Last update:
Tue Jan 2 07:30:32 MST 2024
Peter Shiu Counting sums of two squares: the
Meissel--Lehmer method . . . . . . . . . 351--360
Anders Björn and
Hans Riesel Factors of generalized Fermat numbers.
With microfiche supplement . . . . . . . 441--446
Cornelius Greither and
Xavier-François Roblot and
Brett A. Tangedal The Brumer--Stark conjecture in some
families of extensions of specified
degree . . . . . . . . . . . . . . . . . 297--315
Anders Björn and
Hans Riesel Table errata to ``Factors of generalized
Fermat numbers'' . . . . . . . . . . . . 2099--2099
Gang Bao and
Peijun Li and
Haijun Wu An adaptive edge element method with
perfectly matched absorbing layers for
wave scattering by biperiodic structures 1--34
Ziqing Xie and
Zhimin Zhang Uniform superconvergence analysis of the
discontinuous Galerkin method for a
singularly perturbed problem in $1$-D 35--45
Christine Bernardi and
Monique Dauge and
Yvon Maday The lifting of polynomial traces
revisited . . . . . . . . . . . . . . . 47--69
G. M. Coclite and
S. Mishra and
N. H. Risebro Convergence of an Engquist--Osher scheme
for a multi-dimensional triangular
system of conservation laws . . . . . . 71--94
Jérôme Droniou A numerical method for fractal
conservation laws . . . . . . . . . . . 95--124
Aurélien Monteillet Convergence of approximation schemes for
nonlocal front propagation equations . . 125--146
Yanping Chen and
Tao Tang Convergence analysis of the Jacobi
spectral-collocation methods for
Volterra integral equations with a
weakly singular kernel . . . . . . . . . 147--167
Christopher W. Curtis and
Bernard Deconinck On the convergence of Hill's method . . 169--187
Jonas Haehnle and
Andreas Prohl Approximation of nonlinear wave
equations with nonstandard anisotropic
growth conditions . . . . . . . . . . . 189--208
Aurélien Alfonsi High order discretization schemes for
the CIR process: Application to affine
term structure and Heston models . . . . 209--237
N. S. Hoang and
A. G. Ramm Dynamical systems method for solving
nonlinear equations with monotone
operators . . . . . . . . . . . . . . . 239--258
Xiaoming Wang Approximation of stationary statistical
properties of dissipative dynamical
systems: Time discretization . . . . . . 259--280
Othmar Koch and
Roswitha März and
Dirk Praetorius and
Ewa Weinmüller Collocation methods for index $1$ DAEs
with a singularity of the first kind . . 281--304
Gasper Jaklic and
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih and
Emil Zagar On interpolation by planar cubic $G^2$
Pythagorean-hodograph spline curves . . 305--326
G. Mastroianni and
I. Notarangelo A Lagrange-type projector on the real
line . . . . . . . . . . . . . . . . . . 327--352
Heping Wang and
Sofiya Ostrovska The norm estimates for the $q$-Bernstein
operator in the case $q > 1$ . . . . . . 353--363
Guillermo López Lagomasino and
Domingo Pestana and
José M. Rodríguez and
Dmitry Yakubovich Computation of conformal representations
of compact Riemann surfaces . . . . . . 365--381
Giedrius Alkauskas The Minkowski question mark function:
explicit series for the dyadic period
function and moments . . . . . . . . . . 383--418
Ren-Cang Li Sharpness in rates of convergence for
the symmetric Lanczos method . . . . . . 419--435
Dario A. Bini and
Beatrice Meini and
Federico Poloni An effective matrix geometric mean
satisfying the Ando--Li--Mathias
properties . . . . . . . . . . . . . . . 437--452
Benjamin A. Burton Optimizing the double description method
for normal surface enumeration . . . . . 453--484
Keith Matthews and
John Robertson and
Jim White Midpoint criteria for solving Pell's
equation using the nearest square
continued fraction . . . . . . . . . . . 485--499
Alina Ostafe and
Igor E. Shparlinski On the degree growth in some polynomial
dynamical systems and nonlinear
pseudorandom number generators . . . . . 501--511
Bartosz Zra\lek A deterministic version of Pollard's
$p-1$ algorithm . . . . . . . . . . . . 513--533
Nicolas Billerey and
Luis V. Dieulefait Solving Fermat-type equations
$x^5+y^5=dz^p$ . . . . . . . . . . . . . 535--544
K. Rubin and
A. Silverberg Choosing the correct elliptic curve in
the CM method . . . . . . . . . . . . . 545--561
Patrick Corn Tate--Shafarevich groups and $K3$
surfaces . . . . . . . . . . . . . . . . 563--581
Oliver Schirokauer The number field sieve for integers of
low weight . . . . . . . . . . . . . . . 583--602
A. Bremner and
Jean-Joël Delorme On equal sums of ninth powers . . . . . 603--612
Ernst Hairer Book review: \em Numerical methods for
evolutionary differential equations . . 613--614
I. P. Gavrilyuk Book review: \em Introduction to
interval analysis . . . . . . . . . . . 615--616
I. P. Gavrilyuk Book review: \em Lagrange multiplier
approach to variational problems and
applications . . . . . . . . . . . . . . 617--618
J. Connors and
W. Layton On the accuracy of the finite element
method plus time relaxation . . . . . . 619--648
R. Eymard and
T. Gallouët and
R. Herbin and
J. C. Latché A convergent finite element-finite
volume scheme for the compressible
Stokes problem. Part II: the isentropic
case . . . . . . . . . . . . . . . . . . 649--675
Peter K. Moore and
Marina Rangelova A posteriori error estimation for
$hp$-adaptivity for fourth-order
equations . . . . . . . . . . . . . . . 677--705
Mo Mu and
Xiaohong Zhu Decoupled schemes for a non-stationary
mixed Stokes--Darcy model . . . . . . . 707--731
Howard C. Elman and
Darran G. Furnival and
Catherine E. Powell $H({\rm div})$ preconditioning