di Benedetto   Shift-invariant approximations of
                                  structured shift-variant blurring
                                  matrices . . . . . . . . . . . . . . . . 615--635
               V. Kalantzis and   
                   C. Bekas and   
                 A. Curioni and   
                 E. Gallopoulos   Accelerating data uncertainty
                                  quantification by solving linear systems
                                  with multiple right-hand sides . . . . . 637--653
              Zhong-Zhi Bai and   
                  Fang Chen and   
                   Zeng-Qi Wang   Additive block diagonal preconditioning
                                  for block two-by-two linear systems of
                                  skew-Hamiltonian coefficient matrices    655--675


Numerical Algorithms
Volume 63, Number 1, May, 2013

               Dingwen Deng and   
                Chengjian Zhang   Analysis of a fourth-order compact ADI
                                  method for a linear hyperbolic equation
                                  with three spatial variables . . . . . . 1--26
              M. M. Tharwat and   
               A. H. Bhrawy and   
                 Ahmet Yildirim   Numerical computation of eigenvalues of
                                  discontinuous Sturm--Liouville problems
                                  with parameter dependent boundary
                                  conditions using sinc method . . . . . . 27--48
             Guangqing Long and   
                  Weifen Wu and   
           Gnaneshwar Nelakanti   A fast multiscale Kantorovich method for
                                  weakly singular integral equations . . . 49--63
             Lothar Reichel and   
             Giuseppe Rodriguez   Old and new parameter choice rules for
                                  discrete ill-posed problems  . . . . . . 65--87
        Marek J. \'Smieta\'nski   A perturbed version of an inexact
                                  generalized Newton method for solving
                                  nonsmooth equations  . . . . . . . . . . 89--106
             S\lAwomir Milewski   Selected computational aspects of the
                                  meshless finite difference method  . . . 107--126
       Sébastien Duminil   A parallel implementation of the CMRH
                                  method for dense linear systems  . . . . 127--142
              Xindong Zhang and   
                   Juan Liu and   
                   Juan Wen and   
                    Bo Tang and   
                     Yinnian He   Analysis for one-dimensional
                                  time-fractional Tricomi-type equations
                                  by LDG methods . . . . . . . . . . . . . 143--164
            F. A. Costabile and   
                       E. Longo   $ \Delta_h $-Appell sequences and
                                  related interpolation problem  . . . . . 165--186
              Luisa D'Amore and   
           Rosanna Campagna and   
               Valeria Mele and   
                 Almerico Murli   ReLaTIve. An ANSI C90 software package
                                  for the \sc Real \sc Laplace \sc
                                  Transform \sc In\sc version  . . . . . . 187--211

Numerical Algorithms
Volume 63, Number 2, June, 2013

           Kendall Atkinson and   
                Olaf Hansen and   
                    David Chien   A spectral method for parabolic
                                  differential equations . . . . . . . . . 213--237
                  Ben Segal and   
                     M. A. Iwen   Improved sparse Fourier approximation
                                  results: faster implementations and
                                  stronger guarantees  . . . . . . . . . . 239--263
            Chang-Ming Chen and   
                     F. Liu and   
                  I. Turner and   
                     V. Anh and   
                        Y. Chen   Numerical approximation for a
                                  variable-order nonlinear
                                  reaction-subdiffusion equation . . . . . 265--290
                  Jun Zhang and   
                    Yu-Fei Yang   Nonlinear multigrid method for solving
                                  the anisotropic image denoising models   291--315
                R. Hiptmair and   
                G. Phillips and   
                       G. Sinha   Multiple point evaluation on combined
                                  tensor product supports  . . . . . . . . 317--337
          Kristopher L. Kuhlman   Review of inverse Laplace transform
                                  algorithms for Laplace-space numerical
                                  approaches . . . . . . . . . . . . . . . 339--355
                Ji-Teng Jia and   
                  Yao-Lin Jiang   Symbolic algorithm for solving cyclic
                                  penta-diagonal linear systems  . . . . . 357--367
                Walter Gautschi   Repeated modifications of orthogonal
                                  polynomials by linear divisors . . . . . 369--383
                   S. Asadi and   
                    H. Mansouri   Polynomial interior-point algorithm for
                                  $ P_*(\kappa)(\kappa) $ horizontal
                                  linear complementarity problems  . . . . 385--398

Numerical Algorithms
Volume 63, Number 3, July, 2013

           Sandile S. Motsa and   
               Precious Sibanda   Some modifications of the
                                  quasilinearization method with
                                  higher-order convergence for solving
                                  nonlinear BVPs . . . . . . . . . . . . . 399--417
                   Lina Yue and   
                  Yongjian Yang   A new integral filter algorithm for
                                  unconstrained global optimization  . . . 419--430
              Akbar Mohebbi and   
             Mostafa Abbaszadeh   Compact finite difference scheme for the
                                  solution of time fractional
                                  advection-dispersion equation  . . . . . 431--452
                  Phillip Barry   Properties of an $h$-Bernstein-like
                                  basis and curves . . . . . . . . . . . . 453--481
              Mathieu Huard and   
          Nathalie Sprynski and   
            Nicolas Szafran and   
                      Luc Biard   Reconstruction of quasi developable
                                  surfaces from ribbon curves  . . . . . . 483--506
              Pascal Maroni and   
          Zélia da Rocha   Connection coefficients for orthogonal
                                  polynomials: symbolic computations,
                                  verifications and demonstrations in the
                                  Mathematica language . . . . . . . . . . 507--520
             Shan-Shan Wang and   
                 Guo-Feng Zhang   Preconditioned AHSS iteration method for
                                  singular saddle point problems . . . . . 521--535
                Hassan Majidian   Numerical approximation of highly
                                  oscillatory integrals on semi-finite
                                  intervals by steepest descent method . . 537--548
                Jovana Dzuni\'c   On efficient two-parameter methods for
                                  solving nonlinear equations  . . . . . . 549--569
              Luisa D'Amore and   
           Rosanna Campagna and   
               Valeria Mele and   
             Almerico Murli and   
          Mariarosaria Rizzardi   Erratum to: ReLaTIve. An ANSI C90
                                  software package for the \sc Real \sc
                                  Laplace \sc Transform \sc In\sc version  571--571

Numerical Algorithms
Volume 63, Number 4, August, 2013

                    Rafal Nowak   A method of convergence acceleration of
                                  some continued fractions II  . . . . . . 573--600
                   Iwona Skalna   Algorithm for min-range multiplication
                                  of affine forms  . . . . . . . . . . . . 601--614
           Christian Mollet and   
                   Roland Pabel   Efficient application of nonlinear
                                  stationary operators in adaptive wavelet
                                  methods --- the isotropic case . . . . . 615--643
          Gian Mario Besana and   
            Sandra Di Rocco and   
     Jonathan D. Hauenstein and   
          Andrew J. Sommese and   
             Charles W. Wampler   Cell decomposition of almost smooth real
                                  algebraic surfaces . . . . . . . . . . . 645--678
                 Sergey Khashin   Butcher algebras for Butcher systems . . 679--689
            Xiangtuan Xiong and   
              Xiaochen Zhao and   
                    Junxia Wang   Spectral Galerkin method and its
                                  application to a Cauchy problem of
                                  Helmholtz equation . . . . . . . . . . . 691--711
               F. F. Ngwane and   
                    S. N. Jator   Block hybrid method using trigonometric
                                  basis for initial value problems with
                                  oscillating solutions  . . . . . . . . . 713--725
                Tiexiang Li and   
        Peter Chang-Yi Weng and   
          Eric King-wah Chu and   
                    Wen-Wei Lin   Large-scale Stein and Lyapunov
                                  equations, Smith method, and
                                  applications . . . . . . . . . . . . . . 727--752
                     Lin Mu and   
               Junping Wang and   
                Yanqiu Wang and   
                         Xiu Ye   A computational study of the weak
                                  Galerkin method for second-order
                                  elliptic equations . . . . . . . . . . . 753--777


Numerical Algorithms
Volume 64, Number 1, September, 2013

                Jinghui Liu and   
                   Changfeng Ma   A nonmonotone trust region method with
                                  new inexact line search for
                                  unconstrained optimization . . . . . . . 1--20
           Masoud Ahookhosh and   
               Keyvan Amini and   
                Somayeh Bahrami   Two derivative-free projection
                                  approaches for systems of large-scale
                                  nonlinear monotone equations . . . . . . 21--42
         Antonios Danelakis and   
          Marilena Mitrouli and   
        Dimitrios Triantafyllou   Blind image deconvolution using a banded
                                  matrix method  . . . . . . . . . . . . . 43--72
              Michele Benzi and   
                      Zhen Wang   A parallel implementation of the
                                  modified augmented Lagrangian
                                  preconditioner for the incompressible
                                  Navier--Stokes equations . . . . . . . . 73--84
       Paulo B. Vasconcelos and   
      Filomena D. d'Almeida and   
                  Jose E. Roman   A Jacobi--Davidson type method with a
                                  correction equation tailored for
                                  integral operators . . . . . . . . . . . 85--103
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence and $R$-order for
                                  modified Chebyshev--Halley methods . . . 105--126
          Temur Jangveladze and   
            Zurab Kiguradze and   
                  Beny Neta and   
                   Simeon Reich   Finite element approximations of a
                                  nonlinear diffusion model with memory    127--155
            F. A. Costabile and   
              F. Dell'Accio and   
                  F. Di Tommaso   Complementary Lidstone interpolation on
                                  scattered data sets  . . . . . . . . . . 157--180
            Chia-Tche Chang and   
             Vincent D. Blondel   An experimental study of approximation
                                  algorithms for the joint spectral radius 181--202

Numerical Algorithms
Volume 64, Number 2, October, 2013

         Mohamed K. El-Daou and   
          Suad Sh. Al Enezi and   
               Mona M. Mekkaoui   Correction of eigenvalues estimated by
                                  the Legendre--Gauss Tau method . . . . . 203--220
           Yves Courvoisier and   
               Martin J. Gander   Optimization of Schwarz waveform
                                  relaxation over short time windows . . . 221--243
                 Ning Zheng and   
                   Jun-Feng Yin   Accelerated modulus-based matrix
                                  splitting iteration methods for linear
                                  complementarity problem  . . . . . . . . 245--262
                 J. Baglama and   
                 L. Reichel and   
                    D. Richmond   An augmented LSQR method . . . . . . . . 263--293
                   Chun-Hua Guo   Monotone convergence of Newton-like
                                  methods for $M$-matrix algebraic Riccati
                                  equations  . . . . . . . . . . . . . . . 295--309
                 Chao-Ping Chen   Unified treatment of several asymptotic
                                  formulas for the gamma function  . . . . 311--319
                    Ming Gu and   
               Lek-Heng Lim and   
                 Cinna Julie Wu   ParNes: a rapidly convergent algorithm
                                  for accurate recovery of sparse and
                                  approximately sparse signals . . . . . . 321--347
           Bernard Bialecki and   
           Andreas Karageorghis   Modified nodal cubic spline collocation
                                  for three-dimensional variable
                                  coefficient second order partial
                                  differential equations . . . . . . . . . 349--383
           Calin-Ioan Gheorghiu   Laguerre collocation solutions to
                                  boundary layer type problems . . . . . . 385--401

Numerical Algorithms
Volume 64, Number 3, November, 2013

                   Lei Feng and   
                   Weiping Wang   Two families of approximations for the
                                  gamma function . . . . . . . . . . . . . 403--416
                Walter Gautschi   Neutralizing nearby singularities in
                                  numerical quadrature . . . . . . . . . . 417--425
                A. Karageorghis   Efficient Trefftz collocation algorithms
                                  for elliptic problems in circular
                                  domains  . . . . . . . . . . . . . . . . 427--453
                   Zhuohua Peng   The reflexive least squares solutions of
                                  the matrix equation $ A_1 X_1 B_1 + A_2
                                  X_2 B_2 + \cdots + A_l X_l B_l = C $
                                  with a submatrix constraint  . . . . . . 455--480
                John W. Pearson   A radial basis function method for
                                  solving PDE-constrained optimization
                                  problems . . . . . . . . . . . . . . . . 481--506
                  Fang Chen and   
                  Qing-Quan Liu   On semi-convergence of modified HSS
                                  iteration methods  . . . . . . . . . . . 507--518
      Michael Daniel Samson and   
                 Huiyuan Li and   
                   Li-Lian Wang   A new triangular spectral element method
                                  I: implementation and analysis on a
                                  triangle . . . . . . . . . . . . . . . . 519--547
              I. K. Argyros and   
             D. González   Unified majorizing sequences for
                                  Traub-type multipoint iterative
                                  procedures . . . . . . . . . . . . . . . 549--565
          Steffen Börm and   
            Jessica Gördes   Low-rank approximation of integral
                                  operators by using the Green formula and
                                  quadrature . . . . . . . . . . . . . . . 567--592

Numerical Algorithms
Volume 64, Number 4, December, 2013

              S. Abbasbandy and   
                      M. Jalili   Determination of optimal
                                  convergence-control parameter value in
                                  homotopy analysis method . . . . . . . . 593--605
                   Igor Boglaev   Uniform quadratic convergence of
                                  monotone iterates for nonlinear
                                  singularly perturbed parabolic problems  607--631
           Kristina Mallory and   
           Robert A. Van Gorder   Control of error in the homotopy
                                  analysis of solutions to the Zakharov
                                  system with dissipation  . . . . . . . . 633--657
                Qingbiao Wu and   
                   Minhong Chen   Convergence analysis of modified
                                  Newton--HSS method for solving systems
                                  of nonlinear equations . . . . . . . . . 659--683
José Antonio Ezquerro and   
                Angela Grau and   
 Miquel Grau-Sánchez and   
Miguel Ángel Hernández   On the efficiency of two variants of
                                  Kurchatov's method for solving nonlinear
                                  systems  . . . . . . . . . . . . . . . . 685--698
              Daniela Inoan and   
                      Ioan Rasa   A recursive algorithm for Bernstein
                                  operators of second kind . . . . . . . . 699--706
              Jianfei Huang and   
                  Yifa Tang and   
        Luis Vázquez and   
                      Jiye Yang   Two finite difference schemes for time
                                  fractional diffusion-wave equation . . . 707--720
               Yunong Zhang and   
                    Zhen Li and   
              Dongsheng Guo and   
                  Zhende Ke and   
                       Pei Chen   Discrete-time ZD, GD and NI for solving
                                  nonlinear time-varying equations . . . . 721--740
               Ping-Fan Dai and   
              Chang-Jing Lu and   
                    Yao-Tang Li   New error bounds for the linear
                                  complementarity problem with an $ S B
                                  $-matrix . . . . . . . . . . . . . . . . 741--757
                Walter Gautschi   Erratum to: Numerical integration over
                                  the square in the presence of
                                  algebraic/logarithmic singularities with
                                  an application to aerodynamics . . . . . 759--759


Numerical Algorithms
Volume 65, Number 1, January, 2014

             Chun-ming Tang and   
                  Shuai Liu and   
               Jin-bao Jian and   
                   Jian-ling Li   A feasible SQP--GS algorithm for
                                  nonconvex, nonsmooth constrained
                                  optimization . . . . . . . . . . . . . . 1--22
         Anastasia Cornelio and   
     Elena Loli Piccolomini and   
                  James G. Nagy   Constrained numerical optimization
                                  methods for blind deconvolution  . . . . 23--42
              Zhong-Zhi Bai and   
                Yu-Hong Ran and   
                        Li Yuan   On approximated ILU and UGS
                                  preconditioning methods for linearized
                                  discretized steady incompressible
                                  Navier--Stokes equations . . . . . . . . 43--68
    Jurjen Duintjer Tebbens and   
          Gérard Meurant   Prescribing the behavior of early
                                  terminating GMRES and Arnoldi iterations 69--90
          Martine Brilleaud and   
          Marie-Laurence Mazure   Design with $L$-splines  . . . . . . . . 91--124
               Jingjun Zhao and   
                    Yan Fan and   
                        Yang Xu   Delay-dependent stability analysis of
                                  symmetric boundary value methods for
                                  linear delay integro-differential
                                  equations  . . . . . . . . . . . . . . . 125--151
    Diyashvir K. R. Babajee and   
             Alicia Cordero and   
        Fazlollah Soleymani and   
             Juan R. Torregrosa   On improved three-step schemes with high
                                  efficiency index and their dynamics  . . 153--169
              H. Saberi Nik and   
                  S. Effati and   
                S. S. Motsa and   
                   M. Shirazian   Spectral homotopy analysis method and
                                  its convergence for solving a class of
                                  nonlinear optimal control problems . . . 171--194
                Radoslav Valkov   Fitted finite volume method for a
                                  generalized Black--Scholes equation
                                  transformed on finite interval . . . . . 195--220

Numerical Algorithms
Volume 65, Number 2, February, 2014

              Xiaojian Zhou and   
                   Xin Chen and   
                 Yongzhong Song   On the convergence radius of the
                                  modified Newton method for multiple
                                  roots under the center-Hölder condition   221--232
                  Yi-gui Ou and   
                         Wei Ma   A modified ODE-based algorithm for
                                  unconstrained optimization problems  . . 233--250
                    Bo Dong and   
             Matthew M. Lin and   
                   Moody T. Chu   Nonnegative rank factorization --- a
                                  heuristic approach via rank reduction    251--274
             Davoud Mirzaei and   
                Robert Schaback   Solving heat conduction problems by the
                                  Direct Meshless Local Petrov--Galerkin
                                  (DMLPG) method . . . . . . . . . . . . . 275--291
                      A. Melman   Implementation of Pellet's theorem . . . 293--304
                    Tao-Wen Liu   A regularized limited memory BFGS method
                                  for nonconvex unconstrained minimization 305--323
            Djilali Behloul and   
                  Sui Sun Cheng   Polynomial solutions of a nonlinear
                                  difference equation  . . . . . . . . . . 325--337
                Xiuhua Wang and   
               Dongyang Shi and   
                    Jisheng Kou   Convergence analysis for a family of
                                  improved super-Halley methods under
                                  general convergence condition  . . . . . 339--354
         Khosrow Maleknejad and   
   Iraj Najafi Khalilsaraye and   
               Mahdieh Alizadeh   On the solution of the
                                  integro-differential equation with an
                                  integral boundary condition  . . . . . . 355--374

Numerical Algorithms
Volume 65, Number 3, March, 2014

              Kevin Burrage and   
            Chus Sanz-Serna and   
           Zdzis\law Jackiewicz   Preface  . . . . . . . . . . . . . . . . 375--376
        Angelamaria Cardone and   
       Zdzis\law Jackiewicz and   
               Adrian Sandu and   
                     Hong Zhang   Extrapolation-based implicit-explicit
                                  general linear methods . . . . . . . . . 377--399
              R. P. K. Chan and   
                      N. Razali   Smoothing effects on the IMR and ITR . . 401--420
               Dajana Conte and   
        Raffaele D'Ambrosio and   
                  Giuseppe Izzo   Natural Volterra Runge--Kutta methods    421--445
          Piers W. Lawrence and   
              Robert M. Corless   Stability of rootfinding for barycentric
                                  Lagrange interpolants  . . . . . . . . . 447--464
                  Jiyong Li and   
                     Xinyuan Wu   Error analysis of explicit TSERKN
                                  methods for highly oscillatory systems   465--483
                   Adrian Sandu   A new look at the chemical master
                                  equation . . . . . . . . . . . . . . . . 485--498
            John C. Butcher and   
                  Gulshad Imran   Symplectic effective order methods . . . 499--517
          Pamela M. Burrage and   
                  Kevin Burrage   Structure-preserving Runge--Kutta
                                  methods for stochastic Hamiltonian
                                  equations with additive noise  . . . . . 519--532
                  D. J. L. Chen   The efficiency of singly-implicit
                                  Runge--Kutta methods for stiff
                                  differential equations . . . . . . . . . 533--554
                   J. H. Verner   Explicit Runge--Kutta pairs with lower
                                  stage-order  . . . . . . . . . . . . . . 555--577
        Raffaele D'Ambrosio and   
        Giuseppe De Martino and   
           Beatrice Paternoster   Order conditions for General Linear
                                  Nyström methods . . . . . . . . . . . . . 579--595
                 Sergey Khashin   Symmetries of explicit Runge--Kutta
                                  methods  . . . . . . . . . . . . . . . . 597--609
             Luigi Brugnano and   
                     Yajuan Sun   Multiple invariants conserving
                                  Runge--Kutta type methods for
                                  Hamiltonian problems . . . . . . . . . . 611--632
             Luigi Brugnano and   
     Gianluca Frasca Caccia and   
               Felice Iavernaro   Efficient implementation of Gauss
                                  collocation and Hamiltonian boundary
                                  value methods  . . . . . . . . . . . . . 633--650
               Yonglei Fang and   
                  Xiong You and   
                    Qinghe Ming   Trigonometrically fitted two-derivative
                                  Runge--Kutta methods for solving
                                  oscillatory differential equations . . . 651--667
                  T. M. H. Chan   Relations between the Hopf algebra and
                                  the $B$-series with new concepts . . . . 669--685
          Angela Y. J. Tsai and   
          Robert P. K. Chan and   
                   Shixiao Wang   Two-derivative Runge--Kutta methods for
                                  PDEs using a novel discretization
                                  approach . . . . . . . . . . . . . . . . 687--703
                   Bin Wang and   
                     Xinyuan Wu   A highly accurate explicit symplectic
                                  ERKN method for multi-frequency and
                                  multidimensional oscillatory Hamiltonian
                                  systems  . . . . . . . . . . . . . . . . 705--721

Numerical Algorithms
Volume 65, Number 4, April, 2014

               Jingjun Zhao and   
                Jingyu Xiao and   
                Neville J. Ford   Collocation methods for fractional
                                  integro-differential equations with
                                  weakly singular kernels  . . . . . . . . 723--743
               Paolo Novati and   
            Maria Rosaria Russo   Adaptive Arnoldi--Tikhonov
                                  regularization for image restoration . . 745--757
     Tomás Gergelits and   
                 Zdenek Strakos   Composite convergence bounds based on
                                  Chebyshev polynomials and finite
                                  precision conjugate gradient
                                  computations . . . . . . . . . . . . . . 759--782
              Alain F. Berlinet   Geometric approach to the parallel sum
                                  of vectors and application to the vector
                                  $ \varepsilon $-algorithm  . . . . . . . 783--807
          Sanjay K. Khattri and   
                 Trond Steihaug   Algorithm for forming derivative-free
                                  optimal methods  . . . . . . . . . . . . 809--824
                     Yan Yu and   
                      Bo Yu and   
                        Bo Dong   Robust continuation methods for tracing
                                  solution curves of parameterized systems 825--841
          Azzeddine Bellour and   
             Mahmoud Bousselsal   A Taylor collocation method for solving
                                  delay integral equations . . . . . . . . 843--857
                 Neculai Andrei   An accelerated subspace minimization
                                  three-term conjugate gradient algorithm
                                  for unconstrained optimization . . . . . 859--874
                H. W. Zhang and   
                         T. Wei   Two iterative methods for a Cauchy
                                  problem of the elliptic equation with
                                  variable coefficients in a strip region  875--892


Numerical Algorithms
Volume 66, Number 1, May, 2014

             J. M. Carnicer and   
                C. Godés   Interpolation on the disk  . . . . . . . 1--16
                 H. Scolnik and   
                N. Echebest and   
              M. T. Guardarucci   On the incomplete oblique projections
                                  method for solving box constrained least
                                  squares problems . . . . . . . . . . . . 17--32
                Xiuhua Wang and   
                    Jisheng Kou   Convergence for a family of modified
                                  Chebyshev methods under weak condition   33--48
               Keyvan Amini and   
           Masoud Ahookhosh and   
               Hadi Nosratipour   An inexact line search approach using
                                  modified nonmonotone strategy for
                                  unconstrained optimization . . . . . . . 49--78
              Nikolaos Halidias   A novel approach to construct numerical
                                  methods for stochastic differential
                                  equations  . . . . . . . . . . . . . . . 79--87
          Sebastien Duminil and   
              Hassane Sadok and   
                David Silvester   Fast solvers for discretized
                                  Navier--Stokes problems using vector
                                  extrapolation  . . . . . . . . . . . . . 89--104
              Michele Benzi and   
                  Elena Toscano   Mauro Picone, Sandro Faedo, and the
                                  numerical solution of partial
                                  differential equations in Italy
                                  (1928--1953) . . . . . . . . . . . . . . 105--145
                  Xiong You and   
                 Jinxi Zhao and   
                Hongli Yang and   
               Yonglei Fang and   
                     Xinyuan Wu   Order conditions for RKN methods solving
                                  general second-order oscillatory systems 147--176
                   M. Khasi and   
               F. Ghoreishi and   
                   M. Hadizadeh   Numerical analysis of a high order
                                  method for state-dependent delay
                                  integral equations . . . . . . . . . . . 177--201

Numerical Algorithms
Volume 66, Number 2, June, 2014

                  Zhen Chao and   
                   Naimin Zhang   A generalized preconditioned HSS method
                                  for singular saddle point problems . . . 203--221
               Xiao-Ping Xu and   
                 Feng-Gong Lang   Quintic B-spline method for function
                                  reconstruction from integral values of
                                  successive subintervals  . . . . . . . . 223--240
             J. A. Ezquerro and   
M. A. Hernández-Verón and   
                M. J. Rubio and   
                  A. I. Velasco   An hybrid method that improves the
                                  accessibility of Steffensen's method . . 241--267
              Mathew Baxter and   
       Robert A. Van Gorder and   
         Kuppalapalle Vajravelu   On the choice of auxiliary linear
                                  operator in the optimal homotopy
                                  analysis of the Cahn--Hilliard initial
                                  value problem  . . . . . . . . . . . . . 269--298
                  Hui Zhang and   
                  Yao-Lin Jiang   A note on the $ H^1 $-convergence of the
                                  overlapping Schwarz waveform relaxation
                                  method for the heat equation . . . . . . 299--307
              Siegfried M. Rump   Improved componentwise verified error
                                  bounds for least squares problems and
                                  underdetermined linear systems . . . . . 309--322
                Yair Censor and   
           Ioana Pantelimon and   
                Constantin Popa   Family constraining of iterative
                                  algorithms . . . . . . . . . . . . . . . 323--338
               P. Sablonni\`ere   Padé-type approximants for generalized
                                  Euler transforms . . . . . . . . . . . . 339--347
               Behrouz Kheirfam   A predictor--corrector interior-point
                                  algorithm for $ P_*(\kappa) $-horizontal
                                  linear complementarity problem . . . . . 349--361
               Peter Benner and   
              Pablo Ezzatti and   
Enrique S. Quintana-Ortí and   
           Alfredo Remón   A factored variant of the Newton
                                  iteration for the solution of algebraic
                                  Riccati equations via the matrix sign
                                  function . . . . . . . . . . . . . . . . 363--377
                Yuchao Tang and   
                 Jigen Peng and   
                    Shigang Yue   Cyclic and simultaneous iterative
                                  methods to matrix equations of the form
                                  $ A_i X B_i = F_i $  . . . . . . . . . . 379--397
                Lavdie Rada and   
                        Ke Chen   A variational model and its numerical
                                  solution for local, selective and
                                  automatic segmentation . . . . . . . . . 399--430

Numerical Algorithms
Volume 66, Number 3, July, 2014

José M. Gutiérrez and   
Luis J. Hernández-Paricio and   
Miguel Marañón-Grandes and   
M. Teresa Rivas-Rodríguez   Influence of the multiplicity of the
                                  roots on the basins of attraction of
                                  Newton's method  . . . . . . . . . . . . 431--455
       Richard M. Slevinsky and   
                 Hassan Safouhi   Useful properties of the coefficients of
                                  the Slevinsky--Safouhi formula for
                                  differentiation  . . . . . . . . . . . . 457--477
              Kingston Kang and   
            William Lothian and   
              Jessica Sears and   
                Brian D. Sutton   Simultaneous multidiagonalization for
                                  the CS decomposition . . . . . . . . . . 479--493
                 S. Shateyi and   
                S. S. Motsa and   
                        Y. Khan   A new piecewise spectral homotopy
                                  analysis of the Michaelis--Menten
                                  enzymatic reactions model  . . . . . . . 495--510
                Hongwei Lin and   
                 Yuelin Gao and   
                    Yuping Wang   A continuously differentiable filled
                                  function method for global optimization  511--523
              Manuel Alfaro and   
            Ana Peña and   
     Teresa E. Pérez and   
                M. Luisa Rezola   On linearly related orthogonal
                                  polynomials in several variables . . . . 525--553
                      Xu Li and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   Lopsided PMHSS iteration method for a
                                  class of complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 555--568
              Aleksandar Pejcev   Error bounds for Gauss-type quadratures
                                  with Bernstein--Szeg\Ho weights  . . . . 569--590
                  M. Arioli and   
                       J. Scott   Chebyshev acceleration of iterative
                                  refinement . . . . . . . . . . . . . . . 591--608
     Harald Hofstätter and   
                    Othmar Koch   An approximate eigensolver for
                                  self-consistent field calculations . . . 609--641
              J. Rashidinia and   
                  A. Barati and   
                      M. Nabati   Application of Sinc--Galerkin method to
                                  singularly perturbed parabolic
                                  convection-diffusion problems  . . . . . 643--662
                  R. Naseri and   
                       A. Malek   Optimization technique in solving
                                  laminar boundary layer problems with
                                  temperature dependent viscosity  . . . . 663--678
      Gérard Meurant and   
              Petr Tichý   Erratum to: On computing
                                  quadrature-based bounds for the $A$-norm
                                  of the error in conjugate gradients  . . 679--680

Numerical Algorithms
Volume 66, Number 4, August, 2014

            Daniel Kressner and   
     Marija Miloloza Pandur and   
                    Meiyue Shao   An indefinite variant of LOBPCG for
                                  definite matrix pencils  . . . . . . . . 681--703
                 Ai-Li Yang and   
                Yu-Jiang Wu and   
                   Zhen-Jian Xu   The semi-convergence properties of MHSS
                                  method for a class of complex
                                  nonsymmetric singular linear systems . . 705--719
                   Karla Pockaj   Hermite $ G^1 $ rational spline motion
                                  of degree six  . . . . . . . . . . . . . 721--739
              Fu-Sheng Wang and   
               Jin-Bao Jian and   
                Chuan-Long Wang   A model-hybrid approach for
                                  unconstrained optimization problems  . . 741--759
           Tristan A. Hearn and   
                 Lothar Reichel   Application of denoising methods to
                                  regularization of ill-posed problems . . 761--777
                    Wei-Qi Deng   A new iterative algorithm for solving a
                                  system of generalized mixed equilibrium
                                  problems for a kind of multi-valued
                                  nonlinear mappings . . . . . . . . . . . 779--791
               Fengmin Chen and   
            Patricia J. Y. Wong   Deficient discrete cubic spline solution
                                  for a system of second order boundary
                                  value problems . . . . . . . . . . . . . 793--809
               Owe Axelsson and   
             Maya Neytcheva and   
                   Bashir Ahmad   A comparison of iterative methods to
                                  solve complex valued linear algebraic
                                  systems  . . . . . . . . . . . . . . . . 811--841
           Kristina Mallory and   
           Robert A. Van Gorder   Optimal homotopy analysis and control of
                                  error for solutions to the non-local
                                  Whitham equation . . . . . . . . . . . . 843--863
               Sandile S. Motsa   On the practical use of the spectral
                                  homotopy analysis method and local
                                  linearisation method for unsteady
                                  boundary-layer flows caused by an
                                  impulsively stretching plate . . . . . . 865--883
               Bilel Kchouk and   
           Jean-Pierre Dussault   On per-iteration complexity of high
                                  order Chebyshev methods for sparse
                                  functions with banded Hessians . . . . . 885--909
                    J. Song and   
                      Q. Yu and   
                     F. Liu and   
                      I. Turner   A spatially second-order accurate
                                  implicit numerical method for the space
                                  and time fractional Bloch--Torrey
                                  equation . . . . . . . . . . . . . . . . 911--932


Numerical Algorithms
Volume 67, Number 1, September, 2014

              Markus Aurada and   
              Michael Ebner and   
            Michael Feischl and   
        Samuel Ferraz-Leite and   
         Thomas Führer and   
            Petra Goldenits and   
           Michael Karkulik and   
                Markus Mayr and   
                Dirk Praetorius   HILBERT --- a MATLAB implementation of
                                  adaptive $2$D-BEM  . . . . . . . . . . . 1--32
           M. Reza Peyghami and   
            S. Fathi Hafshejani   Complexity analysis of an interior-point
                                  algorithm for linear optimization based
                                  on a new proximity function  . . . . . . 33--48
              Songxin Liang and   
                      Junchi Ma   Laplace transform for the solution of
                                  higher order deformation equations
                                  arising in the homotopy analysis method  49--57
                Walter Gautschi   High-precision Gauss--Turán quadrature
                                  rules for Laguerre and Hermite weight
                                  functions  . . . . . . . . . . . . . . . 59--72
                    K. Chen and   
        E. Loli Piccolomini and   
                        F. Zama   An automatic regularization parameter
                                  selection algorithm in the total
                                  variation model for image deblurring . . 73--92
Gilberto González-Parra and   
                 Luis Acedo and   
              Abraham J. Arenas   A novel approach to obtain
                                  analytical-numerical solutions of
                                  nonlinear Lorenz system  . . . . . . . . 93--107
             Micol Ferranti and   
              Thanh Hieu Le and   
                  Raf Vandebril   A comparison between the complex
                                  symmetric based and classical
                                  computation of the singular value
                                  decomposition of normal matrices . . . . 109--120
         Martin S. Andersen and   
           Per Christian Hansen   Generalized row-action methods for
                                  tomographic imaging  . . . . . . . . . . 121--144
                Sergio Amat and   
                  Juan Ruiz and   
               J. Carlos Trillo   Improving the compression rate versus $
                                  L^1 $ error ratio in cell-average error
                                  control algorithms . . . . . . . . . . . 145--162
            Edyta Hetmaniok and   
               Damian Slota and   
         Tomasz Trawi\'nski and   
                   Roman Witula   Usage of the homotopy analysis method
                                  for solving the nonlinear and linear
                                  integral equations of the second kind    163--185
      Miodrag S. Petkovi\'c and   
             Lidija Z. Ranci\'c   On the guaranteed convergence of new
                                  two-point root-finding methods for
                                  polynomial zeros . . . . . . . . . . . . 187--222
           Malik Zaka Ullah and   
        Fazlollah Soleymani and   
                 A. S. Al-Fhaid   Numerical solution of nonlinear systems
                                  by a general class of iterative methods
                                  with application to nonlinear PDEs . . . 223--242

Numerical Algorithms
Volume 67, Number 2, October, 2014

                    Wei-Qi Deng   The split common fixed point problem for
                                  infinite families of total
                                  quasi-asymptotically nonexpansive
                                  operators  . . . . . . . . . . . . . . . 243--256
                     Wen Li and   
                      Hua Zheng   Some new error bounds for linear
                                  complementarity problems of $H$-matrices 257--269
           Maxim Derevyagin and   
     Francisco Marcellán   A note on the Geronimus transformation
                                  and Sobolev orthogonal polynomials . . . 271--287
                 D. R. Sahu and   
        Krishna Kumar Singh and   
              Vipin Kumar Singh   A Newton-like method for generalized
                                  operator equations in Banach spaces  . . 289--303
             Petru Jebelean and   
                Constantin Popa   Numerical solutions to singular $
                                  \varphi $-Laplacian with Dirichlet
                                  boundary conditions  . . . . . . . . . . 305--318
                     Zhe Li and   
                         Qi Liu   A heuristic verification of the degree
                                  of the approximate GCD of two univariate
                                  polynomials  . . . . . . . . . . . . . . 319--334
           Theresa Springer and   
                  Karsten Urban   Comparison of the EM algorithm and
                                  alternatives . . . . . . . . . . . . . . 335--364
       José L. Hueso and   
        Eulalia Martínez   Semilocal convergence of a family of
                                  iterative methods in Banach spaces . . . 365--384
                L. Plaskota and   
              G. W. Wasilkowski   Efficient algorithms for multivariate
                                  and $ \infty $-variate integration with
                                  exponential weight . . . . . . . . . . . 385--403
                Hassan Majidian   Modified Euler's method with a graded
                                  mesh for a class of Volterra integral
                                  equations with weakly singular kernel    405--422
              Pouria Assari and   
           Hojatollah Adibi and   
                  Mehdi Dehghan   A meshless method based on the moving
                                  least squares (MLS) approximation for
                                  the numerical solution of
                                  two-dimensional nonlinear integral
                                  equations of the second kind on
                                  non-rectangular domains  . . . . . . . . 423--455
                Zhongdi Cen and   
              Fevzi Erdogan and   
                       Aimin Xu   An almost second order uniformly
                                  convergent scheme for a singularly
                                  perturbed initial value problem  . . . . 457--476

Numerical Algorithms
Volume 67, Number 3, November, 2014

                Yakui Huang and   
                Hongwei Liu and   
                       Sha Zhou   A Barzilai--Borwein type method for
                                  stochastic linear complementarity
                                  problems . . . . . . . . . . . . . . . . 477--489
      Gérard Meurant and   
               Alvise Sommariva   Fast variants of the Golub and Welsch
                                  algorithm for symmetric weight functions
                                  in Matlab  . . . . . . . . . . . . . . . 491--506
             Sebastian Birk and   
                Andreas Frommer   A deflated conjugate gradient method for
                                  multiple right hand sides and multiple
                                  shifts . . . . . . . . . . . . . . . . . 507--529
                Robert Schaback   Greedy sparse linear approximations of
                                  functionals from nodal data  . . . . . . 531--547
                Yen Chi Lun and   
       Fernando Rodrigo Rafaeli   Inequalities for zeros of Jacobi
                                  polynomials via Sturm's theorem:
                                  Gautschi's conjectures . . . . . . . . . 549--563
Gustavo Fernández-Torres   Derivative free iterative methods with
                                  memory of arbitrary high convergence
                                  order  . . . . . . . . . . . . . . . . . 565--580
               Wenting Shao and   
                    Xionghua Wu   A numerical study for the KdV and the
                                  good Boussinesq equations using Fourier
                                  Chebyshev tau meshless method  . . . . . 581--597
                    Bo Song and   
                  Yao-Lin Jiang   Analysis of a new parareal algorithm
                                  based on waveform relaxation method for
                                  time-periodic problems . . . . . . . . . 599--622
          Ali Özyapici and   
               Mustafa Riza and   
       Bülent Bilgehan and   
           Agamirza E. Bashirov   On multiplicative and Volterra
                                  minimization methods . . . . . . . . . . 623--636
            R. I. Okuonghae and   
                M. N. O. Ikhile   Second derivative general linear methods 637--654
Marta García-Esnaola and   
        Juan Manuel Peña   Error bounds for linear complementarity
                                  problems of Nekrasov matrices  . . . . . 655--667
               Peter Benner and   
   Mohammad-Sahadet Hossain and   
                 Tatjana Stykel   Low-rank iterative methods for periodic
                                  projected Lyapunov equations and their
                                  application in model reduction of
                                  periodic descriptor systems  . . . . . . 669--690

Numerical Algorithms
Volume 67, Number 4, December, 2014

           Kendall Atkinson and   
                David Chien and   
                    Olaf Hansen   Evaluating polynomials over the unit
                                  disk and the unit ball . . . . . . . . . 691--711
                  Roman Andreev   Space--time discretization of the heat
                                  equation . . . . . . . . . . . . . . . . 713--731
         Stefan Güttel and   
               Jennifer Pestana   Some observations on weighted GMRES  . . 733--752
      Vishnu Narayan Mishra and   
            Prashantkumar Patel   The Durrmeyer type modification of the
                                  $q$-Baskakov type operators with two
                                  parameter $ \alpha $ and $ \beta $ . . . 753--769
                   Xiang Wu and   
              Kanjian Zhang and   
                   Changyin Sun   Numerical algorithm for a class of
                                  constrained optimal control problems of
                                  switched systems . . . . . . . . . . . . 771--792
            Lj. Cvetkovi\'c and   
              A. Hadjidimos and   
                    V. Kosti\'c   On the choice of parameters in MAOR type
                                  splitting methods for the linear
                                  complementarity problem  . . . . . . . . 793--806
              Laurent Gajny and   
             Olivier Gibaru and   
                     Eric Nyiri   $ L_1 C^1 $ polynomial spline
                                  approximation algorithms for large data
                                  sets . . . . . . . . . . . . . . . . . . 807--826
                 Wei-Si Xie and   
                Yu-Fei Yang and   
                        Bo Zhou   An ADMM algorithm for second-order
                                  TV-based MR image reconstruction . . . . 827--843
                  Huiya Dai and   
                 Leilei Wei and   
                  Xindong Zhang   Numerical algorithm based on an implicit
                                  fully discrete local discontinuous
                                  Galerkin method for the fractional
                                  diffusion-wave equation  . . . . . . . . 845--862
                Boris I. Kvasov   Discrete weighted cubic splines  . . . . 863--888
            Lahcen Laayouni and   
                Daniel B. Szyld   On the performance of the algebraic
                                  optimized Schwarz methods with
                                  applications . . . . . . . . . . . . . . 889--916
           Janak Raj Sharma and   
                   Himani Arora   A novel derivative free algorithm with
                                  seventh order convergence for solving
                                  systems of nonlinear equations . . . . . 917--933


Numerical Algorithms
Volume 68, Number 1, January, 2015

           Calin-Ioan Gheorghiu   Pseudospectral solutions to some
                                  singular nonlinear BVPs  . . . . . . . . 1--14
             Arno Mayrhofer and   
             Martin Ferrand and   
       Christophe Kassiotis and   
             Damien Violeau and   
   François-Xavier Morel   Unified semi-analytical wall boundary
                                  conditions in SPH: analytical extension
                                  to $3$-D . . . . . . . . . . . . . . . . 15--34
      Herbert Dueñas and   
              Luis E. Garza and   
            Miguel Piñar   A higher order Sobolev-type inner
                                  product for orthogonal polynomials in
                                  several variables  . . . . . . . . . . . 35--46
Ángel Alberto Magreñán and   
             Ioannis K. Argyros   An extension of a theorem by Wang for
                                  Smale's $ \alpha $-theory and
                                  applications . . . . . . . . . . . . . . 47--60
                Radoslav Valkov   Convergence of a finite volume element
                                  method for a generalized Black--Scholes
                                  equation transformed on finite interval  61--80
                  Minoo Kamrani   Numerical solution of stochastic
                                  fractional differential equations  . . . 81--93
                  Zhen Chao and   
                  Guoliang Chen   A note on semi-convergence of
                                  generalized parameterized inexact Uzawa
                                  method for singular saddle point
                                  problems . . . . . . . . . . . . . . . . 95--105
                  K. Jbilou and   
                       H. Sadok   Matrix polynomial and epsilon-type
                                  extrapolation methods with applications  107--119
                  Liqi Wang and   
               Moody T. Chu and   
                          Yu Bo   A computational framework of gradient
                                  flows for general linear matrix
                                  equations  . . . . . . . . . . . . . . . 121--141
      Gérard Meurant and   
        Jurjen Duintjer Tebbens   The role eigenvalues play in forming
                                  GMRES residual norms with non-normal
                                  matrices . . . . . . . . . . . . . . . . 143--165
        Benedict Dingfelder and   
              J. A. C. Weideman   An improved Talbot method for numerical
                                  Laplace transform inversion  . . . . . . 167--183
           Andreas Karageorghis   The method of fundamental solutions for
                                  elliptic problems in circular domains
                                  with mixed boundary conditions . . . . . 185--211

Numerical Algorithms
Volume 68, Number 2, February, 2015

               Keyvan Amini and   
              Ahmad Kamandi and   
                Somayeh Bahrami   A double-projection-based algorithm for
                                  large-scale nonlinear systems of
                                  monotone equations . . . . . . . . . . . 213--228
                   Wolfgang Erb   Accelerated Landweber methods based on
                                  co-dilated orthogonal polynomials  . . . 229--260
                Taher Lotfi and   
            Somayeh Sharifi and   
               Mehdi Salimi and   
                Stefan Siegmund   A new class of three-point methods with
                                  optimal convergence order eight and its
                                  dynamics . . . . . . . . . . . . . . . . 261--288
          Vorkady S. Shubha and   
            Santhosh George and   
                      P. Jidesh   A derivative free iterative method for
                                  the implementation of Lavrentiev
                                  regularization method for ill-posed
                                  equations  . . . . . . . . . . . . . . . 289--304
                 Neculai Andrei   A new three-term conjugate gradient
                                  algorithm for unconstrained optimization 305--321
             Alicia Cordero and   
                Taher Lotfi and   
           Parisa Bakhtiari and   
             Juan R. Torregrosa   An efficient two-parametric family with
                                  memory for nonlinear equations . . . . . 323--335
                 Ali Shokri and   
                  Hosein Saadat   High phase-lag order trigonometrically
                                  fitted two-step Obrechkoff methods for
                                  the numerical solution of periodic
                                  initial value problems . . . . . . . . . 337--354
                    Li Yang and   
                      Bo Yu and   
                       YanXi Li   A homotopy method for nonlinear
                                  second-order cone programming  . . . . . 355--365
                Anca Ciurte and   
           Sergiu Nedevschi and   
                      Ioan Rasa   Systems of nonlinear algebraic equations
                                  with unique solution . . . . . . . . . . 367--376
                   Caifang Wang   A parallel strategy and performance
                                  analysis of the EM-like reconstruction
                                  method for diffuse optical tomography    377--391
          Roberto Cavoretto and   
       Gregory E. Fasshauer and   
                Michael McCourt   An introduction to the Hilbert--Schmidt
                                  SVD using iterated Brownian bridge
                                  kernels  . . . . . . . . . . . . . . . . 393--422
       S. Mohammed Hosseini and   
                 Samira Smaeili   Numerical integration of
                                  multi-dimensional highly oscillatory
                                  integrals, based on eRPIM  . . . . . . . 423--442

Numerical Algorithms
Volume 68, Number 3, March, 2015

                    S. Shen and   
                     F. Liu and   
                     Q. Liu and   
                         V. Anh   Numerical simulation of anomalous
                                  infiltration in porous media . . . . . . 443--454
                      Quan Shen   A posteriori error estimates of the
                                  Morley element for the fourth order
                                  elliptic eigenvalue problem  . . . . . . 455--466
                     Chengbo Lu   Some results on certain generalized
                                  circulant matrices . . . . . . . . . . . 467--479
        Saman Babaie-Kafaki and   
                  Reza Ghanbari   A hybridization of the
                                  Polak--Ribi\`ere--Polyak and
                                  Fletcher--Reeves conjugate gradient
                                  methods  . . . . . . . . . . . . . . . . 481--495
              T. M. Dunster and   
                     A. Gil and   
                  J. Segura and   
                    N. M. Temme   Computation of a numerically
                                  satisfactory pair of solutions of the
                                  differential equation for conical
                                  functions of non-negative integer orders 497--509
             S. A. Hosseini and   
               S. Shahmorad and   
                      F. Talati   A matrix based method for two
                                  dimensional nonlinear Volterra--Fredholm
                                  integral equations . . . . . . . . . . . 511--529
                   L. Dykes and   
                S. Noschese and   
                     L. Reichel   Rescaling the GSVD with application to
                                  ill-posed problems . . . . . . . . . . . 531--545
               Alfredo Cano and   
                  Carlos Moreno   A new method for numerical integration
                                  of singular functions on the plane . . . 547--568
                Xiuhua Wang and   
                    Jisheng Kou   Convergence for a class of multi-point
                                  modified Chebyshev--Halley methods under
                                  the relaxed conditions . . . . . . . . . 569--583
           Aleksandr Cariow and   
        Dorota Majorkowska-Mech   Fast algorithm for discrete fractional
                                  Hadamard transform . . . . . . . . . . . 585--600
                 M. Parvizi and   
             M. R. Eslahchi and   
                  Mehdi Dehghan   Numerical solution of fractional
                                  advection--diffusion equation with a
                                  nonlinear source term  . . . . . . . . . 601--629
                 Jian-Jun Zhang   MSSOR-based alternating direction method
                                  for symmetric positive-definite linear
                                  complementarity problems . . . . . . . . 631--644

Numerical Algorithms
Volume 68, Number 4, April, 2015

                  Josip Matejas   Accuracy of one step of the
                                  Falk--Langemeyer method  . . . . . . . . 645--670
                Shuai Huang and   
                  Zhong Wan and   
                  Xiaohong Chen   A new nonmonotone line search technique
                                  for unconstrained optimization . . . . . 671--689
      Sebastian Schmutzhard and   
              Tomasz Hrycak and   
            Hans G. Feichtinger   A numerical study of the
                                  Legendre--Galerkin method for the
                                  evaluation of the prolate spheroidal
                                  wave functions . . . . . . . . . . . . . 691--710
            Natasa Kreji\'c and   
       Natasa Krklec Jerinki\'c   Nonmonotone line search methods with
                                  variable sample size . . . . . . . . . . 711--739
            Somayyeh Fazeli and   
             Gholamreza Hojjati   Numerical solution of Volterra
                                  integro-differential equations by
                                  superimplicit multistep collocation
                                  methods  . . . . . . . . . . . . . . . . 741--768
               M. Garshasbi and   
                     H. Dastour   Estimation of unknown boundary functions
                                  in an inverse heat conduction problem
                                  using a mollified marching scheme  . . . 769--790
               Silvana Ilie and   
         Kenneth R. Jackson and   
               Wayne H. Enright   Adaptive time-stepping for the strong
                                  numerical solution of stochastic
                                  differential equations . . . . . . . . . 791--812
                Carlo Janna and   
         Nicola Castelletto and   
         Massimiliano Ferronato   The effect of graph partitioning
                                  techniques on parallel Block FSAI
                                  preconditioning: a computational study   813--836
                 Tong Zhang and   
                   Xin Zhao and   
                 Pengzhan Huang   Decoupled two level finite element
                                  methods for the steady natural
                                  convection problem . . . . . . . . . . . 837--866
               Fabien Courreges   Design of a discrete algebraic robust
                                  differentiation FIR filter using an
                                  annihilator of the $Z$-transform;
                                  frequency response analysis and
                                  parameter tuning . . . . . . . . . . . . 867--901
                  Juan Geng and   
              Laisheng Wang and   
                    Yanfei Wang   A non-convex algorithm framework based
                                  on DC programming and DCA for matrix
                                  completion . . . . . . . . . . . . . . . 903--921
                      Bo Yu and   
              Xiaoyun Jiang and   
                    Huanying Xu   A novel compact numerical method for
                                  solving the two-dimensional non-linear
                                  fractional reaction-subdiffusion
                                  equation . . . . . . . . . . . . . . . . 923--950


Numerical Algorithms
Volume 69, Number 1, May, 2015

              Zhongxiao Jia and   
                         Hui Lv   A posteriori error estimates of Krylov
                                  subspace approximations to matrix
                                  functions  . . . . . . . . . . . . . . . 1--28
                 B. Akhtari and   
                E. Babolian and   
             A. Foroush Bastani   An adaptive weak continuous
                                  Euler--Maruyama method for stochastic
                                  delay differential equations . . . . . . 29--57
                    Dali Xu and   
                 Jifeng Cui and   
                Shijun Liao and   
                     A. Alsaedi   A HAM-based analytic approach for
                                  physical models with an infinite number
                                  of singularities . . . . . . . . . . . . 59--74
        Francesc Ar\`andiga and   
                  Pep Mulet and   
                   Vicent Renau   Cell average image transform algorithms
                                  with exact error control . . . . . . . . 75--93
      H. A. Jafari-Varzaneh and   
                 S. M. Hosseini   A new map for the Chebyshev
                                  pseudospectral solution of differential
                                  equations with large gradients . . . . . 95--108
           Martin J. Gander and   
                 Olivier Dubois   Optimized Schwarz methods for a
                                  diffusion problem with discontinuous
                                  coefficient  . . . . . . . . . . . . . . 109--144
            Constantin Popa and   
             Tobias Preclik and   
               Ulrich Rüde   Regularized solution of LCP problems
                                  with application to rigid body dynamics  145--156
              Tahereh Eftekhari   A new proof of interval extension of the
                                  classic Ostrowski's method and its
                                  modified method for computing the
                                  enclosure solutions of nonlinear
                                  equations  . . . . . . . . . . . . . . . 157--165
              Tahereh Eftekhari   Erratum to: ``A new proof of interval
                                  extension of the classic Ostrowski's
                                  method and its modified method for
                                  computing the enclosure solutions of
                                  nonlinear equations'' by Tahereh
                                  Eftekhari  . . . . . . . . . . . . . . . 167--167
             Evgenija D. Popova   On the unbounded parametric tolerable
                                  solution set . . . . . . . . . . . . . . 169--182
         Tomás Dzetkulic   Rigorous integration of non-linear
                                  ordinary differential equations in
                                  Chebyshev basis  . . . . . . . . . . . . 183--205
 Hossein Noormohammadi Pour and   
       Hossein Sadeghi Goughery   New Hermitian and skew-Hermitian
                                  splitting methods for non-Hermitian
                                  positive-definite linear systems . . . . 207--225
                       Yuan Lei   The inexact fixed matrix iteration for
                                  solving large linear inequalities in a
                                  least squares sense  . . . . . . . . . . 227--251

Numerical Algorithms
Volume 69, Number 2, June, 2015

              Fredrik Johansson   Rigorous high-precision computation of
                                  the Hurwitz zeta function and its
                                  derivatives  . . . . . . . . . . . . . . 253--270
                  Sergio Blanes   High order structure preserving explicit
                                  methods for solving linear-quadratic
                                  optimal control problems . . . . . . . . 271--290
              John T. Betts and   
        Stephen L. Campbell and   
             Karmethia Thompson   Lobatto IIIA methods, direct
                                  transcription, and DAEs with delays  . . 291--300
            Iman H. Ibrahim and   
                Fatma M. Yousry   Hybrid special class for solving
                                  differential-algebraic equations . . . . 301--320
               Jingjun Zhao and   
                    Yang Xu and   
                   Xindi Li and   
                        Yan Fan   Delay-dependent stability of symmetric
                                  boundary value methods for second order
                                  delay differential equations with three
                                  parameters . . . . . . . . . . . . . . . 321--336
                Zhifeng Dai and   
                    Fenghua Wen   Comments on another hybrid conjugate
                                  gradient algorithm for unconstrained
                                  optimization by Andrei . . . . . . . . . 337--341
               Shaohua Chen and   
                  Lauren DeDieu   A simple moving mesh method for blowup
                                  problems . . . . . . . . . . . . . . . . 343--356
                   Takashi Goda   Fast construction of higher order
                                  digital nets for numerical integration
                                  in weighted Sobolev spaces . . . . . . . 357--396
              Thanh Hieu Le and   
                 Marc Van Barel   An algorithm for decomposing a
                                  non-negative polynomial as a sum of
                                  squares of rational functions  . . . . . 397--413
     Bryan Michael Williams and   
                    Ke Chen and   
               Simon P. Harding   A new constrained total variational
                                  deblurring model and its fast algorithm  415--441
         A. Galántai and   
                      J. Abaffy   Always convergent iteration methods for
                                  nonlinear equations of Lipschitz
                                  functions  . . . . . . . . . . . . . . . 443--453
            Martin H. Gutknecht   Revisiting $ (k, l)$-step methods  . . . 455--469
                 B. Akhtari and   
                E. Babolian and   
             A. Foroush Bastani   Erratum to: An adaptive weak continuous
                                  Euler--Maruyama method for stochastic
                                  delay differential equations . . . . . . 471--472

Numerical Algorithms
Volume 69, Number 3, July, 2015

             Kirk M. Soodhalter   A block MINRES algorithm based on the
                                  band Lanczos method  . . . . . . . . . . 473--494
                   Le Jiang and   
                  Jin Huang and   
              Xiao-Guang Lv and   
                        Jun Liu   Alternating direction method for the
                                  high-order total variation-based Poisson
                                  noise removal problem  . . . . . . . . . 495--516
                    Mircea Ivan   A note on the Hermite interpolation  . . 517--522
Dragomir \vZ. \Dbarokovi\'c and   
             Ilias S. Kotsireas   Some new periodic Golay pairs  . . . . . 523--530
               Sadegh Amiri and   
           S. Mohammad Hosseini   A class of balanced stochastic
                                  Runge--Kutta methods for stiff SDE
                                  systems  . . . . . . . . . . . . . . . . 531--552
             Hong-Xiu Zhong and   
             Guo-Liang Chen and   
                   Xue-Ping Guo   On preconditioned modified Newton--MHSS
                                  method for systems of nonlinear
                                  equations with complex symmetric
                                  Jacobian matrices  . . . . . . . . . . . 553--567
            Fazlollah Soleymani   An efficient and stable Newton-type
                                  iterative method for computing
                                  generalized inverse $ A_{T, S}^{(2)} $   569--578
                 Ai-Li Yang and   
                    Yan Dou and   
                Yu-Jiang Wu and   
                          Xu Li   On generalized parameterized inexact
                                  Uzawa methods for singular saddle-point
                                  problems . . . . . . . . . . . . . . . . 579--593
          Cristinel Mortici and   
             Hari M. Srivastava   A product approximation of the gamma
                                  function . . . . . . . . . . . . . . . . 595--610
           Iván Area and   
        Dimitar K. Dimitrov and   
              Eduardo Godoy and   
                Vanessa Paschoa   Bounds for the zeros of symmetric
                                  Kravchuk polynomials . . . . . . . . . . 611--624
                Pengde Wang and   
                Chengming Huang   A conservative linearized difference
                                  scheme for the nonlinear fractional
                                  Schrödinger equation  . . . . . . . . . . 625--641
                  A. Tocino and   
                M. J. Senosiain   Two-step Milstein schemes for stochastic
                                  differential equations . . . . . . . . . 643--665

Numerical Algorithms
Volume 69, Number 4, August, 2015

Diana Estévez Schwarz and   
             René Lamour   Diagnosis of singular points of
                                  structured DAEs using automatic
                                  differentiation  . . . . . . . . . . . . 667--691
        Vittoria Demichelis and   
                 Matteo Sciarra   Martensen splines and finite-part
                                  integrals  . . . . . . . . . . . . . . . 693--712
                     Jia Wu and   
                Liwei Zhang and   
                       Yi Zhang   An inexact Newton method for stationary
                                  points of mathematical programs
                                  constrained by parameterized
                                  quasi-variational inequalities . . . . . 713--735
                 Neil Greer and   
        Sébastien Loisel   The optimised Schwarz method and the
                                  two-Lagrange multiplier method for
                                  heterogeneous problems in general
                                  domains with two general subdomains  . . 737--762
                   Xiaojing Zhu   A feasible filter method for the nearest
                                  low-rank correlation matrix problem  . . 763--784
        Alicja Smoktunowicz and   
         Agata Smoktunowicz and   
                    Ewa Pawelec   The three-term recursion for Chebyshev
                                  polynomials is mixed forward-backward
                                  stable . . . . . . . . . . . . . . . . . 785--794
               Jincheng Ren and   
                  Guang-hua Gao   Efficient and stable numerical methods
                                  for the two-dimensional fractional
                                  Cattaneo equation  . . . . . . . . . . . 795--818
                Yakui Huang and   
                    Hongwei Liu   A Barzilai--Borwein type method for
                                  minimizing composite functions . . . . . 819--838
                   Y. Zhang and   
                   X. B. Hu and   
                      H. W. Tam   Integrable discretization of nonlinear
                                  Schrödinger equation and its application
                                  with Fourier pseudo-spectral method  . . 839--862
                Yakui Huang and   
                Hongwei Liu and   
                    Weijie Cong   A note on the smoothing quadratic
                                  regularization method for non-Lipschitz
                                  optimization . . . . . . . . . . . . . . 863--874
                    Ling Lu and   
                     Wei Xu and   
                  Sanzheng Qiao   A fast SVD for multilevel block Hankel
                                  matrices with minimal memory storage . . 875--891
           Takumi Yamashita and   
               Kinji Kimura and   
                Yusaku Yamamoto   A new subtraction-free formula for lower
                                  bounds of the minimal singular value of
                                  an upper bidiagonal matrix . . . . . . . 893--912
               Fabien Courreges   Erratum to: Design of a discrete
                                  algebraic robust differentiation FIR
                                  filter using an annihilator of the
                                  $Z$-transform; frequency response
                                  analysis and parameter tuning  . . . . . 913--913


Numerical Algorithms
Volume 70, Number 1, September, 2015

  Erwin Miña-Díaz   On the leading coefficient of
                                  polynomials orthogonal over domains with
                                  corners  . . . . . . . . . . . . . . . . 1--8
                Dominique Orban   Limited-memory LDL$^T$ factorization of
                                  symmetric quasi-definite matrices with
                                  application to constrained optimization  9--41
                  U. Farooq and   
                   T. Hayat and   
                 A. Alsaedi and   
                     S. J. Liao   Series solutions of non-similarity
                                  boundary layer flows of nano-fluids over
                                  stretching surfaces  . . . . . . . . . . 43--59
          Winfried Auzinger and   
                Othmar Koch and   
           Mechthild Thalhammer   Defect-based local error estimators for
                                  high-order splitting methods involving
                                  three linear operators . . . . . . . . . 61--91
                    Wei Liu and   
                    Zhe Yin and   
                         Jin Li   A two-grid algorithm based on expanded
                                  mixed element discretizations for
                                  strongly nonlinear elliptic equations    93--111
              Zhengda Huang and   
                   Xiaoyan Zhou   On the minimum convergence factor of a
                                  class of GSOR-like methods for augmented
                                  systems  . . . . . . . . . . . . . . . . 113--132
                    S. N. Jator   Implicit third derivative
                                  Runge--Kutta--Nyström method with
                                  trigonometric coefficients . . . . . . . 133--150
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   Semi-convergence analysis of the GPIU
                                  method for singular nonsymmetric
                                  saddle-point problems  . . . . . . . . . 151--169
       Tatiana Chernogorova and   
             Lubin Lubin Vulkov   Fitted finite volume positive difference
                                  scheme for a stationary model of air
                                  pollution  . . . . . . . . . . . . . . . 171--189
              Yvonne Percan and   
            Stefan Zellmann and   
                    Ulrich Lang   Asymptotic error of cubic B-spline
                                  interpolation using prefiltering . . . . 191--203
           Javad Abdalkhani and   
                    David Levin   On the choice of $ \beta $ in the
                                  $u$-transformation for convergence
                                  acceleration . . . . . . . . . . . . . . 205--213
                Walter Gautschi   Polynomials orthogonal with respect to
                                  exponential integrals  . . . . . . . . . 215--226

Numerical Algorithms
Volume 70, Number 2, October, 2015

           John Haussermann and   
           Robert A. Van Gorder   Efficient low-error analytical-numerical
                                  approximations for radial solutions of
                                  nonlinear Laplace equations  . . . . . . 227--248
                Saman Ghili and   
             Gianluca Iaccarino   Reusing Chebyshev points for polynomial
                                  interpolation  . . . . . . . . . . . . . 249--267
                    Hao Liu and   
                Haijun Wang and   
               Xiaoyan Qian and   
                       Feng Rao   A conjugate gradient method with
                                  sufficient descent property  . . . . . . 269--286
                  Edvin Deadman   Estimating the condition number of $
                                  f(A)b $  . . . . . . . . . . . . . . . . 287--308
                     Zhe Li and   
                   Haifeng Sang   Verified error bounds for singular
                                  solutions of nonlinear systems . . . . . 309--331
                Haiyun Zhou and   
                   Peiyuan Wang   Some remarks on the paper ``Strong
                                  convergence of a self-adaptive method
                                  for the split feasibility problem''  . . 333--339
              Tingting Chen and   
                     Wen Li and   
                Xianping Wu and   
                  Seakweng Vong   Error bounds for linear complementarity
                                  problems of $ M B $-matrices . . . . . . 341--356
              Xiaofeng Wang and   
                      Tie Zhang   Efficient $n$-point iterative methods
                                  with memory for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 357--375
M. A. Hernández-Verón and   
        Eulalia Martínez   On the semilocal convergence of a three
                                  steps Newton-type iterative process
                                  under mild convergence conditions  . . . 377--392
            Mohamed Achache and   
                Moufida Goutali   Complexity analysis and numerical
                                  implementation of a full-Newton step
                                  interior-point algorithm for LCCO  . . . 393--405
     S. A. Shahzadeh Fazeli and   
                 Nahid Emad and   
                      Zifan Liu   A key to choose subspace size in
                                  implicitly restarted Arnoldi method  . . 407--426
    François Alouges and   
                Matthieu Aussal   The sparse cardinal sine decomposition
                                  and its application for fast numerical
                                  convolution  . . . . . . . . . . . . . . 427--448
                Zhifeng Dai and   
                    Fenghua Wen   Erratum to: ``Comments on another hybrid
                                  conjugate gradient algorithm for
                                  unconstrained optimization by Andrei''   449--450

Numerical Algorithms
Volume 70, Number 3, November, 2015

                        Bin Fan   A hybrid iterative method with averaged
                                  mappings for hierarchical fixed point
                                  problems and variational inequalities    451--467
               Kanae Akaiwa and   
         Yoshimasa Nakamura and   
                Masashi Iwasaki   A finite-step construction of totally
                                  nonnegative matrices with specified
                                  eigenvalues  . . . . . . . . . . . . . . 469--484
             Markus Hegland and   
                  Paul Leopardi   Sparse grid quadrature on products of
                                  spheres  . . . . . . . . . . . . . . . . 485--517
             Galina Filipuk and   
            Maciej Haneczok and   
              Walter Van Assche   Computing recurrence coefficients of
                                  multiple orthogonal polynomials  . . . . 519--543
              Xiaofeng Wang and   
                  Tie Zhang and   
                 Weiyi Qian and   
                   Mingyan Teng   Seventh-order derivative-free iterative
                                  method for solving nonlinear systems . . 545--558
               Keyvan Amini and   
                  Ahmad Kamandi   A new line search strategy for finding
                                  separating hyperplane in
                                  projection-based methods . . . . . . . . 559--570
             J. A. Ezquerro and   
     M. Grau-Sánchez and   
M. A. Hernández-Verón and   
                     M. Noguera   A family of iterative methods that uses
                                  divided differences of first and second
                                  orders . . . . . . . . . . . . . . . . . 571--589
              R. K. Mohanty and   
               Weizhong Dai and   
                        Don Liu   Operator compact method of accuracy two
                                  in time and four in space for the
                                  solution of time dependent
                                  Burgers--Huxley equation . . . . . . . . 591--605
                  J. C. Butcher   The cohesiveness of $G$-symplectic
                                  methods  . . . . . . . . . . . . . . . . 607--624
                 Yuan-Ming Wang   A compact finite difference method for a
                                  class of time fractional
                                  convection-diffusion-wave equations with
                                  variable coefficients  . . . . . . . . . 625--651
              Stef Graillat and   
          Vincent Lef\`evre and   
             Jean-Michel Muller   On the maximum relative error when
                                  computing integer powers by iterated
                                  multiplications in floating-point
                                  arithmetic . . . . . . . . . . . . . . . 653--667
                    Qin Gao and   
              Zhengda Huang and   
                Xiaoliang Cheng   A finite difference method for an
                                  inverse Sturm--Liouville problem in
                                  impedance form . . . . . . . . . . . . . 669--690

Numerical Algorithms
Volume 70, Number 4, December, 2015

               Runchang Lin and   
                  Martin Stynes   A balanced finite element method for a
                                  system of singularly perturbed
                                  reaction-diffusion two-point boundary
                                  value problems . . . . . . . . . . . . . 691--707
           Andrew J. Wathen and   
                   Shengxin Zhu   On spectral distribution of kernel
                                  matrices related to radial basis
                                  functions  . . . . . . . . . . . . . . . 709--726
           Bernard Bialecki and   
                 Lyndsey Wright   A fast direct solver for a fourth order
                                  finite difference scheme for Poisson's
                                  equation on the unit disc in polar
                                  coordinates  . . . . . . . . . . . . . . 727--751
                 Josef Dick and   
              Peter Kritzer and   
              Gunther Leobacher   Numerical integration in log-Korobov and
                                  log-cosine spaces  . . . . . . . . . . . 753--775
Diana Estévez Schwarz and   
             René Lamour   Diagnosis of singular points of properly
                                  stated DAEs using automatic
                                  differentiation  . . . . . . . . . . . . 777--805
       Dalibor Lukás and   
          Petr Kovár and   
Tereza Kovárová and   
                   Michal Merta   A parallel fast boundary element method
                                  using cyclic graph decompositions  . . . 807--824
                   Dawei Lu and   
                      Congxu Ma   Some new quicker continued fraction
                                  approximations for the gamma function
                                  related to the Nemes' formula  . . . . . 825--833
                Taher Lotfi and   
        Fazlollah Soleymani and   
          Mohammad Ghorbanzadeh   On the construction of some
                                  tri-parametric iterative methods with
                                  memory . . . . . . . . . . . . . . . . . 835--845
             Alexey Chernov and   
     Tobias von Petersdorff and   
               Christoph Schwab   Quadrature algorithms for high
                                  dimensional singular integrands on
                                  simplices  . . . . . . . . . . . . . . . 847--874
              Jianhua Zhang and   
                        Hua Dai   A new quasi-minimal residual method
                                  based on a biconjugate
                                  $A$-orthonormalization procedure and
                                  coupled two-term recurrences . . . . . . 875--896
               Zhaoxia Chen and   
                   Zeyu Qiu and   
                    Juan Li and   
                      Xiong You   Two-derivative Runge--Kutta-Nyström
                                  methods for second-order ordinary
                                  differential equations . . . . . . . . . 897--927
        Bartlomiej Jacek Kubica   Presentation of a highly tuned
                                  multithreaded interval solver for
                                  underdetermined and well-determined
                                  nonlinear systems  . . . . . . . . . . . 929--963


Numerical Algorithms
Volume 71, Number 1, January, 2016

         Ioannis K. Argyros and   
Á. Alberto Magreñán   A study on the local convergence and the
                                  dynamics of Chebyshev--Halley-type
                                  methods free from second derivative  . . 1--23
             Mozhgan Bagherboum   Approximating fixed points of mappings
                                  satisfying 1 condition ($E$) in Busemann
                                  space  . . . . . . . . . . . . . . . . . 25--39
       Zvonimir Bujanovi\'c and   
                Daniel Kressner   A block algorithm for computing
                                  antitriangular factorizations of
                                  symmetric matrices . . . . . . . . . . . 41--57
               Jaechoul Lee and   
               Anthony Dini and   
                  William Negri   An efficient generalized least squares
                                  algorithm for periodic trended
                                  regression with autoregressive errors    59--75
       Ljiljana Cvetkovi\'c and   
          Vladimir Kosti\'c and   
                   Ernest Sanca   A wider convergence area for the MSTMAOR
                                  iteration methods for LCP  . . . . . . . 77--88
             Ali R. Soheili and   
            Fazlollah Soleymani   Iterative methods for nonlinear systems
                                  associated with finite difference
                                  approach in stochastic differential
                                  equations  . . . . . . . . . . . . . . . 89--102
              Akira Imakura and   
                     Lei Du and   
                Tetsuya Sakurai   Error bounds of Rayleigh--Ritz type
                                  contour integral-based eigensolver for
                                  solving generalized eigenvalue problems  103--120
   Przemys\law Gospodarczyk and   
      Stanis\law Lewanowicz and   
                  Pawel Wo\'zny   $ G^{k, l}$-constrained multi-degree
                                  reduction of Bézier curves  . . . . . . . 121--137
                Sunil Kumar and   
                   Mukesh Kumar   Analysis of some numerical methods on
                                  layer adapted meshes for singularly
                                  perturbed quasilinear systems  . . . . . 139--150
               A. H. Bhrawy and   
                 M. A. Zaky and   
               R. A. Van Gorder   A space--time Legendre spectral tau
                                  method for the two-sided space--time
                                  Caputo fractional diffusion-wave
                                  equation . . . . . . . . . . . . . . . . 151--180
        Paola F. Antonietti and   
              Carlo Marcati and   
                Ilario Mazzieri   High order discontinuous Galerkin
                                  methods on simplicial elements for the
                                  elastodynamics equation  . . . . . . . . 181--206
            Santos B. Yuste and   
            J. Quintana-Murillo   Fast, accurate and robust adaptive
                                  finite difference methods for fractional
                                  diffusion equations  . . . . . . . . . . 207--228
            Daniel J. Bates and   
           Andrew J. Newell and   
                Matthew Niemerg   BertiniLab: A MATLAB interface for
                                  solving systems of polynomial equations  229--244

Numerical Algorithms
Volume 71, Number 2, February, 2016

              Hung-Yuan Fan and   
        Peter Chang-Yi Weng and   
              Eric King-Wah Chu   Numerical solution to generalized
                                  Lyapunov/Stein and rational Riccati
                                  equations in stochastic control  . . . . 245--272
            Claudia Fassino and   
       Hans Michael Möller   Multivariate polynomial interpolation
                                  with perturbed data  . . . . . . . . . . 273--292
               Dajana Conte and   
        Raffaele D'Ambrosio and   
           Beatrice Paternoster   GPU-acceleration of waveform relaxation
                                  methods for large differential systems   293--310
                Brian C. Fabien   Parallel collocation solution of index-1
                                  BVP--DAEs arising from constrained
                                  optimal control problems . . . . . . . . 311--335
                Ji-Teng Jia and   
                      Su-Mei Li   Numerical algorithm for the determinant
                                  evaluation of cyclic pentadiagonal
                                  matrices with Toeplitz structure . . . . 337--348
Luis Javier Hernández Paricio   Bivariate Newton--Raphson method and
                                  toroidal attraction basins . . . . . . . 349--381
   Sébastien Duminil and   
           Mohammed Heyouni and   
            Philippe Marion and   
                  Hassane Sadok   Algorithms for the CMRH method for dense
                                  linear systems . . . . . . . . . . . . . 383--394
                 Haifeng Ji and   
                 Jinru Chen and   
                      Zhilin Li   A new augmented immersed finite element
                                  method without using SVD interpolations  395--416
                Zhongdi Cen and   
                   Aimin Xu and   
                        Anbo Le   On the hybrid finite difference scheme
                                  for a singularly perturbed Riccati
                                  equation . . . . . . . . . . . . . . . . 417--436
                 Wenjie Liu and   
                 Jiebao Sun and   
                      Boying Wu   Galerkin--Chebyshev spectral method and
                                  block boundary value methods for
                                  two-dimensional semilinear parabolic
                                  equations  . . . . . . . . . . . . . . . 437--455
      Miodrag S. Petkovi\'c and   
               Janak Raj Sharma   On some efficient derivative-free
                                  iterative methods with memory for
                                  solving systems of nonlinear equations   457--474
               Ali Ozyapici and   
           Bülent Bilgehan   Finite product representation via
                                  multiplicative calculus and its
                                  applications to exponential signal
                                  processing . . . . . . . . . . . . . . . 475--489

Numerical Algorithms
Volume 71, Number 3, March, 2016

               Behrouz Kheirfam   An improved full-Newton step $ O(n) $
                                  infeasible interior-point method for
                                  horizontal linear complementarity
                                  problem  . . . . . . . . . . . . . . . . 491--503
         Boles\law Kacewicz and   
             Pawel Przybylowicz   On the optimal robust solution of IVPs
                                  with noisy information . . . . . . . . . 505--518
              Radu Ioan Bot and   
       Ernö Robert Csetnek   An inertial forward-backward-forward
                                  primal-dual splitting algorithm for
                                  solving monotone inclusion problems  . . 519--540
                  Pei-Chang Guo   A modified large-scale
                                  structure-preserving doubling algorithm
                                  for a large-scale Riccati equation from
                                  transport theory . . . . . . . . . . . . 541--552
                Ulrich Abel and   
              Octavian Agratini   Asymptotic behaviour of Jain operators   553--565
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence of multi-point
                                  improved super-Halley-type methods
                                  without the second derivative under
                                  generalized weak condition . . . . . . . 567--584
            Kamen G. Ivanov and   
            Pencho P. Petrushev   Highly effective stable evaluation of
                                  bandlimited functions on the sphere  . . 585--611
                Chaoqian Li and   
                    Hui Pei and   
                  Aning Gao and   
                     Yaotang Li   Improvements on the infinity norm bound
                                  for the inverse of Nekrasov matrices . . 613--630
               Fayyaz Ahmad and   
               Emran Tohidi and   
               Juan A. Carrasco   A parameterized multi-step Newton method
                                  for solving systems of nonlinear
                                  equations  . . . . . . . . . . . . . . . 631--653
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   On SSOR iteration method for a class of
                                  block two-by-two linear systems  . . . . 655--671
         Folkert Bleichrodt and   
        Tristan van Leeuwen and   
          Willem Jan Palenstijn   Easy implementation of advanced
                                  tomography algorithms using the ASTRA
                                  toolbox with Spot operators  . . . . . . 673--697
                K. Castillo and   
        F. Marcellán and   
                  M. N. Rebocho   Zeros of para-orthogonal polynomials and
                                  linear spectral transformations on the
                                  unit circle  . . . . . . . . . . . . . . 699--714

Numerical Algorithms
Volume 71, Number 4, April, 2016

                    Li Ming and   
              Li Chen-liang and   
             Cui Xiang-zhao and   
                     Zhao Jin-e   Cascadic multigrid methods combined with
                                  sixth order compact scheme for Poisson
                                  equation . . . . . . . . . . . . . . . . 715--727
                    S. Amat and   
                J. Liandrat and   
                    J. Ruiz and   
                   J. C. Trillo   On a nonlinear mean and its application
                                  to image compression using
                                  multiresolution schemes  . . . . . . . . 729--752
                    Ke Wang and   
                Jingjing Di and   
                        Don Liu   Improved PHSS iterative methods for
                                  solving saddle point problems  . . . . . 753--773
             Ramandeep Behl and   
             Alicia Cordero and   
               Sandile S. Motsa   An optimal fourth-order family of
                                  methods for multiple roots and its
                                  dynamics . . . . . . . . . . . . . . . . 775--796
             E. M. Ferreira and   
                       J. Sesma   Global solutions of the biconfluent Heun
                                  equation . . . . . . . . . . . . . . . . 797--809
Ángel Alberto Magreñán and   
             Ioannis K. Argyros   Improved convergence analysis for
                                  Newton-like methods  . . . . . . . . . . 811--826
                Saeed Kazem and   
            Edmund Chadwick and   
                  Ali Hatam and   
                  Mehdi Dehghan   Using generating functions to convert an
                                  implicit $ (3, 3) $ finite difference
                                  method to an explicit form on diffusion
                                  equation with different boundary
                                  conditions . . . . . . . . . . . . . . . 827--854
               Truong Nguyen-Ba   On variable step Hermite--Birkhoff
                                  solvers combining multistep and
                                  $4$-stage DIRK methods for stiff ODEs    855--888
             Gerlind Plonka and   
            Katrin Wannenwetsch   A deterministic sparse FFT algorithm for
                                  vectors with small support . . . . . . . 889--905
            Nasser Akhoundi and   
                Iman Alimirzaei   Modify Levinson algorithm for symmetric
                                  positive definite Toeplitz system  . . . 907--913
              Prasit Cholamjiak   A generalized forward-backward splitting
                                  method for solving quasi inclusion
                                  problems in Banach spaces  . . . . . . . 915--932
                  J. P. Jaiswal   Semilocal convergence of an eighth-order
                                  method in Banach spaces and its
                                  computational efficiency . . . . . . . . 933--951


Numerical Algorithms
Volume 72, Number 1, May, 2016

          Winfried Auzinger and   
         Thomas Kassebacher and   
                Othmar Koch and   
           Mechthild Thalhammer   Adaptive splitting methods for nonlinear
                                  Schrödinger equations in the
                                  semiclassical regime . . . . . . . . . . 1--35
                 Zhenhua Xu and   
                 Shuhuang Xiang   On the evaluation of highly oscillatory
                                  finite Hankel transform using special
                                  functions  . . . . . . . . . . . . . . . 37--56
            Rohollah Yousefpour   Combination of steepest descent and BFGS
                                  methods for nonconvex nonsmooth
                                  optimization . . . . . . . . . . . . . . 57--90
                Wenhui Meng and   
                  Liantang Wang   Bounds for truncation errors of Graf's
                                  and Neumann's addition theorems  . . . . 91--106
                 C. S. Chen and   
            A. Karageorghis and   
                         Yan Li   On choosing the location of the sources
                                  in the MFS . . . . . . . . . . . . . . . 107--130
 André Pierro de Camargo   On the numerical stability of
                                  Floater--Hormann's rational interpolant  131--152
 André Pierro de Camargo   Erratum: ``On the numerical stability of
                                  Floater--Hormann's rational
                                  interpolant''  . . . . . . . . . . . . . 153--154
                    Y. Asai and   
                  P. E. Kloeden   Numerical schemes for random ODEs with
                                  affine noise . . . . . . . . . . . . . . 155--171
                 XiaoLiang Dong   Comment on ``A new three-term conjugate
                                  gradient method for unconstrained
                                  problem''  . . . . . . . . . . . . . . . 173--179
                    Qiu Lin and   
                    Ruisheng Qi   Stancu type generalization of the
                                  $q$-Phillips operators . . . . . . . . . 181--193
              Seakweng Vong and   
                    Pin Lyu and   
                    Xu Chen and   
                   Siu-Long Lei   High order finite difference method for
                                  time-space fractional differential
                                  equations with Caputo and
                                  Riemann--Liouville derivatives . . . . . 195--210
           Negin Bagherpour and   
            Nezam Mahdavi-Amiri   A new error in variables model for
                                  solving positive definite linear system
                                  using orthogonal matrix decompositions   211--241
                 Ya-Jun Xie and   
                  Chang-Feng Ma   A modified positive-definite and
                                  skew-Hermitian splitting preconditioner
                                  for generalized saddle point problems
                                  from the Navier--Stokes equation . . . . 243--258

Numerical Algorithms
Volume 72, Number 2, June, 2016

                 Aiguo Xiao and   
                      Xiao Tang   High strong order stochastic
                                  Runge--Kutta methods for Stratonovich
                                  stochastic differential equations with
                                  scalar noise . . . . . . . . . . . . . . 259--296
               Simeon Reich and   
                    Rafal Zalas   A modular string averaging procedure for
                                  solving the common fixed point problem
                                  for quasi-nonexpansive mappings in
                                  Hilbert space  . . . . . . . . . . . . . 297--323
                    Yan Dou and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   Modified parameterized inexact Uzawa
                                  method for singular saddle-point
                                  problems . . . . . . . . . . . . . . . . 325--339
            Marco Donatelli and   
              Thomas Huckle and   
            Mariarosa Mazza and   
                  Debora Sesana   Image deblurring by sparsity constraint
                                  on the Fourier coefficients  . . . . . . 341--361
              Changbum Chun and   
                      Beny Neta   On the new family of optimal eighth
                                  order methods developed by Lotfi et al.  363--376
      M. L. N. Gonçalves   Inexact Gauss--Newton like methods for
                                  injective-overdetermined systems of
                                  equations under a majorant condition . . 377--392
                 Xiuling Hu and   
                     F. Liu and   
                  I. Turner and   
                         V. Anh   An implicit numerical method of a new
                                  time distributed-order and two-sided
                                  space-fractional advection-dispersion
                                  equation . . . . . . . . . . . . . . . . 393--407
                 H. J. Wang and   
                    F. Chen and   
                     H. Liu and   
                        Q. Wang   Incomplete Newton--Ulm method for large
                                  scale nonlinear equations  . . . . . . . 409--424
            Saman Babaie-Kafaki   A modified scaling parameter for the
                                  memoryless BFGS updating formula . . . . 425--433
   M. García-Esnaola and   
              J. M. Peña   $B$-Nekrasov matrices and error bounds
                                  for linear complementarity problems  . . 435--445
                  P. Zhuang and   
                     F. Liu and   
                  I. Turner and   
                         V. Anh   Galerkin finite element method and error
                                  analysis for the fractional cable
                                  equation . . . . . . . . . . . . . . . . 447--466
               Nguyen Buong and   
             Nguyen Song Ha and   
            Nguyen Thi Thu Thuy   A new explicit iteration method for a
                                  class of variational inequalities  . . . 467--481

Numerical Algorithms
Volume 72, Number 3, July, 2016

            Hamid Moghaderi and   
              Mehdi Dehghan and   
                Masoud Hajarian   A fast and efficient two-grid method for
                                  solving $d$-dimensional Poisson
                                  equations  . . . . . . . . . . . . . . . 483--537
             Vahid Morovati and   
           Latif Pourkarimi and   
                Hadi Basirzadeh   Barzilai and Borwein's method for
                                  multiobjective optimization problems . . 539--604
                Ron Goldman and   
                Plamen Simeonov   Novel polynomial Bernstein bases and
                                  Bézier curves based on a general notion
                                  of polynomial blossoming . . . . . . . . 605--634
            Mohamed Kamel Riahi   A new approach to improve
                                  ill-conditioned parabolic optimal
                                  control problem via time domain
                                  decomposition  . . . . . . . . . . . . . 635--666
               Minhong Chen and   
                Qingbiao Wu and   
                    Rongfei Lin   Semilocal convergence analysis for the
                                  modified Newton--HSS method under the
                                  Hölder condition  . . . . . . . . . . . . 667--685
                    Y. Chen and   
                Chang-Ming Chen   Numerical method with high order
                                  accuracy for solving a anomalous
                                  subdiffusion equation  . . . . . . . . . 687--703
                   Ping Yin and   
               Jacques Liandrat   A smooth fictitious
                                  domain/multiresolution method for
                                  elliptic equations on general domains    705--720
           Alfredo N. Iusem and   
   Joaquim J. Júdice and   
            Valentina Sessa and   
               Hanif D. Sherali   On the numerical solution of the
                                  quadratic eigenvalue complementarity
                                  problem  . . . . . . . . . . . . . . . . 721--747
                 L. B. Feng and   
                  P. Zhuang and   
                     F. Liu and   
                  I. Turner and   
                       Y. T. Gu   Finite element method for space-time
                                  fractional diffusion equation  . . . . . 749--767
               Peiyuan Wang and   
                Haiyun Zhou and   
                   Jianjun Zhou   A new convergence theorem of a
                                  projection algorithm with variable steps
                                  for variational inequalities . . . . . . 769--773
         Philipp H. W. Hoffmann   A Hitchhiker's Guide to Automatic
                                  Differentiation  . . . . . . . . . . . . 775--811
               Hong-tao Fan and   
                 Bing Zheng and   
                    Xin-yun Zhu   A relaxed positive semi-definite and
                                  skew-Hermitian splitting preconditioner
                                  for non-Hermitian generalized saddle
                                  point problems . . . . . . . . . . . . . 813--834

Numerical Algorithms
Volume 72, Number 4, August, 2016

                   Y. Shehu and   
               O. S. Iyiola and   
                     C. D. Enyi   An iterative algorithm for solving split
                                  feasibility problems and fixed point
                                  problems in Banach spaces  . . . . . . . 835--864
                   Dawei Lu and   
                 Lixin Song and   
                      Congxu Ma   A quicker continued fraction
                                  approximation of the gamma function
                                  related to the Windschitl's formula  . . 865--874
                    P. Mokhtary   Numerical treatment of a well-posed
                                  Chebyshev Tau method for Bagley--Torvik
                                  equation with high-order of accuracy . . 875--891
         Esmail Hesameddini and   
           Elham Asadollahifard   A new reliable algorithm based on the
                                  sinc function for the time fractional
                                  diffusion equation . . . . . . . . . . . 893--913
                 Ximei Yang and   
               Yinkui Zhang and   
                Hongwei Liu and   
                   Yonggang Pei   A Mizuno--Todd--Ye predictor--corrector
                                  infeasible-interior-point method for
                                  linear programming over symmetric cones  915--936
             Alicia Cordero and   
              Munish Kansal and   
               Vinay Kanwar and   
             Juan R. Torregrosa   A stable class of improved
                                  second-derivative free Chebyshev--Halley
                                  type methods with optimal eighth order
                                  convergence  . . . . . . . . . . . . . . 937--958
                K. Sayevand and   
                  M. R. Rostami   General fractional variational problem
                                  depending on indefinite integrals  . . . 959--987
                Shijun Liao and   
                   Yinlong Zhao   On the method of directly defining
                                  inverse mapping for nonlinear
                                  differential equations . . . . . . . . . 989--1020
         Nicholas J. Higham and   
             Nata\vsa Strabi\'c   Anderson acceleration of the alternating
                                  projections method for computing the
                                  nearest correlation matrix . . . . . . . 1021--1042
             Guangxin Huang and   
             Lothar Reichel and   
                       Feng Yin   On the choice of solution subspace for
                                  nonstationary iterated Tikhonov
                                  regularization . . . . . . . . . . . . . 1043--1063
            Zhang Xiao-yong and   
                     Li Jun-lin   Laguerre approximation with negative
                                  integer and its application for the
                                  delay differential equation  . . . . . . 1065--1087
              Higinio Ramos and   
             Z. Kalogiratou and   
            Th. Monovasilis and   
                    T. E. Simos   An optimized two-step hybrid block
                                  method for solving general second order
                                  initial-value problems . . . . . . . . . 1089--1102
                    Dongdong He   An unconditionally stable spatial
                                  sixth-order CCD--ADI method for the
                                  two-dimensional linear telegraph
                                  equation . . . . . . . . . . . . . . . . 1103--1117


Numerical Algorithms
Volume 73, Number 1, September, 2016

           Calin-Ioan Gheorghiu   Spectral collocation solutions to
                                  systems of boundary layer type . . . . . 1--14
                 Annie Cuyt and   
       Oliver Salazar Celis and   
              Maryna Lukach and   
               Karel in 't Hout   Analytic models for parameter dependency
                                  in option price modelling  . . . . . . . 15--31
          Heinz H. Bauschke and   
           J. Y. Bello Cruz and   
           Tran T. A. Nghia and   
                Hung M. Pha and   
                    Xianfu Wang   Optimal Rates of Linear Convergence of
                                  Relaxed Alternating Projections and
                                  Generalized Douglas--Rachford Methods
                                  for Two Subspaces  . . . . . . . . . . . 33--76
                  Zhen Chao and   
                 Guo-Liang Chen   A generalized modified HSS method for
                                  singular complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 77--89
                   A. H. Bhrawy   A Jacobi spectral collocation method for
                                  solving multi-dimensional nonlinear
                                  fractional sub-diffusion equations . . . 91--113
                   Long Jin and   
                   Yunong Zhang   Continuous and discrete Zhang dynamics
                                  for real-time varying nonlinear
                                  optimization . . . . . . . . . . . . . . 115--140
             Beatriz Campos and   
             Alicia Cordero and   
         Juan R. Torregrosa and   
                    Pura Vindel   Orbits of period two in the family of a
                                  multipoint variant of Chebyshev--Halley
                                  family . . . . . . . . . . . . . . . . . 141--156
             Michael S. Floater   A generalized mean value property for
                                  polyharmonic functions . . . . . . . . . 157--165
           Martin J. Gander and   
           Laurence Halpern and   
        Véronique Martin   A new algorithm based on factorization
                                  for heterogeneous domain decomposition   167--195
              Dang Van Hieu and   
                Le Dung Muu and   
                    Pham Ky Anh   Parallel hybrid extragradient methods
                                  for pseudomonotone equilibrium problems
                                  and nonexpansive mappings  . . . . . . . 197--217
                     Aifan Ling   An inexact non-interior continuation
                                  method for semidefinite programming:
                                  convergence analysis and numerical
                                  results  . . . . . . . . . . . . . . . . 219--244
   Marzieh Dehghani-Madiseh and   
                  Mehdi Dehghan   Parametric AE-solution sets to the
                                  parametric linear systems with multiple
                                  right-hand sides and parametric matrix
                                  equation $ A(p) X = B(p) $ . . . . . . . 245--279
            Daniel J. Bates and   
     Jonathan D. Hauenstein and   
         Matthew E. Niemerg and   
                  Frank Sottile   Software for the Gale transform of
                                  fewnomial systems and a Descartes rule
                                  for fewnomials . . . . . . . . . . . . . 281--304

Numerical Algorithms
Volume 73, Number 2, October, 2016

                     S. Pishbin   Numerical solution and structural
                                  analysis of two-dimensional
                                  integral-algebraic equations . . . . . . 305--322
             Pawel Przybylowicz   Optimal global approximation of
                                  stochastic differential equations with
                                  additive Poisson noise . . . . . . . . . 323--348
         Nicholas J. Higham and   
                 Vanni Noferini   An algorithm to compute the polar
                                  decomposition of a $ 3 \times 3 $ matrix 349--369
           A. Movahedinejad and   
                 G. Hojjati and   
                        A. Abdi   Second derivative general linear methods
                                  with inherent Runge--Kutta stability . . 371--389
                Taher Lotfi and   
              Mehdi Rashidi and   
              Katauoun Mahdiani   A posteriori analysis: error estimation
                                  for the eighth order boundary value
                                  problems in reproducing Kernel space . . 391--406
Douglas S. Gonçalves and   
               Sandra A. Santos   Local analysis of a spectral correction
                                  for the Gauss--Newton model applied to
                                  quadratic residual problems  . . . . . . 407--431
               Yan Mei Chen and   
             Xiao Shan Chen and   
                         Wen Li   On perturbation bounds for orthogonal
                                  projections  . . . . . . . . . . . . . . 433--444
              Mehdi Dehghan and   
         Mostafa Abbaszadeh and   
                  Akbar Mohebbi   Analysis of a meshless method for the
                                  time fractional diffusion-wave equation  445--476
             Patrycja Jaros and   
         \Lukasz Ma\'slanka and   
                  Filip Strobin   Algorithms generating images of
                                  attractors of generalized iterated
                                  function systems . . . . . . . . . . . . 477--499
            Qing-Qing Zheng and   
                  Chang-Feng Ma   Accelerated PMHSS iteration methods for
                                  complex symmetric linear systems . . . . 501--516
                K. Mustapha and   
                B. Abdallah and   
               K. M. Furati and   
                        M. Nour   A discontinuous Galerkin method for time
                                  fractional diffusion equations with
                                  variable coefficients  . . . . . . . . . 517--534
Diana Estévez Schwarz and   
             René Lamour   A new projector based decoupling of
                                  linear DAEs for monitoring singularities 535--565
     Philippos Constantinou and   
        Charalambia Varnava and   
           Christos Xenophontos   An $ h p $ finite element method for
                                  $4$-th order singularly perturbed
                                  problems . . . . . . . . . . . . . . . . 567--590

Numerical Algorithms
Volume 73, Number 3, November, 2016

                Masoud Hajarian   Generalized conjugate direction
                                  algorithm for solving the general
                                  coupled matrix equations over symmetric
                                  matrices . . . . . . . . . . . . . . . . 591--609
               Hartwig Anzt and   
                Edmond Chow and   
                  Jens Saak and   
                  Jack Dongarra   Updating incomplete factorization
                                  preconditioners for model order
                                  reduction  . . . . . . . . . . . . . . . 611--630
               Owe Axelsson and   
              Shiraz Farouq and   
                 Maya Neytcheva   Comparison of preconditioned Krylov
                                  subspace iteration methods for
                                  PDE-constrained optimization problems    631--663
       Apostolos Hadjidimos and   
                Michael Tzoumas   The solution of the linear
                                  complementarity problem by the matrix
                                  analogue of the accelerated
                                  overrelaxation iterative method  . . . . 665--684
                     M. Ghasemi   On using cubic spline for the solution
                                  of problems in calculus of variations    685--710
                  Jiyong Li and   
                   Xianfen Wang   Multi-step hybrid methods for special
                                  second-order differential equations $
                                  y^{''}(t) = f(t, y(t)) $ . . . . . . . . 711--733
    Claude-Pierre Jeannerod and   
             Nicolas Louvet and   
         Jean-Michel Muller and   
                   Antoine Plet   Sharp error bounds for complex
                                  floating-point inversion . . . . . . . . 735--760
                 Chao-Ping Chen   Inequalities and asymptotics for the
                                  Euler--Mascheroni constant based on
                                  DeTemple's result  . . . . . . . . . . . 761--774
              Ana Maria Acu and   
                      Ioan Rasa   New estimates for the differences of
                                  positive linear operators  . . . . . . . 775--789
             Stefania Petra and   
                Constantin Popa   Single projection Kaczmarz extended
                                  algorithms . . . . . . . . . . . . . . . 791--806
        Stephen L. Campbell and   
                  John T. Betts   Comments on direct transcription
                                  solution of DAE constrained optimal
                                  control problems with two discretization
                                  approaches . . . . . . . . . . . . . . . 807--838
                       A. Hajej   Error estimates for approximation
                                  schemes of effective Hamiltonians
                                  arising in stochastic homogenization of
                                  Hamilton--Jacobi equations . . . . . . . 839--868
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Iterative algorithms for solving
                                  variational inequalities and fixed point
                                  problems for asymptotically nonexpansive
                                  mappings in Banach spaces  . . . . . . . 869--906

Numerical Algorithms
Volume 73, Number 4, December, 2016

                 T. Nikazad and   
                   M. Karimpour   Controlling noise error in block
                                  iterative methods  . . . . . . . . . . . 907--925
               Davod Hezari and   
   Davod Khojasteh Salkuyeh and   
               Vahid Edalatpour   A new iterative method for solving a
                                  class of complex symmetric system of
                                  linear equations . . . . . . . . . . . . 927--955
                 Jueyu Wang and   
                     Detong Zhu   Conjugate gradient path method without
                                  line search technique for
                                  derivative-free unconstrained
                                  optimization . . . . . . . . . . . . . . 957--983
                Chaoqian Li and   
                     Yaotang Li   Weakly chained diagonally dominant
                                  $B$-matrices and error bounds for linear
                                  complementarity problems . . . . . . . . 985--998
            Morteza Kimiaei and   
                 Hamid Esmaeili   A trust-region approach with novel
                                  filter adaptive radius for system of
                                  nonlinear equations  . . . . . . . . . . 999--1016
              Munish Kansal and   
                  V. Kanwar and   
                 Saurabh Bhatia   Efficient derivative-free variants of
                                  Hansen--Patrick's family with memory for
                                  solving nonlinear equations  . . . . . . 1017--1036
                       Hao Chen   A splitting preconditioner for implicit
                                  Runge--Kutta discretizations of a
                                  partial differential-algebraic equation  1037--1054
                 R. M. Asharabi   Generalized sinc-Gaussian sampling
                                  involving derivatives  . . . . . . . . . 1055--1072
               Cairong Chen and   
                   Changfeng Ma   A generalization of the HSS-based
                                  sequential two-stage method for solving
                                  non-Hermitian saddle point problems  . . 1073--1090
             N. Kachakhidze and   
               N. Khomeriki and   
                 J. Peradze and   
                   Z. Tsiklauri   Chipot's method for a one-dimensional
                                  Kirchhoff static equation  . . . . . . . 1091--1106
               Quang Van Nguyen   Variable quasi-Bregman monotone
                                  sequences  . . . . . . . . . . . . . . . 1107--1130
   Froilán M. Dopico and   
             Kenet Pomés   Structured condition numbers for linear
                                  systems with parameterized
                                  quasiseparable coefficient matrices  . . 1131--1158
                 Haotao Cai and   
                      Jiafei Qi   A Legendre--Galerkin method for solving
                                  general Volterra functional integral
                                  equations  . . . . . . . . . . . . . . . 1159--1180


Numerical Algorithms
Volume 74, Number 1, January, 2017

             J. M. Carnicer and   
                C. Godés   Interpolation with symmetric polynomials 1--18
               Owe Axelsson and   
              Shiraz Farouq and   
                 Maya Neytcheva   Comparison of preconditioned Krylov
                                  subspace iteration methods for
                                  PDE-constrained optimization problems    19--37
                    Xu Yang and   
                   Xiaojie Wang   A transformed jump-adapted backward
                                  Euler method for jump-extended CIR and
                                  CEV models . . . . . . . . . . . . . . . 39--57
          Miglena N. Koleva and   
         Walter Mudzimbabwe and   
                Lubin G. Vulkov   Fourth-order compact schemes for a
                                  parabolic-ordinary system of European
                                  option pricing liquidity shocks model    59--75
                     A. Gil and   
                  J. Segura and   
                    N. M. Temme   Efficient algorithms for the inversion
                                  of the cumulative central beta
                                  distribution . . . . . . . . . . . . . . 77--91
               Behrouz Kheirfam   An infeasible full-NT step interior
                                  point algorithm for CQSCO  . . . . . . . 93--109
         Marcella Bonazzoli and   
              Francesca Rapetti   High-order finite elements in numerical
                                  electromagnetism: degrees of freedom and
                                  generators in duality  . . . . . . . . . 111--136
                  Hua Zheng and   
                     Wen Li and   
                  Seakweng Vong   A relaxation modulus-based matrix
                                  splitting iteration method for solving
                                  linear complementarity problems  . . . . 137--152
                 Jianyu Pan and   
                 Michael Ng and   
                      Hong Wang   Fast preconditioned iterative methods
                                  for finite volume discretization of
                                  steady-state space-fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 153--173
        Francesc Ar\`andiga and   
                 Rosa Donat and   
         José J. Noguera   Generalizing the ENO--DB2 $p$ transform
                                  using the inverse wavelet transform  . . 175--198
                 Yaotang Li and   
                 Qilong Liu and   
                       Liqun Qi   Programmable criteria for strong $
                                  \mathcal {H} $-tensors . . . . . . . . . 199--221
              P. Rahimkhani and   
               Y. Ordokhani and   
                    E. Babolian   A new operational matrix based on
                                  Bernoulli wavelets for solving
                                  fractional delay differential equations  223--245
 Mukaddes Ökten Turaci and   
               Turgut Özis   Derivation of three-derivative
                                  Runge--Kutta methods . . . . . . . . . . 247--265
               P. L. Ndukum and   
                T. A. Biala and   
                S. N. Jator and   
                  R. B. Adeniyi   On a family of trigonometrically fitted
                                  extended backward differentiation
                                  formulas for stiff and oscillatory
                                  initial value problems . . . . . . . . . 267--287

Numerical Algorithms
Volume 74, Number 2, February, 2017

                Homa Zadvan and   
               Jalil Rashidinia   Non-polynomial spline method for the
                                  solution of two-dimensional linear wave
                                  equations with a nonlinear source term   289--306
              N. D. Boltaev and   
              A. R. Hayotov and   
              Kh. M. Shadimetov   Construction of optimal quadrature
                                  formulas for Fourier coefficients in
                                  Sobolev space $ L_2^{(m)}(0, 1) $  . . . 307--336
           J. Cerdán and   
            J. Marín and   
                         J. Mas   Low-rank updates of balanced incomplete
                                  factorization preconditioners  . . . . . 337--370
                    S. Amat and   
         Ioannis K. Argyros and   
                S. Busquier and   
Á. Alberto Magreñán   Local convergence and the dynamics of a
                                  two-point four parameter Jarratt-like
                                  method under weak conditions . . . . . . 371--391
           Christophe Besse and   
                      Feng Xing   Schwarz waveform relaxation method for
                                  one-dimensional Schrödinger equation with
                                  general potential  . . . . . . . . . . . 393--426
              R. K. Mohanty and   
                    Deepti Kaur   Numerov type variable mesh
                                  approximations for $1$D unsteady
                                  quasi-linear biharmonic problem:
                                  application to Kuramoto--Sivashinsky
                                  equation . . . . . . . . . . . . . . . . 427--459
              Xue-Feng Duan and   
                Chun-Mei Li and   
                Jiao-Fen Li and   
                      Yong Ding   Numerical methods for solving some
                                  matrix feasibility problems  . . . . . . 461--479
             R. M. Asharabi and   
                 H. S. Al-Abbas   Truncation error estimates for
                                  generalized Hermite sampling . . . . . . 481--497
                    Meng Li and   
            Chengming Huang and   
                    Pengde Wang   Galerkin finite element method for
                                  nonlinear fractional Schrödinger
                                  equations  . . . . . . . . . . . . . . . 499--525
        Chiheb Ben Hammouda and   
              Alvaro Moraes and   
            Raúl Tempone   Multilevel hybrid split-step implicit
                                  tau-leap . . . . . . . . . . . . . . . . 527--560
              Jacopo Castellini   Krylov iterative methods for the
                                  geometric mean of two matrices times a
                                  vector . . . . . . . . . . . . . . . . . 561--571
                    Wei Liu and   
                    Xuerong Mao   Almost sure stability of the
                                  Euler--Maruyama method with random
                                  variable stepsize for stochastic
                                  differential equations . . . . . . . . . 573--592
      Kalyanasundaram Madhu and   
           D. K. R. Babajee and   
            Jayakumar Jayaraman   An improvement to double-step Newton
                                  method and its multi-step version for
                                  solving system of nonlinear equations
                                  and its applications . . . . . . . . . . 593--607
                   P. Majee and   
                       C. Nahak   A hybrid viscosity iterative method with
                                  averaged mappings for split equilibrium
                                  problems and fixed point problems  . . . 609--635
                Walter Gautschi   Erratum to: Sub-range Jacobi polynomials 637--637
                  J. P. Jaiswal   Erratum to: Semilocal convergence of an
                                  eighth-order method in Banach spaces and
                                  its computational efficiency . . . . . . 639--641

Numerical Algorithms
Volume 74, Number 3, March, 2017

                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence on a family of
                                  root-finding multi-point methods in
                                  Banach spaces under relaxed continuity
                                  condition  . . . . . . . . . . . . . . . 643--657
              Jin-Liang Yan and   
                 Qian Zhang and   
              Zhi-Yue Zhang and   
                     Dong Liang   A new high-order energy-preserving
                                  scheme for the modified Korteweg--de
                                  Vries equation . . . . . . . . . . . . . 659--674
              Guang-hua Gao and   
                  Zhi-zhong Sun   Two difference schemes for solving the
                                  one-dimensional time distributed-order
                                  fractional wave equations  . . . . . . . 675--697
                  Huipo Liu and   
                  Shuanghu Wang   A two-grid discretization scheme for
                                  optimal control problems of elliptic
                                  equations  . . . . . . . . . . . . . . . 699--716
               Jingwei Deng and   
                Lijing Zhao and   
                     Yujiang Wu   Fast predictor--corrector approach for
                                  the tempered fractional differential
                                  equations  . . . . . . . . . . . . . . . 717--754
         Per Bergström and   
                     Ove Edlund   Robust registration of surfaces using a
                                  refined iterative closest point
                                  algorithm with a trust region approach   755--779
   Davod Khojasteh Salkuyeh and   
                 Mohsen Masoudi   A new relaxed HSS preconditioner for
                                  saddle point problems  . . . . . . . . . 781--795
           Kendall Atkinson and   
                David Chien and   
                    Olaf Hansen   A spectral method for nonlinear elliptic
                                  equations  . . . . . . . . . . . . . . . 797--819
            John W. Pearson and   
              Sheehan Olver and   
                Mason A. Porter   Numerical methods for the computation of
                                  the confluent and Gauss hypergeometric
                                  functions  . . . . . . . . . . . . . . . 821--866
                Zisheng Liu and   
                 Jicheng Li and   
                   Wenbo Li and   
                    Pingfan Dai   A modified greedy analysis pursuit
                                  algorithm for the cosparse analysis
                                  model  . . . . . . . . . . . . . . . . . 867--887
             Jian-Hua Zhang and   
                        Hua Dai   A new block preconditioner for complex
                                  symmetric indefinite linear systems  . . 889--903
              Tommy Elfving and   
       Per Christian Hansen and   
                 Touraj Nikazad   Convergence analysis for column-action
                                  methods in image reconstruction  . . . . 905--924
              Tommy Elfving and   
       Per Christian Hansen and   
                 Touraj Nikazad   Erratum to: Convergence analysis for
                                  column-action methods in image
                                  reconstruction . . . . . . . . . . . . . 925--925
                   Fenghui Wang   On the convergence of CQ algorithm with
                                  variable steps for the split equality
                                  problem  . . . . . . . . . . . . . . . . 927--935
                     Avram Sidi   On a vectorized version of a generalized
                                  Richardson extrapolation process . . . . 937--949

Numerical Algorithms
Volume 74, Number 4, April, 2017

                 S.-S. Chow and   
                    A. Washburn   A shooting like method for non-Darcian
                                  seepage flow problems  . . . . . . . . . 951--966
                   Yaguang Yang   CurveLP --- a MATLAB implementation of
                                  an infeasible interior-point algorithm
                                  for linear programming . . . . . . . . . 967--996
                Chaoqian Li and   
                Pingfan Dai and   
                     Yaotang Li   New error bounds for linear
                                  complementarity problems of Nekrasov
                                  matrices and $B$-Nekrasov matrices . . . 997--1009
                Sergio Amat and   
             Vicente F. Candela   On the convergence of a local third
                                  order shock capturing method for
                                  hyperbolic conservation laws . . . . . . 1011--1028
                Xianfeng Hu and   
                  Mark Iwen and   
                     Hyejin Kim   Rapidly computing sparse Legendre
                                  expansions via sparse Fourier transforms 1029--1059
         Daniele Bertaccini and   
               Fabio Durastante   Solving mixed classical and fractional
                                  partial differential equations using
                                  short-memory principle and approximate
                                  inverses . . . . . . . . . . . . . . . . 1061--1082
           Bernard Bialecki and   
              Ryan I. Fernandes   Alternating direction implicit
                                  orthogonal spline collocation on some
                                  non-rectangular regions with
                                  inconsistent partitions  . . . . . . . . 1083--1100
            Jonathan Calver and   
                  Wayne Enright   Numerical methods for computing
                                  sensitivities for ODEs and DDEs  . . . . 1101--1117
        Ali Foroush Bastani and   
              Davood Damircheli   An adaptive algorithm for solving
                                  stochastic multi-point boundary value
                                  problems . . . . . . . . . . . . . . . . 1119--1143
                  Rezvan Salehi   A meshless point collocation method for
                                  $2$-D multi-term time fractional
                                  diffusion-wave equation  . . . . . . . . 1145--1168
              Changbum Chun and   
                      Beny Neta   Comparative study of eighth-order
                                  methods for finding simple roots of
                                  nonlinear equations  . . . . . . . . . . 1169--1201
              A. Borhanifar and   
               S. Shahmorad and   
                       E. Feizi   A matrix formulated algorithm for
                                  solving parabolic equations with
                                  nonlocal boundary conditions . . . . . . 1203--1221
           Eleonora Messina and   
                Antonia Vecchio   A sufficient condition for the stability
                                  of direct quadrature methods for
                                  Volterra integral equations  . . . . . . 1223--1236
           Claude Brezinski and   
          Michela Redivo-Zaglia   The simplified topological $ \epsilon
                                  $-algorithms: software and applications  1237--1260


Numerical Algorithms
Volume 75, Number 1, May, 2017

       Woula Themistoclakis and   
                 Marc Van Barel   Generalized de la Vallée Poussin
                                  approximations on $ [ - 1, 1] $  . . . . 1--31
               Qin-Qin Shen and   
                   Yang Cao and   
                        Li Wang   Two improvements of the deteriorated PSS
                                  preconditioner for generalized saddle
                                  point problems . . . . . . . . . . . . . 33--54
                    Yang Li and   
                   Xue-Ping Guo   Multi-step modified Newton--HSS methods
                                  for systems of nonlinear equations with
                                  positive definite Jacobian matrices  . . 55--80
            Anastasia Zakharova   Total variation reconstruction from
                                  quadratic measurements . . . . . . . . . 81--92
      Stanis\law Lewanowicz and   
              Pawe\l Keller and   
                 Pawe\l Wo\'zny   Constrained approximation of rational
                                  triangular Bézier surfaces by polynomial
                                  triangular Bézier surfaces  . . . . . . . 93--111
               Komal Bansal and   
                Kapil K. Sharma   Parameter uniform numerical scheme for
                                  time dependent singularly perturbed
                                  convection-diffusion-reaction problems
                                  with general shift arguments . . . . . . 113--145
            A. Q. M. Khaliq and   
                   X. Liang and   
                   K. M. Furati   A fourth-order implicit-explicit scheme
                                  for the space fractional nonlinear
                                  Schrödinger equations . . . . . . . . . . 147--172
         Mostafa Abbaszadeh and   
                  Mehdi Dehghan   An improved meshless method for solving
                                  two-dimensional distributed order
                                  time-fractional diffusion-wave equation
                                  with error estimate  . . . . . . . . . . 173--211
                Sunil Kumar and   
                 Amit Kumar and   
             Ioannis K. Argyros   A new analysis for the Keller--Segel
                                  model of fractional order  . . . . . . . 213--228
              I. K. Argyros and   
M. A. Hernández-Verón and   
                    M. J. Rubio   Convergence of Steffensen's method for
                                  non-differentiable operators . . . . . . 229--244
                   Xue-Yuan Tan   Shifted SSOR-like preconditioner for
                                  non-Hermitian positive definite matrices 245--260
          Winfried Auzinger and   
                Othmar Koch and   
                  Michael Quell   Adaptive high-order splitting methods
                                  for systems of nonlinear evolution
                                  equations with periodic boundary
                                  conditions . . . . . . . . . . . . . . . 261--283
                   O. Abidi and   
                 M. Heyouni and   
                      K. Jbilou   On some properties of the extended block
                                  and global Arnoldi methods with
                                  applications to model reduction  . . . . 285--304
           N. Mahdavi-Amiri and   
                     M. Shaeiri   An adaptive competitive penalty method
                                  for nonsmooth constrained optimization   305--336

Numerical Algorithms
Volume 75, Number 2, June, 2017

                      Anonymous   Special issue: recent progress on
                                  iterative methods for large systems of
                                  equations  . . . . . . . . . . . . . . . 337--338
                     Rui Li and   
                   Jun-Feng Yin   Accelerated modulus-based matrix
                                  splitting iteration methods for a
                                  restricted class of nonlinear
                                  complementarity problems . . . . . . . . 339--358
            Enyinda Onunwor and   
                 Lothar Reichel   On the computation of a truncated SVD of
                                  a large linear discrete ill-posed
                                  problem  . . . . . . . . . . . . . . . . 359--380
               Pengpeng Xie and   
                  Hua Xiang and   
                      Yimin Wei   A contribution to perturbation analysis
                                  for total least squares problems . . . . 381--395
                 Kensuke Aihara   Variants of the groupwise update
                                  strategy for short-recurrence Krylov
                                  subspace methods . . . . . . . . . . . . 397--412
              Akira Imakura and   
                Tetsuya Sakurai   Block Krylov-type complex moment-based
                                  eigensolvers for solving generalized
                                  eigenvalue problems  . . . . . . . . . . 413--433
               Huai-An Diao and   
                  Yimin Wei and   
                   Pengpeng Xie   Small sample statistical condition
                                  estimation for the total least squares
                                  problem  . . . . . . . . . . . . . . . . 435--455
               Keiichi Morikuni   Multistep matrix splitting iteration
                                  preconditioning for singular linear
                                  systems  . . . . . . . . . . . . . . . . 457--475
                   L. Dykes and   
                S. Noschese and   
                     L. Reichel   Circulant preconditioners for discrete
                                  ill-posed Toeplitz systems . . . . . . . 477--490
            J. Marín and   
                     J. Mas and   
                D. Guerrero and   
                      K. Hayami   Updating preconditioners for modified
                                  least squares problems . . . . . . . . . 491--508

Numerical Algorithms
Volume 75, Number 3, July, 2017

              Higinio Ramos and   
            Gurjinder Singh and   
                  V. Kanwar and   
                 Saurabh Bhatia   An embedded $ 3 (2) $ pair of nonlinear
                                  methods for solving first order
                                  initial-value ordinary differential
                                  systems  . . . . . . . . . . . . . . . . 509--529
                Pradip Roul and   
                   Dipak Biswal   A new numerical approach for solving a
                                  class of singular two-point boundary
                                  value problems . . . . . . . . . . . . . 531--552
         Ioannis K. Argyros and   
                Santhosh George   On the convergence of Newton-like
                                  methods using restricted domains . . . . 553--567
                   H. Zhang and   
                     F. Liu and   
                  I. Turner and   
                    S. Chen and   
                        Q. Yang   Numerical simulation of a Finite Moment
                                  Log Stable model for a European call
                                  option . . . . . . . . . . . . . . . . . 569--585
                 Amit Bhaya and   
    Pierre-Alexandre Bliman and   
                 Fernando Pazos   Cooperative concurrent asynchronous
                                  computation of the solution of symmetric
                                  linear systems . . . . . . . . . . . . . 587--617
               Sudeep Kundu and   
              Saumya Bajpai and   
                  Amiya K. Pani   Asymptotic behavior and finite element
                                  error estimates of Kelvin--Voigt
                                  viscoelastic fluid flow model  . . . . . 619--653
                  Ana Marco and   
José-Javier Martínez and   
                   Raquel Viana   Accurate polynomial interpolation by
                                  using the Bernstein basis  . . . . . . . 655--674
                      C.-H. Cho   A numerical algorithm for blow-up
                                  problems revisited . . . . . . . . . . . 675--697
                    Jun Liu and   
              Yao-Lin Jiang and   
                       Yan Wang   A Fast and Stable Algorithm for Linear
                                  Parabolic Partial Differential Equations 699--729
             Franck Delvare and   
              Alain Cimeti\`ere   Unique discrete harmonic continuation
                                  and data completion problems using the
                                  fading regularization method . . . . . . 731--751
               Longbin Zhao and   
                Chengming Huang   An adaptive Filon-type method for
                                  oscillatory integrals without stationary
                                  points . . . . . . . . . . . . . . . . . 753--775
          Andrzej Marciniak and   
   Ma\lgorzata A. Jankowska and   
                Tomasz Hoffmann   On interval predictor--corrector methods 777--808
                 C. Clavero and   
                    J. C. Jorge   A fractional step method for $2$D
                                  parabolic convection-diffusion
                                  singularly perturbed problems: uniform
                                  convergence and order reduction  . . . . 809--826
              Laurent Gajny and   
             Olivier Gibaru and   
                 Eric Nyiri and   
                Shu-Cherng Fang   Best $ L_1 $ approximation of
                                  Heaviside-type functions from Chebyshev
                                  and weak-Chebyshev spaces  . . . . . . . 827--843

Numerical Algorithms
Volume 75, Number 4, August, 2017

              Hong-lin Liao and   
                    Pin Lyu and   
              Seakweng Vong and   
                      Ying Zhao   Stability of fully discrete schemes with
                                  interpolation-type fractional formulas
                                  for distributed-order subdiffusion
                                  equations  . . . . . . . . . . . . . . . 845--878
                    M. Chau and   
                  A. Laouar and   
                  T. Garcia and   
                     P. Spiteri   Grid solution of problem with unilateral
                                  constraints  . . . . . . . . . . . . . . 879--908
              Xianyang Zeng and   
                Hongli Yang and   
                     Xinyuan Wu   An improved tri-coloured rooted-tree
                                  theory and order conditions for ERKN
                                  methods for general multi-frequency
                                  oscillatory systems  . . . . . . . . . . 909--935
              Prabir Daripa and   
                    Aditi Ghosh   The FFTRR-based fast direct algorithms
                                  for complex inhomogeneous biharmonic
                                  problems with applications to
                                  incompressible flows . . . . . . . . . . 937--971
            M. J. Senosiain and   
                      A. Tocino   Two-step strong order $ 1.5 $ schemes
                                  for stochastic differential equations    973--1003
                 Fu-jun Liu and   
                Hui-yuan Li and   
                Zhong-qing Wang   Spectral methods using generalized
                                  Laguerre functions for second and fourth
                                  order problems . . . . . . . . . . . . . 1005--1040
                    M. Jani and   
                E. Babolian and   
                  S. Javadi and   
                      D. Bhatta   Banded operational matrices for
                                  Bernstein polynomials and application to
                                  the fractional advection-dispersion
                                  equation . . . . . . . . . . . . . . . . 1041--1063
               Wataru Takahashi   The split common null point problem for
                                  generalized resolvents in two Banach
                                  spaces . . . . . . . . . . . . . . . . . 1065--1078
               Kanae Akaiwa and   
         Yoshimasa Nakamura and   
            Masashi Iwasaki and   
              Akira Yoshida and   
                   Koichi Kondo   An arbitrary band structure construction
                                  of totally nonnegative matrices with
                                  prescribed eigenvalues . . . . . . . . . 1079--1101
                  Yi-Fen Ke and   
                  Chang-Feng Ma   An inexact modified relaxed splitting
                                  preconditioner for the generalized
                                  saddle point problems from the
                                  incompressible Navier--Stokes equations  1103--1121
               Rui-Ping Wen and   
                Fu-Jiao Ren and   
                   Guo-Yan Meng   Modified quasi-Chebyshev acceleration to
                                  nonoverlapping parallel multisplitting
                                  method . . . . . . . . . . . . . . . . . 1123--1140
               Oliver J. Sutton   The virtual element method in 50 lines
                                  of MATLAB  . . . . . . . . . . . . . . . 1141--1159
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   A generalized variant of the
                                  deteriorated PSS preconditioner for
                                  nonsymmetric saddle point problems . . . 1161--1191
                Stoil I. Ivanov   A unified semilocal convergence analysis
                                  of a family of iterative algorithms for
                                  computing all zeros of a polynomial
                                  simultaneously . . . . . . . . . . . . . 1193--1204


Numerical Algorithms
Volume 76, Number 1, September, 2017

              Marcel Schweitzer   A two-sided short-recurrence extended
                                  Krylov subspace method for nonsymmetric
                                  matrices and its relation to rational
                                  moment matching  . . . . . . . . . . . . 1--31
              Ryo Kobayashi and   
              Takuma Kimura and   
                Shin'ichi Oishi   A method for verifying the accuracy of
                                  numerical solutions of symmetric saddle
                                  point linear systems . . . . . . . . . . 33--51
              Rachid Ait-Haddou   $q$-Blossoming and Hermite--Padé
                                  approximants to the $q$-exponential
                                  function . . . . . . . . . . . . . . . . 53--66
                Ky Anh Pham and   
                 Ngoc Hai Trinh   Splitting extragradient-like algorithms
                                  for strongly pseudomonotone equilibrium
                                  problems . . . . . . . . . . . . . . . . 67--91
               Shi-Liang Wu and   
                     Cui-Xia Li   Modified complex-symmetric and
                                  skew-Hermitian splitting iteration
                                  method for a class of complex-symmetric
                                  indefinite linear systems  . . . . . . . 93--107
           Sascha Wörz and   
                Heinz Bernhardt   A global convergent derivative-free
                                  method for solving a system of
                                  non-linear equations . . . . . . . . . . 109--124
         Lukasz Plociniczak and   
               Szymon Sobieszek   Numerical schemes for
                                  integro-differential equations with
                                  Erdélyi--Kober fractional operator  . . . 125--150
           Robert A. Van Gorder   On the utility of the homotopy analysis
                                  method for non-analytic and global
                                  solutions to nonlinear differential
                                  equations  . . . . . . . . . . . . . . . 151--162
                Ali Baharev and   
               Ferenc Domes and   
                Arnold Neumaier   A robust approach for finding all
                                  well-separated solutions of sparse
                                  systems of nonlinear equations . . . . . 163--189
            Benjamin Kehlet and   
                    Anders Logg   A posteriori error analysis of round-off
                                  errors in the numerical solution of
                                  ordinary differential equations  . . . . 191--210
         Michael A. Jandron and   
           Anthony A. Ruffa and   
                  James Baglama   An asynchronous direct solver for banded
                                  linear systems . . . . . . . . . . . . . 211--235
                      Jiyong Li   Trigonometrically fitted multi-step
                                  Runge--Kutta methods for solving
                                  oscillatory initial value problems . . . 237--258
               Yekini Shehu and   
              Olaniyi S. Iyiola   Strong convergence result for monotone
                                  variational inequalities . . . . . . . . 259--282
                Mona Narang and   
             Saurabh Bhatia and   
                   Vinay Kanwar   New efficient derivative free family of
                                  seventh-order methods for solving
                                  systems of nonlinear equations . . . . . 283--307

Numerical Algorithms
Volume 76, Number 2, October, 2017

M. A. Hernández-Verón and   
    Eulalia Martínez and   
                  Carles Teruel   Semilocal convergence of a $k$-step
                                  iterative process and its application
                                  for solving a special kind of
                                  conservative problems  . . . . . . . . . 309--331
      Gradimir V. Milovanovi\'c   Symbolic--numeric computation of
                                  orthogonal polynomials and Gaussian
                                  quadratures with respect to the cardinal
                                  $B$-spline . . . . . . . . . . . . . . . 333--347
                Sunil Kumar and   
                   Mukesh Kumar   A second order uniformly convergent
                                  numerical scheme for parameterized
                                  singularly perturbed delay differential
                                  problems . . . . . . . . . . . . . . . . 349--360
             Maged Alkilayh and   
             Lothar Reichel and   
                   Jin Yun Yuan   New zero-finders for trust-region
                                  computations . . . . . . . . . . . . . . 361--375
               Rafa\l Nowak and   
                 Pawe\l Wo\'zny   New properties of a certain method of
                                  summation of generalized hypergeometric
                                  series . . . . . . . . . . . . . . . . . 377--391
                  Zhen Wang and   
                     Li Zou and   
                     Yupeng Qin   Piecewise homotopy analysis method and
                                  convergence analysis for formally
                                  well-posed initial value problems  . . . 393--411
                Jing-Tao Li and   
                  Chang-Feng Ma   The parameterized upper and lower
                                  triangular splitting methods for saddle
                                  point problems . . . . . . . . . . . . . 413--425
               Dang Quang A and   
            Dang Quang Long and   
                Ngo Thi Kim Quy   A novel efficient method for nonlinear
                                  boundary value problems  . . . . . . . . 427--439
                   Qi Zhang and   
             Yangzhang Zhao and   
                Jeremy Levesley   Adaptive radial basis function
                                  interpolation using an error indicator   441--471
                Linsen Song and   
                        Yan Gao   A nonsmooth Levenberg--Marquardt method
                                  for vertical complementarity problems    473--485
               Xiaoxu Zhong and   
                    Shijun Liao   On the homotopy analysis method for
                                  backward/forward--backward stochastic
                                  differential equations . . . . . . . . . 487--519
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Viscosity iterative algorithms for fixed
                                  point problems of asymptotically
                                  nonexpansive mappings in the
                                  intermediate sense and variational
                                  inequality problems in Banach spaces . . 521--553
             Antonio Garijo and   
              Xavier Jarque and   
             Jordi Villadelprat   An effective algorithm to compute
                                  Mandelbrot sets in parameter planes  . . 555--571
                   Pu Zhang and   
                         Hai Pu   A second-order compact difference scheme
                                  for the fourth-order fractional
                                  sub-diffusion equation . . . . . . . . . 573--598
             Stefania Petra and   
                Constantin Popa   Erratum to: \booktitleSingle projection
                                  Kaczmarz extended algorithms . . . . . . 599--604

Numerical Algorithms
Volume 76, Number 3, November, 2017

              Yun-Chi Huang and   
                   Siu-Long Lei   A fast numerical method for block lower
                                  triangular Toeplitz with dense Toeplitz
                                  blocks system with applications to
                                  time-space fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 605--616
                 Raoul Bourquin   Algorithms for the construction of
                                  high-order Kronrod rule extensions with
                                  application to sparse-grid integration   617--637
      Cleonice F. Bracciali and   
                 Michael Carley   Quasi-analytical root-finding for
                                  non-polynomial functions . . . . . . . . 639--653
         Rashad M. Asharabi and   
            Mohammed M. Tharwat   Approximating eigenvalues of Dirac
                                  system with discontinuities at several
                                  points using Hermite--Gauss method . . . 655--673
       Abderrahim Messaoudi and   
                  Hassane Sadok   Recursive polynomial interpolation
                                  algorithm (RPIA) . . . . . . . . . . . . 675--694
                     Leilei Wei   Stability and convergence of a fully
                                  discrete local discontinuous Galerkin
                                  method for multi-term time fractional
                                  diffusion equations  . . . . . . . . . . 695--707
                 Phung Van Manh   Hermite interpolation with symmetric
                                  polynomials  . . . . . . . . . . . . . . 709--725
                Guidong Liu and   
                 Shuhuang Xiang   Fast multipole methods for approximating
                                  a function from sampling values  . . . . 727--743
                A. Astorino and   
                M. Gaudioso and   
                     E. Gorgone   A method for convex minimization based
                                  on translated first-order approximations 745--760
                Hongli Yang and   
                  Xianyang Zeng   A feasible and effective technique in
                                  constructing ERKN methods for
                                  multi-frequency multidimensional
                                  oscillators in scientific computation    761--782
                   Nguyen Buong   Iterative algorithms for the
                                  multiple-sets split feasibility problem
                                  in Hilbert spaces  . . . . . . . . . . . 783--798
               Qiao-Li Dong and   
                 Yan-Yan Lu and   
               Jinfeng Yang and   
                    Songnian He   Approximately solving multi-valued
                                  variational inequalities by using a
                                  projection and contraction algorithm . . 799--812
               Yueting Yang and   
                Yuting Chen and   
                     Yunlong Lu   A subspace conjugate gradient algorithm
                                  for large-scale unconstrained
                                  optimization . . . . . . . . . . . . . . 813--828
           Bruno Després   Polynomials with bounds and numerical
                                  approximation  . . . . . . . . . . . . . 829--859

Numerical Algorithms
Volume 76, Number 4, December, 2017

      Mikel Antoñana and   
            Joseba Makazaga and   
                    Ander Murua   Reducing and monitoring round-off error
                                  propagation for symplectic implicit
                                  Runge--Kutta schemes . . . . . . . . . . 861--880
               Peter Benner and   
       Mohammad-Sahadet Hossain   Structure preserving iterative methods
                                  for periodic projected Lyapunov
                                  equations and their application in model
                                  reduction of periodic descriptor systems 881--904
               St. Maruster and   
                    L. Maruster   Local convergence of generalized Mann
                                  iteration  . . . . . . . . . . . . . . . 905--916
             Milena Kresoja and   
             Zorana Luzanin and   
               Irena Stojkovska   Adaptive stochastic approximation
                                  algorithm  . . . . . . . . . . . . . . . 917--937
                   X. Liang and   
            A. Q. M. Khaliq and   
                   H. Bhatt and   
                   K. M. Furati   The locally extrapolated exponential
                                  splitting scheme for multi-dimensional
                                  nonlinear space-fractional Schrödinger
                                  equations  . . . . . . . . . . . . . . . 939--958
                     Achiya Dax   A gradual rank increasing process for
                                  matrix completion  . . . . . . . . . . . 959--976
          Ajeet Singh Verma and   
                  Pankaj Mathur   Polynomial wavelets on the unit circle   977--992
             Jiansong Zhang and   
               Danping Yang and   
                    Hui Guo and   
                         Yan Qu   Parallel algorithm combined with mixed
                                  element procedure for compressible
                                  miscible displacement problem  . . . . . 993--1019
                Min-Li Zeng and   
                 Guo-Feng Zhang   Complex-extrapolated MHSS iteration
                                  method for singular complex symmetric
                                  linear systems . . . . . . . . . . . . . 1021--1037
               Chang-Lin Xu and   
                   Guo-Yin Wang   A novel cognitive transformation
                                  algorithm based on Gaussian cloud model
                                  and its application in image
                                  segmentation . . . . . . . . . . . . . . 1039--1070
           Masoud Ahookhosh and   
                Arnold Neumaier   Optimal subgradient algorithms for
                                  large-scale convex optimization in
                                  simple domains . . . . . . . . . . . . . 1071--1097
                Walter Gautschi   Polynomials orthogonal with respect to
                                  cardinal B-spline weight functions . . . 1099--1107
                William La Cruz   A spectral algorithm for large-scale
                                  systems of nonlinear monotone equations  1109--1130
               Iwona Skalna and   
            Milan Hladík   A new algorithm for Chebyshev
                                  minimum-error multiplication of reduced
                                  affine forms . . . . . . . . . . . . . . 1131--1152


Numerical Algorithms
Volume 77, Number 1, January, 2018

               Ping-Fei Dai and   
               Qing-Biao Wu and   
                  Min-Hong Chen   Modified Newton--NSS method for solving
                                  systems of nonlinear equations . . . . . 1--21
              Dongsheng Guo and   
                 Xinjie Lin and   
                 Zhaozhu Su and   
                   Sibo Sun and   
                  Zhijing Huang   Design and analysis of two discrete-time
                                  ZD algorithms for time-varying nonlinear
                                  minimization . . . . . . . . . . . . . . 23--36
                    Kai Liu and   
                 Xinyuan Wu and   
                        Wei Shi   Extended phase properties and stability
                                  analysis of RKN-type integrators for
                                  solving general oscillatory second-order
                                  initial value problems . . . . . . . . . 37--56
             Boles\law Kacewicz   Adaptive mesh point selection for the
                                  efficient solution of scalar IVPs  . . . 57--75
           Calin-Ioan Gheorghiu   On the numerical treatment of the
                                  eigenparameter dependent boundary
                                  conditions . . . . . . . . . . . . . . . 77--93
                     Ali Shokri   A new eight-order symmetric two-step
                                  multiderivative method for the numerical
                                  solution of second-order IVPs with
                                  oscillating solutions  . . . . . . . . . 95--109
     Hassan Khosravian-Arab and   
              Mehdi Dehghan and   
                 M. R. Eslahchi   A new approach to improve the order of
                                  approximation of the Bernstein
                                  operators: theory and applications . . . 111--150
                  Liyun Zuo and   
                    Guangzhi Du   A parallel two-grid linearized method
                                  for the coupled Navier--Stokes--Darcy
                                  problem  . . . . . . . . . . . . . . . . 151--165
                  Jing Wang and   
               Xue-Ping Guo and   
                 Hong-Xiu Zhong   MN-DPMHSS iteration method for systems
                                  of nonlinear equations with block
                                  two-by-two complex Jacobian matrices . . 167--184
          Christian Bargetz and   
               Simeon Reich and   
                    Rafal Zalas   Convergence properties of dynamic
                                  string-averaging projection methods in
                                  the presence of perturbations  . . . . . 185--209
     Hamid Reza Tabrizidooz and   
           Khadigeh Shabanpanah   Bernstein polynomial basis for numerical
                                  solution of boundary value problems  . . 211--228
                    Lei Gao and   
               Yaqiang Wang and   
                    Chaoqian Li   New error bounds for the linear
                                  complementarity problem of QN-matrices   229--242
                  Wenwu Gao and   
                      Ran Zhang   Multiquadric trigonometric spline
                                  quasi-interpolation for numerical
                                  differentiation of noisy data: a
                                  stochastic perspective . . . . . . . . . 243--259
               Jorge Duarte and   
   Cristina Januário and   
               Nuno Martins and   
           C. Correia Ramos and   
            Carla Rodrigues and   
         Josep Sardanyés   Optimal homotopy analysis of a chaotic
                                  HIV-1 model incorporating AIDS-related
                                  cancer cells . . . . . . . . . . . . . . 261--288
                K. R. Kazmi and   
                  Rehan Ali and   
                    Mohd Furkan   Krasnoselski--Mann type iterative method
                                  for hierarchical fixed point problem and
                                  split mixed equilibrium problem  . . . . 289--308
                 B. Despres and   
                       M. Herda   Correction to: Polynomials with bounds
                                  and numerical approximation  . . . . . . 309--311

Numerical Algorithms
Volume 77, Number 2, February, 2018

                   Ali Aral and   
              Gulsum Ulusoy and   
                  Emre Den\.\iz   A new construction of Szász--Mirakyan
                                  operators  . . . . . . . . . . . . . . . 313--326
           Adhemar Bultheel and   
 Juan Carlos Santos-León   Properties of interpolatory quadrature
                                  with equidistant nodes on the unit
                                  circle . . . . . . . . . . . . . . . . . 327--359
                Tom Duchamp and   
                   Gang Xie and   
                      Thomas Yu   Smoothing nonlinear subdivision schemes
                                  by averaging . . . . . . . . . . . . . . 361--379
                   K. Sadri and   
                   A. Amini and   
                       C. Cheng   A new numerical method for delay and
                                  advanced integro-differential equations  381--412
                 Neculai Andrei   An adaptive scaled BFGS method for
                                  unconstrained optimization . . . . . . . 413--432
              Gasper Jaklic and   
                   Jernej Kozak   On parametric polynomial circle
                                  approximation  . . . . . . . . . . . . . 433--450
                Ju-Li Zhang and   
               Hong-Tao Fan and   
                  Chuan-Qing Gu   An improved block splitting
                                  preconditioner for complex symmetric
                                  indefinite linear systems  . . . . . . . 451--478
   Raweerote Suparatulatorn and   
    Watcharaporn Cholamjiak and   
                 Suthep Suantai   A modified $S$-iteration process for
                                  $G$-nonexpansive mappings in Banach
                                  spaces with graphs . . . . . . . . . . . 479--490
           Bernard Bialecki and   
           Andreas Karageorghis   A Legendre spectral quadrature Galerkin
                                  method for the Cauchy--Navier equations
                                  of elasticity with variable coefficients 491--516
               Mohamed El-Gamel   Error analysis of sinc-Galerkin method
                                  for time-dependent partial differential
                                  equations  . . . . . . . . . . . . . . . 517--533
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Strong convergence results for
                                  variational inequalities and fixed point
                                  problems using modified viscosity
                                  implicit rules . . . . . . . . . . . . . 535--558
              Tsung-Lin Lee and   
               Tien-Yien Li and   
                 Zhonggang Zeng   RankRev: a Matlab package for computing
                                  the numerical rank and
                                  updating/downdating  . . . . . . . . . . 559--576
           Hessah Alqahtani and   
                 Lothar Reichel   Simplified anti-Gauss quadrature rules
                                  with applications in linear algebra  . . 577--602
       Guillermo Navas-Palencia   Fast and accurate algorithm for the
                                  generalized exponential integral $ E_\nu
                                  (x) $ for positive real order  . . . . . 603--630
                     Zhe Li and   
               Baocheng Wan and   
                     Ruimei Gao   Verified error bounds for eigenvalues of
                                  geometric multiplicity $q$ and
                                  corresponding invariant subspaces  . . . 631--652

Numerical Algorithms
Volume 77, Number 3, March, 2018

               Kaizhan Huai and   
                Mingfang Ni and   
                  Zhanke Yu and   
                Xiang Zheng and   
                        Feng Ma   A generalized inexact Uzawa method for
                                  stable principal component pursuit
                                  problem with nonnegative constraints . . 653--674
                     Leilei Wei   Analysis of a new finite
                                  difference/local discontinuous Galerkin
                                  method for the fractional Cattaneo
                                  equation . . . . . . . . . . . . . . . . 675--690
          Alexander Belyaev and   
           Pierre-Alain Fayolle   On modified Gordon--Wixom interpolation
                                  schemes and their applications to
                                  nonlinear and exterior domain problems   691--708
                 H.-S. Chen and   
                S.-L. Chang and   
                 B.-W. Jeng and   
                    C.-S. Chien   Continuation and stability analysis for
                                  Bloch waves of the Gross--Pitaevskii
                                  equation . . . . . . . . . . . . . . . . 709--726
    Kritsada Lerkchaiyaphum and   
           Withun Phuengrattana   Iterative approaches to solving convex
                                  minimization problems and fixed point
                                  problems in complete CAT(0) spaces . . . 727--740
                Do Sang Kim and   
                   Bui Van Dinh   Parallel extragradient algorithms for
                                  multiple set split equilibrium problems
                                  in Hilbert spaces  . . . . . . . . . . . 741--761
              Zohreh Asgari and   
                 S. M. Hosseini   Efficient numerical schemes for the
                                  solution of generalized time fractional
                                  Burgers type equations . . . . . . . . . 763--792
                  Fuat Usta and   
                Jeremy Levesley   Multilevel quasi-interpolation on a
                                  sparse grid with the Gaussian  . . . . . 793--808
                     M. Ghasemi   A new efficient DQ algorithm for the
                                  solution of elliptic problems in higher
                                  dimensions . . . . . . . . . . . . . . . 809--829
                 James Hook and   
                Nicholas Dingle   Performance analysis of asynchronous
                                  parallel Jacobi  . . . . . . . . . . . . 831--866
                Hassan Majidian   Automatic computing of oscillatory
                                  integrals  . . . . . . . . . . . . . . . 867--884
                A. S. Hendy and   
           R. H. De Staelen and   
                  V. G. Pimenov   A semi-linear delayed diffusion-wave
                                  system with distributed order in time    885--903
                     Rong Huang   On the sensitivity of generators for the
                                  $ Q R $ factorization of quasiseparable
                                  matrices with total nonpositivity  . . . 905--924
                   Fenghui Wang   Polyak's gradient method for split
                                  feasibility problem constrained by level
                                  sets . . . . . . . . . . . . . . . . . . 925--938
                    Y. Chen and   
                Chang-Ming Chen   Numerical algorithm for solving the
                                  Stokes' first problem for a heated
                                  generalized second grade fluid with
                                  fractional derivative  . . . . . . . . . 939--953

Numerical Algorithms
Volume 77, Number 4, April, 2018

          Mariarosaria Rizzardi   Detection of the singularities of a
                                  complex function by numerical
                                  approximations of its Laurent
                                  coefficients . . . . . . . . . . . . . . 955--982
                  Dang Van Hieu   Convergence analysis of a new algorithm
                                  for strongly pseudomontone equilibrium
                                  problems . . . . . . . . . . . . . . . . 983--1001
         Dusan Lj. Djuki\'c and   
       Aleksandar V. Pejcev and   
          Miodrag M. Spalevi\'c   The error bounds of Gauss--Kronrod
                                  quadrature formulae for weight functions
                                  of Bernstein--Szeg\Ho type . . . . . . . 1003--1028
            Frida Svelander and   
              Gustav Kettil and   
              Tomas Johnson and   
               Andreas Mark and   
                Anders Logg and   
                Fredrik Edelvik   Robust intersection of structured
                                  hexahedral meshes and degenerate
                                  triangle meshes with volume fraction
                                  applications . . . . . . . . . . . . . . 1029--1068
               A. Messaoudi and   
                  R. Sadaka and   
                       H. Sadok   New algorithm for computing the Hermite
                                  interpolation polynomial . . . . . . . . 1069--1092
             Lajos Lóczi   Exact optimal values of step-size
                                  coefficients for boundedness of linear
                                  multistep methods  . . . . . . . . . . . 1093--1116
          Relja Vulanovi\'c and   
           Thái Anh Nhan   A numerical method for stationary shock
                                  problems with monotonic solutions  . . . 1117--1139
                     Dan Gordon   A derandomization approach to recovering
                                  bandlimited signals across a wide range
                                  of random sampling rates . . . . . . . . 1141--1157
                     Dan Li and   
                     Detong Zhu   An affine scaling interior trust-region
                                  method combining with line search filter
                                  technique for optimization subject to
                                  bounds on variables  . . . . . . . . . . 1159--1182
               Wei-wei Yang and   
                         Qin Ni   A cubically convergent method for
                                  solving the largest eigenvalue of a
                                  nonnegative irreducible tensor . . . . . 1183--1197
              Mathew Baxter and   
   Mangalagama Dewasurendra and   
         Kuppalapalle Vajravelu   A method of directly defining the
                                  inverse mapping for solutions of coupled
                                  systems of nonlinear differential
                                  equations  . . . . . . . . . . . . . . . 1199--1211
          Marie-Laurence Mazure   Piecewise Chebyshevian splines:
                                  interpolation versus design  . . . . . . 1213--1247
             Ramandeep Behl and   
             Alicia Cordero and   
           Sandile S. Motsa and   
             Juan R. Torregrosa   An eighth-order family of optimal
                                  multiple root finders and its dynamics   1249--1272
                 Neculai Andrei   A Dai--Liao conjugate gradient algorithm
                                  with clustering of eigenvalues . . . . . 1273--1282
              P. Rahimkhani and   
               Y. Ordokhani and   
                    E. Babolian   Müntz--Legendre wavelet operational
                                  matrix of fractional-order integration
                                  and its applications for solving the
                                  fractional pantograph differential
                                  equations  . . . . . . . . . . . . . . . 1283--1305


Numerical Algorithms
Volume 78, Number 1, May, 2018

            Benjamin W. Ong and   
               Bankim C. Mandal   Pipeline implementations of
                                  Neumann--Neumann and Dirichlet--Neumann
                                  waveform relaxation methods  . . . . . . 1--20
                 Zexian Liu and   
                    Hongwei Liu   An efficient gradient method with
                                  approximate optimal stepsize for
                                  large-scale unconstrained optimization   21--39
         Abdelkrim El Mouatasim   Implementation of reduced gradient with
                                  bisection algorithms for non-convex
                                  optimization problem via stochastic
                                  perturbation . . . . . . . . . . . . . . 41--62
      Mikel Antoñana and   
            Joseba Makazaga and   
                    Ander Murua   Efficient implementation of symplectic
                                  implicit Runge--Kutta schemes with
                                  simplified Newton iterations . . . . . . 63--86
             Xiang-Ke Chang and   
                      Yi He and   
               Xing-Biao Hu and   
                     Shi-Hao Li   A new integrable convergence
                                  acceleration algorithm for computing
                                  Brezinski--Durbin--Redivo--Zaglia's
                                  sequence transformation via pfaffians    87--106
                Tongke Wang and   
                Yuesheng Gu and   
                   Zhiyue Zhang   An algorithm for the inversion of
                                  Laplace transforms using Puiseux
                                  expansions . . . . . . . . . . . . . . . 107--132
             Gerlind Plonka and   
        Katrin Wannenwetsch and   
                 Annie Cuyt and   
                   Wen-shin Lee   Deterministic sparse FFT for $M$-sparse
                                  vectors  . . . . . . . . . . . . . . . . 133--159
                 Jingshi Li and   
              Xiaoshen Wang and   
                      Kai Zhang   An efficient alternating direction
                                  method of multipliers for optimal
                                  control problems constrained by random
                                  Helmholtz equations  . . . . . . . . . . 161--191
                   M. Abbas and   
              M. AlShahrani and   
               Q. H. Ansari and   
               O. S. Iyiola and   
                       Y. Shehu   Iterative methods for solving proximal
                                  split minimization problems  . . . . . . 193--215
                 D. Barrera and   
                 C. Dagnino and   
 M. J. Ibáñez and   
                     S. Remogna   Trivariate near-best blending spline
                                  quasi-interpolation operators  . . . . . 217--241
               J. M. Franco and   
               L. Rández   An eighth-order exponentially fitted
                                  two-step hybrid method of explicit type
                                  for solving orbital and oscillatory
                                  problems . . . . . . . . . . . . . . . . 243--262
              Ya-zheng Dang and   
                   Jian Yao and   
                        Yan Gao   Relaxed two points projection method for
                                  solving the multiple-sets split equality
                                  problem  . . . . . . . . . . . . . . . . 263--275
                 Qing Zhang and   
                  Haiyan Su and   
                   Xinlong Feng   A partitioned finite element scheme
                                  based on Gauge--Uzawa method for
                                  time-dependent MHD equations . . . . . . 277--295
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   A modified generalized shift-splitting
                                  preconditioner for nonsymmetric saddle
                                  point problems . . . . . . . . . . . . . 297--331
     Massimiliano Ferronato and   
                   Giorgio Pini   A supernodal block factorized sparse
                                  approximate inverse for non-symmetric
                                  linear systems . . . . . . . . . . . . . 333--354

Numerical Algorithms
Volume 78, Number 2, June, 2018

Diana Estévez Schwarz and   
             René Lamour   A new approach for computing consistent
                                  initial values and Taylor coefficients
                                  for DAEs using projector-based
                                  constrained optimization . . . . . . . . 355--377
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   Semi-convergence analysis of
                                  preconditioned deteriorated PSS
                                  iteration method for singular saddle
                                  point problems . . . . . . . . . . . . . 379--404
               P. Bakhtiari and   
              S. Abbasbandy and   
               R. A. Van Gorder   Solving the Dym initial value problem in
                                  reproducing kernel space . . . . . . . . 405--421
             Evgenija D. Popova   Enclosing the solution set of parametric
                                  interval matrix equation $ A(p) X = B(p)
                                  $  . . . . . . . . . . . . . . . . . . . 423--447
              Laurent Gajny and   
             Olivier Gibaru and   
                     Eric Nyiri   $ L_1 $ spline fits via sliding window
                                  process: continuous and discrete cases   449--464
                Xiaowei Liu and   
                      Jin Zhang   Pointwise estimates of SDFEM on Shishkin
                                  triangular meshes for problems with
                                  characteristic layers  . . . . . . . . . 465--483
                    Pin Lyu and   
                  Seakweng Vong   A linearized second-order scheme for
                                  nonlinear time fractional Klein--Gordon
                                  type equations . . . . . . . . . . . . . 485--511
                    Si Wang and   
             Ting-Zhu Huang and   
                 Xi-Le Zhao and   
                Jin-Jin Mei and   
                      Jie Huang   Speckle noise removal in ultrasound
                                  images by first- and second-order total
                                  variation  . . . . . . . . . . . . . . . 513--533
         M. Sayadi Shahraki and   
                H. Mansouri and   
              M. Zangiabadi and   
               N. Mahdavi-Amiri   A wide neighborhood primal-dual
                                  predictor-corrector interior-point
                                  method for symmetric cone optimization   535--552
                     Hao Li and   
                      Yidu Yang   $ C^0 $ IPG adaptive algorithms for the
                                  biharmonic eigenvalue problem  . . . . . 553--567
                Yun-Bo Yang and   
                  Yao-Lin Jiang   An explicitly uncoupled VMS
                                  stabilization finite element method for
                                  the time-dependent Darcy--Brinkman
                                  equations in double-diffusive convection 569--597
                   Qian Guo and   
                Xuerong Mao and   
                   Rongxian Yue   The truncated Euler--Maruyama method for
                                  stochastic differential delay equations  599--624
             A. Galántai   Always convergent methods for nonlinear
                                  equations of several variables . . . . . 625--641
                 X. Y. Xiao and   
                        X. Wang   A new single-step iteration method for
                                  solving complex symmetric linear systems 643--660
             Giampietro Allasia   Remarkable Haar spaces of multivariate
                                  piecewise polynomials  . . . . . . . . . 661--672

Numerical Algorithms
Volume 78, Number 3, July, 2018

                  Jiyong Li and   
                  Shuo Deng and   
                   Xianfen Wang   Extended explicit pseudo two-step RKN
                                  methods for oscillatory systems $ y'' +
                                  M y = f(y) $ . . . . . . . . . . . . . . 673--700
       Erna Begovi\'c Kovac and   
                    Vjeran Hari   Jacobi method for symmetric $ 4 \times 4
                                  $ matrices converges for every cyclic
                                  pivot strategy . . . . . . . . . . . . . 701--720
               Wenling Zhao and   
               Changyu Wang and   
                      Yajing Gu   On the convergence of $s$-dependent GFR
                                  conjugate gradient method for
                                  unconstrained optimization . . . . . . . 721--738
         Abdellatif Moudafi and   
                    Aviv Gibali   $ l_1 $--$ l_2 $ regularization of split
                                  feasibility problems . . . . . . . . . . 739--757
              Roger Behling and   
José Yunier Bello Cruz and   
             Luiz-Rafael Santos   Circumcentering the Douglas--Rachford
                                  method . . . . . . . . . . . . . . . . . 759--776
                A. Ben Abda and   
                      F. Khayat   Missing boundary data recovery using
                                  Nash games: the Stokes system  . . . . . 777--803
                  Anat Amir and   
                    David Levin   Quasi-interpolation and outliers removal 805--825
       Nuttapol Pakkaranang and   
                 Poom Kumam and   
                    Yeol Je Cho   Proximal point algorithms for solving
                                  convex minimization problem and common
                                  fixed points problem of asymptotically
                                  quasi-nonexpansive mappings in CAT(0)
                                  spaces with convergence analysis . . . . 827--845
      Miodrag S. Petkovi\'c and   
         Ljiljana D. Petkovi\'c   Dynamic study of Schröder's families of
                                  first and second kind  . . . . . . . . . 847--865
               Fayyaz Ahmad and   
     Eman Salem Al-Aidarous and   
    Dina Abdullah Alrehaili and   
     Sven-Erik Ekström and   
             Isabella Furci and   
        Stefano Serra-Capizzano   Are the eigenvalues of preconditioned
                                  banded symmetric Toeplitz matrices known
                                  in almost closed form? . . . . . . . . . 867--893
             Jian-Jun Zhang and   
              Jian-Li Zhang and   
                    Wan-Zhou Ye   An inexact alternating direction method
                                  of multipliers for the solution of
                                  linear complementarity problems arising
                                  from free boundary problems  . . . . . . 895--910
        Saman Babaie-Kafaki and   
                   Saeed Rezaee   Two accelerated nonmonotone adaptive
                                  trust region line search methods . . . . 911--928
            Rainer Hartmann and   
               Christoph Pflaum   A prewavelet-based algorithm for the
                                  solution of second-order elliptic
                                  differential equations with variable
                                  coefficients on sparse grids . . . . . . 929--956
   S. González-Pinto and   
                  E. Hairer and   
  D. Hernández-Abreu and   
S. Pérez-Rodríguez   PDE-W-methods for parabolic problems
                                  with mixed derivatives . . . . . . . . . 957--981
             David A. Brown and   
                 Siva Nadarajah   Inexactly constrained discrete adjoint
                                  approach for steepest descent-based
                                  optimization algorithms  . . . . . . . . 983--1000

Numerical Algorithms
Volume 78, Number 4, August, 2018

            Florian Bünger   Shrink wrapping for Taylor models
                                  revisited  . . . . . . . . . . . . . . . 1001--1017
     Pongsakorn Sunthrayuth and   
              Prasit Cholamjiak   Iterative methods for solving
                                  quasi-variational inclusion and fixed
                                  point problem in $q$-uniformly smooth
                                  Banach spaces  . . . . . . . . . . . . . 1019--1044
           Duong Viet Thong and   
                  Dang Van Hieu   Weak and strong convergence theorems for
                                  variational inequality problems  . . . . 1045--1060
               Ambit Kumar Pany   Fully discrete second-order backward
                                  difference method for Kelvin--Voigt
                                  fluid flow model . . . . . . . . . . . . 1061--1086
       Tatjana V. Tomovi\'c and   
             Marija P. Stani\'c   Construction of the optimal set of two
                                  or three quadrature rules in the sense
                                  of Borges  . . . . . . . . . . . . . . . 1087--1109
   R. Díaz Millán   Two algorithms for solving systems of
                                  inclusion problems . . . . . . . . . . . 1111--1127
                Tony Stillfjord   Adaptive high-order splitting schemes
                                  for large-scale differential Riccati
                                  equations  . . . . . . . . . . . . . . . 1129--1151
           Zeynab Jouymandi and   
               Fridoun Moradlou   Retraction algorithms for solving
                                  variational inequalities, pseudomonotone
                                  equilibrium problems, and fixed-point
                                  problems in Banach spaces  . . . . . . . 1153--1182
              Lubomir Kolev and   
                   Iwona Skalna   Exact solution to a parametric linear
                                  programming problem  . . . . . . . . . . 1183--1194
                 Yanzhi Liu and   
              Jason Roberts and   
                      Yubin Yan   Detailed error analysis for a fractional
                                  Adams method with graded meshes  . . . . 1195--1216
                 Jifeng Cui and   
                Wenyu Zhang and   
                   Zeng Liu and   
                  Jianglong Sun   On the limit cycles, period-doubling,
                                  and quasi-periodic solutions of the
                                  forced Van der Pol--Duffing oscillator   1217--1231
                    Chao Gu and   
                 Detong Zhu and   
                   Yonggang Pei   A new inexact SQP algorithm for
                                  nonlinear systems of mixed equalities
                                  and inequalities . . . . . . . . . . . . 1233--1253
               Shengwei Yao and   
                 Donglei He and   
                      Lihua Shi   An improved Perry conjugate gradient
                                  method with adaptive parameter choice    1255--1269
               Baohua Huang and   
                   Changfeng Ma   An iterative algorithm for the least
                                  Frobenius norm Hermitian and generalized
                                  skew Hamiltonian solutions of the
                                  generalized coupled Sylvester-conjugate
                                  matrix equations . . . . . . . . . . . . 1271--1301
             David A. Brown and   
                 David W. Zingg   Matrix-free monolithic homotopy
                                  continuation with application to
                                  computational aerodynamics . . . . . . . 1303--1320


Numerical Algorithms
Volume 79, Number 1, September, 2018

                Constantin Popa   Convergence rates for Kaczmarz-type
                                  algorithms . . . . . . . . . . . . . . . 1--17
             F. A. Abdullah and   
                     F. Liu and   
                 P. Burrage and   
                 K. Burrage and   
                          T. Li   Novel analytical and numerical
                                  techniques for fractional temporal SEIR
                                  measles model  . . . . . . . . . . . . . 19--40
                   Na Huang and   
                  Chang-Feng Ma   On the eigenvalues of the saddle point
                                  matrices discretized from Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 41--64
            Sandra Buhmiler and   
            Sanja Rapaji\'c and   
            Slavica Medi\'c and   
                Tatjana Grbi\'c   Finite-difference method for singular
                                  nonlinear systems  . . . . . . . . . . . 65--86
          Andrzej Marciniak and   
        Malgorzata A. Jankowska   Interval versions of Milne's multistep
                                  methods  . . . . . . . . . . . . . . . . 87--105
       Per Christian Hansen and   
   Jakob Sauer Jòrgensen   AIR Tools II: algebraic iterative
                                  reconstruction methods, improved
                                  implementation . . . . . . . . . . . . . 107--137
              Pham Ngoc Anh and   
             Tran T. H. Anh and   
                 Nguyen D. Hien   Modified basic projection methods for a
                                  class of equilibrium problems  . . . . . 139--152
              Bao-Hua Huang and   
                  Chang-Feng Ma   Some iterative methods for the largest
                                  positive definite solution to a class of
                                  nonlinear matrix equation  . . . . . . . 153--178
                    Moosa Ebadi   New class of hybrid BDF methods for the
                                  computation of numerical solutions of
                                  IVPs . . . . . . . . . . . . . . . . . . 179--193
                    Ming Li and   
                Hongwei Liu and   
                     Zexian Liu   A new subspace minimization conjugate
                                  gradient method with nonmonotone line
                                  search for unconstrained optimization    195--219
                    Vjeran Hari   Globally convergent Jacobi methods for
                                  positive definite matrix pairs . . . . . 221--249
        Abdulrahman Karouma and   
           Truong Nguyen-Ba and   
           Thierry Giordano and   
       Rémi Vaillancourt   A new class of efficient one-step
                                  contractivity preserving high-order time
                                  discretization methods of order 5 to 14  251--280
       Thái Anh Nhan and   
           Scott MacLachlan and   
                   Niall Madden   Boundary layer preconditioners for
                                  finite-element discretizations of
                                  singularly perturbed reaction--diffusion
                                  problems . . . . . . . . . . . . . . . . 281--310
              E. Jarlebring and   
                 A. Koskela and   
                        G. Mele   Disguised and new quasi-Newton methods
                                  for nonlinear eigenvalue problems  . . . 311--335
                  Hui Zhang and   
              Xiaoyun Jiang and   
                   Chu Wang and   
                    Wenping Fan   Galerkin--Legendre spectral schemes for
                                  nonlinear space fractional Schrödinger
                                  equation . . . . . . . . . . . . . . . . 337--356

Numerical Algorithms
Volume 79, Number 2, October, 2018

              Minoo Kamrani and   
                 Nahid Jamshidi   Implicit Milstein method for stochastic
                                  differential equations via the
                                  Wong--Zakai approximation  . . . . . . . 357--374
               Weiping Shen and   
                  Yaohua Hu and   
                   Chong Li and   
                   Jen-Chih Yao   Convergence of a Ulm-like method for
                                  square inverse singular value problems
                                  with multiple and zero singular values   375--398
       Andreas Karageorghis and   
    Malgorzata A. Jankowska and   
                     C. S. Chen   Kansa--RBF algorithms for elliptic
                                  problems in regular polygonal domains    399--421
             Ulises Fidalgo and   
  Erwin Miña-Díaz   Convergent interpolatory quadrature
                                  rules and orthogonal polynomials of
                                  varying measures . . . . . . . . . . . . 423--435
               Zhaojie Zhou and   
                 Chenyang Zhang   Time-stepping discontinuous Galerkin
                                  approximation of optimal control problem
                                  governed by time fractional diffusion
                                  equation . . . . . . . . . . . . . . . . 437--455
     João R. Cardoso and   
                   Amir Sadeghi   Conditioning of the matrix--matrix
                                  exponentiation . . . . . . . . . . . . . 457--477
        A. S. V. Ravi Kanth and   
                Deepika Sirswal   Analysis and numerical simulation for a
                                  class of time fractional diffusion
                                  equation via tension spline  . . . . . . 479--497
                K. R. Kazmi and   
                  Rehan Ali and   
                    Mohd Furkan   Hybrid iterative method for split
                                  monotone variational inclusion problem
                                  and hierarchical fixed point problem for
                                  a finite family of nonexpansive mappings 499--527
               Yekini Shehu and   
              Olaniyi S. Iyiola   Iterative algorithms for solving fixed
                                  point problems and variational
                                  inequalities with uniformly continuous
                                  monotone operators . . . . . . . . . . . 529--553
               Conor McCoid and   
             Manfred R. Trummer   Preconditioning of spectral methods via
                                  Birkhoff interpolation . . . . . . . . . 555--573
           Zhao-Zheng Liang and   
               Owe Axelsson and   
                 Maya Neytcheva   A robust structured preconditioner for
                                  time-harmonic parabolic optimal control
                                  problems . . . . . . . . . . . . . . . . 575--596
           Duong Viet Thong and   
                  Dang Van Hieu   Modified subgradient extragradient
                                  method for variational inequality
                                  problems . . . . . . . . . . . . . . . . 597--610
             M. C. De Bonis and   
                     C. Laurita   On the stability of a modified Nyström
                                  method for Mellin convolution equations
                                  in weighted spaces . . . . . . . . . . . 611--631
         Miroslav S. Petrov and   
               Todor D. Todorov   Stable subdivision of $4$D polytopes . . 633--656
                     Wen Li and   
                Yanmei Chen and   
              Seakweng Vong and   
                      Qilun Luo   Some refined bounds for the perturbation
                                  of the orthogonal projection and the
                                  generalized inverse  . . . . . . . . . . 657--677

Numerical Algorithms
Volume 79, Number 3, November, 2018

           Mojtaba Hajipour and   
               Amin Jajarmi and   
                Dumitru Baleanu   On the accurate discretization of a
                                  highly nonlinear boundary value problem  679--695
               Mahboub Baccouch   A superconvergent local discontinuous
                                  Galerkin method for nonlinear two-point
                                  boundary-value problems  . . . . . . . . 697--718
                  Xiulin Hu and   
                 Yuhao Cong and   
                    Guang-Da Hu   Delay-dependent stability of linear
                                  multistep methods for DAEs with multiple
                                  delays . . . . . . . . . . . . . . . . . 719--739
                  M. Hached and   
                      K. Jbilou   Numerical solutions to large-scale
                                  differential Lyapunov matrix equations   741--757
                Walter Gautschi   On the zeros of subrange Jacobi
                                  polynomials  . . . . . . . . . . . . . . 759--768
          Milena Petrovi\'c and   
       Vladimir Rakocevi\'c and   
             Natasa Kontrec and   
             Stefan Pani\'c and   
                   Dejan Ili\'c   Hybridization of accelerated gradient
                                  descent method . . . . . . . . . . . . . 769--786
            Th. Monovasilis and   
             Z. Kalogiratou and   
                    T. E. Simos   Trigonometrical fitting conditions for
                                  two derivative Runge--Kutta methods  . . 787--800
Kanokwan Sitthithakerngkiet and   
             Jitsupa Deepho and   
Juan Martínez-Moreno and   
                     Poom Kumam   Convergence analysis of a general
                                  iterative algorithm for finding a common
                                  solution of split variational inclusion
                                  and optimization problems  . . . . . . . 801--824
Marie Kubínová and   
                  James G. Nagy   Robust regression for mixed
                                  Poisson--Gaussian model  . . . . . . . . 825--851
                  X. G. Zhu and   
                 Z. B. Yuan and   
                     F. Liu and   
                      Y. F. Nie   Differential quadrature method for
                                  space-fractional diffusion equations on
                                  $2$D irregular domains . . . . . . . . . 853--877
            Pedro R. S. Antunes   A numerical algorithm to reduce
                                  ill-conditioning in meshless methods for
                                  the Helmholtz equation . . . . . . . . . 879--897
                Dongdong He and   
                      Kejia Pan   An unconditionally stable linearized
                                  difference scheme for the fractional
                                  Ginzburg--Landau equation  . . . . . . . 899--925
               Qiao-Li Dong and   
                  Dan Jiang and   
                    Aviv Gibali   A modified subgradient extragradient
                                  method for solving the variational
                                  inequality problem . . . . . . . . . . . 927--940
                Lixin Zhang and   
              Changjie Fang and   
                  Shenglan Chen   An inertial subgradient-type method for
                                  solving single-valued variational
                                  inequalities and fixed point problems    941--956
                        Y. Yang   Two computationally efficient
                                  polynomial-iteration infeasible
                                  interior-point algorithms for linear
                                  programming  . . . . . . . . . . . . . . 957--992

Numerical Algorithms
Volume 79, Number 4, December, 2018

                   Qiang Yu and   
                    Hang Xu and   
                    Shijun Liao   Coiflets solutions for Föppl--von Kármán
                                  equations governing large deflection of
                                  a thin flat plate by a novel
                                  wavelet-homotopy approach  . . . . . . . 993--1020
                N. Aslimani and   
                      R. Ellaia   A new chaos optimization algorithm based
                                  on symmetrization and levelling
                                  approaches for global optimization . . . 1021--1047
                  Ya-Min Li and   
                   Xue-Ping Guo   On the accelerated modified Newton--HSS
                                  method for systems of nonlinear
                                  equations  . . . . . . . . . . . . . . . 1049--1073
               Kathy Driver and   
                Kerstin Jordaan   Zeros of Jacobi polynomials $
                                  P_n^{(\alpha, \beta)} $, $ - 2 < \alpha
                                  $, $ \beta < - 1 $  . . . . . . . . . . . 1075--1085
              Yao-Lin Jiang and   
                      Zhen Miao   Waveform relaxation of partial
                                  differential equations . . . . . . . . . 1087--1106
                  Xiaoli Li and   
                   Hongxing Rui   Two temporal second-order $ H^1
                                  $-Galerkin mixed finite element schemes
                                  for distributed-order fractional
                                  sub-diffusion equations  . . . . . . . . 1107--1130
                Xianping Wu and   
               Xiaofei Peng and   
                         Wen Li   A preconditioned general modulus-based
                                  matrix splitting iteration method for
                                  linear complementarity problems of
                                  $H$-matrices . . . . . . . . . . . . . . 1131--1146
             Jennifer Scott and   
                  Miroslav Tuma   A Schur complement approach to
                                  preconditioning sparse linear
                                  least-squares problems with some dense
                                  rows . . . . . . . . . . . . . . . . . . 1147--1168
        Ioannis E. Livieris and   
          Vassilis Tampakas and   
            Panagiotis Pintelas   A descent hybrid conjugate gradient
                                  method based on the memoryless BFGS
                                  update . . . . . . . . . . . . . . . . . 1169--1185
                C. A. Arias and   
          J. M. Martínez   Fast convergence of an inexact interior
                                  point method for horizontal
                                  complementarity problems . . . . . . . . 1187--1210
                   Sean Hon and   
                  Andrew Wathen   Circulant preconditioners for analytic
                                  functions of Toeplitz matrices . . . . . 1211--1230
                 Haitao Che and   
                Haibin Chen and   
                      Meixia Li   A new simultaneous iterative method with
                                  a parameter for solving the extended
                                  split equality problem and the extended
                                  split equality fixed point problem . . . 1231--1256
              M. El Moudden and   
                    A. El Ghali   Multiple reduced gradient method for
                                  multiobjective optimization problems . . 1257--1282
                  Yi-Fen Ke and   
              Chang-Feng Ma and   
                     Huai Zhang   The modulus-based matrix splitting
                                  iteration methods for second-order cone
                                  linear complementarity problems  . . . . 1283--1303
                Linsen Song and   
                        Yan Gao   A smoothing Levenberg--Marquardt method
                                  for nonlinear complementarity problems   1305--1321


Numerical Algorithms
Volume 80, Number 1, January, 2019

                     G. Meurant   Preface  . . . . . . . . . . . . . . . . 1--3
                   C. Brezinski   Reminiscences of Peter Wynn  . . . . . . 5--10
           Claude Brezinski and   
          Michela Redivo-Zaglia   The genesis and early developments of
                                  Aitken's process, Shanks'
                                  transformation, the $ \epsilon
                                  $-algorithm, and related fixed point
                                  methods  . . . . . . . . . . . . . . . . 11--133
          Donald G. M. Anderson   Comments on ``Anderson Acceleration,
                                  Mixing and Extrapolation'' . . . . . . . 135--234
        Hervé Le Ferrand   The rational iteration method by Georges
                                  Lema\^\itre  . . . . . . . . . . . . . . 235--251
       Abderrahim Messaoudi and   
          Mohammed Errachid and   
             Khalide Jbilou and   
                  Hassane Sadok   GRPIA: a new algorithm for computing
                                  interpolation polynomials  . . . . . . . 253--278
              Walter Gander and   
                     Qiquan Shi   Matrix completion with $e$-algorithm . . 279--301
                     G. Meurant   Postface . . . . . . . . . . . . . . . . 303--303

Numerical Algorithms
Volume 80, Number 2, February, 2019

                    Ke Chen and   
    Geovani Nunes Grapiglia and   
                Jinyun Yuan and   
                  Daoping Zhang   Improved optimization methods for image
                                  registration problems  . . . . . . . . . 305--336
             Cheng-Liang Li and   
                  Chang-Feng Ma   Efficient parameterized rotated
                                  shift-splitting preconditioner for a
                                  class of complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 337--354
              Min-Hong Chen and   
                   Qing-Biao Wu   Modified Newton--MDPMHSS method for
                                  solving nonlinear systems with block
                                  two-by-two complex symmetric Jacobian
                                  matrices . . . . . . . . . . . . . . . . 355--375
       Herman D. Schaumburg and   
           Afnan Al Marzouk and   
                   Bela Erdelyi   Picard iteration-based variable-order
                                  integrator with dense output employing
                                  algorithmic differentiation  . . . . . . 377--396
                    Jian Lv and   
               Li-Ping Pang and   
                      Na Xu and   
                    Ze-Hao Xiao   An infeasible bundle method for
                                  nonconvex constrained optimization with
                                  application to semi-infinite programming
                                  problems . . . . . . . . . . . . . . . . 397--427
                Guangzhi Du and   
                      Liyun Zuo   A two-grid parallel partition of unity
                                  finite element scheme  . . . . . . . . . 429--445
            Mireille Haddad and   
Frédéric Hecht and   
                 Toni Sayah and   
          Pierre Henri Tournier   Parallel computing investigations for
                                  the projection method applied to the
                                  interface transport scheme of a
                                  two-phase flow by the method of
                                  characteristics  . . . . . . . . . . . . 447--467
                  Zhencheng Fan   Convergence of discrete time waveform
                                  relaxation methods . . . . . . . . . . . 469--483
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   Modified PHSS iterative methods for
                                  solving nonsingular and singular saddle
                                  point problems . . . . . . . . . . . . . 485--519
   M. García-Esnaola and   
              J. M. Peña   On the asymptotic optimality of error
                                  bounds for some linear complementarity
                                  problems . . . . . . . . . . . . . . . . 521--532
                   Yang Liu and   
                  Yanwei Du and   
                    Hong Li and   
                 Fawang Liu and   
                     Yajun Wang   Some second-order $ \theta $ schemes
                                  combined with finite element method for
                                  nonlinear fractional cable equation  . . 533--555
                 Ali Shokri and   
Mohammad Mehdizadeh Khalsaraei and   
         Mortaza Tahmourasi and   
            Raquel Garcia-Rubio   A new family of three-stage two-step
                                  P-stable multiderivative methods with
                                  vanished phase-lag and some of its
                                  derivatives for the numerical solution
                                  of radial Schrödinger equation and IVPs
                                  with oscillating solutions . . . . . . . 557--593
               Chun-Hua Guo and   
                Wen-Wei Lin and   
                 Ching-Sung Liu   A modified Newton iteration for finding
                                  nonnegative $Z$-eigenpairs of a
                                  nonnegative tensor . . . . . . . . . . . 595--616
                Songnian He and   
                    Hanlin Tian   Selective projection methods for solving
                                  a class of variational inequalities  . . 617--634
Rafael Rodríguez-Sánchez and   
      Sandra Catalán and   
     José R. Herrero and   
Enrique S. Quintana-Ortí and   
  Andrés E. Tomás   Look-ahead in the two-sided reduction to
                                  compact band forms for symmetric
                                  eigenvalue problems and the SVD  . . . . 635--660
             Aicke Hinrichs and   
              Peter Kritzer and   
   Friedrich Pillichshammer and   
              G. W. Wasilkowski   Truncation dimension for linear problems
                                  on multivariate function spaces  . . . . 661--685

Numerical Algorithms
Volume 80, Number 3, March, 2019

              Michael K. Ng and   
                   Zhaochen Zhu   Sparse matrix computation for air
                                  quality forecast data assimilation . . . 687--707
              Xiaohong Chen and   
               Xiufang Feng and   
                      Zhilin Li   A direct method for accurate solution
                                  and gradient computations for elliptic
                                  interface problems . . . . . . . . . . . 709--740
                   Jun Yang and   
                    Hongwei Liu   Strong convergence result for solving
                                  monotone variational inequalities in
                                  Hilbert space  . . . . . . . . . . . . . 741--752
          Eugeniusz Zieniuk and   
           Krzysztof Szersze\'n   A separation between the boundary shape
                                  and the boundary functions in the
                                  parametric integral equation system for
                                  the $3$D Stokes equation . . . . . . . . 753--780
                     Caili Sang   A new Brauer-type $Z$-eigenvalue
                                  inclusion set for tensors  . . . . . . . 781--794
               M. H. Annaby and   
                  M. M. Tharwat   Sinc-regularized techniques to compute
                                  eigenvalues of Schrödinger operators on $
                                  L^2 (I) \oplus \mathbb {C}^2 $ . . . . . 795--817
     Sven-Erik Ekström and   
                   Carlo Garoni   A matrix-less and parallel
                                  interpolation-extrapolation algorithm
                                  for computing the eigenvalues of
                                  preconditioned banded symmetric Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 819--848
             Haixiang Zhang and   
                Xuehua Yang and   
                          Da Xu   A high-order numerical method for
                                  solving the $2$D fourth-order
                                  reaction--diffusion equation . . . . . . 849--877
                Anna Concas and   
              Caterina Fenu and   
             Giuseppe Rodriguez   \pkgPQser: a Matlab package for spectral
                                  seriation  . . . . . . . . . . . . . . . 879--902
                Sergio Amat and   
                  Juan Ruiz and   
                 Juan C. Trillo   On an algorithm to adapt spline
                                  approximations to the presence of
                                  discontinuities  . . . . . . . . . . . . 903--936
             Xiao Shan Chen and   
             Seak-Weng Vong and   
                     Wen Li and   
                     Hongguo Xu   Noda iterations for generalized
                                  eigenproblems following
                                  Perron--Frobenius theory . . . . . . . . 937--955
                  Jan Vlcek and   
                Ladislav Luksan   Properties of the block BFGS update and
                                  its application to the limited-memory
                                  block BNS method for unconstrained
                                  minimization . . . . . . . . . . . . . . 957--987
               Minghua Chen and   
                     Wenshan Yu   Energy estimates for two-dimensional
                                  space-Riesz fractional wave equation . . 989--1014
               Xing Hui Gao and   
                 Le Rong Ma and   
                   Hai Yun Zhou   Three kinds of hybrid algorithms and
                                  their numerical realizations for a
                                  finite family of quasi-asymptotically
                                  pseudocontractive mappings . . . . . . . 1015--1035
                 V. Dhanush and   
                   S. Natarajan   Implementation of the virtual element
                                  method for coupled thermo-elasticity in
                                  Abaqus . . . . . . . . . . . . . . . . . 1037--1058
      M. Malzoumati-Khiaban and   
         A. Foroush Bastani and   
                 M. R. Yaghouti   Long-term adaptive symplectic numerical
                                  integration of linear stochastic
                                  oscillators driven by additive white
                                  noise  . . . . . . . . . . . . . . . . . 1059--1095

Numerical Algorithms
Volume 80, Number 4, April, 2019

                 C. Clavero and   
                   J. L. Gracia   Uniformly convergent additive schemes
                                  for $2$ d singularly perturbed parabolic
                                  systems of reaction--diffusion type  . . 1097--1120
                Yangyang Xu and   
               Ruijuan Zhao and   
                     Bing Zheng   Some criteria for identifying strong $
                                  \mathcal {H} $-tensors . . . . . . . . . 1121--1141
                Li-Dan Liao and   
                 Guo-Feng Zhang   A note on block diagonal and block
                                  triangular preconditioners for complex
                                  symmetric linear systems . . . . . . . . 1143--1154
        G. Zamani Eskandani and   
                      M. Raeisi   On the zero point problem of monotone
                                  operators in Hadamard spaces . . . . . . 1155--1179
                 Gaohang Yu and   
               Yisheng Song and   
                      Yi Xu and   
                      Zefeng Yu   Spectral projected gradient methods for
                                  generalized tensor eigenvalue
                                  complementarity problems . . . . . . . . 1181--1201
                  Zhaoli Ma and   
                   Lin Wang and   
                 Shih-sen Chang   On the split feasibility problem and
                                  fixed point problem of quasi-$ \varphi
                                  $-nonexpansive mapping in Banach spaces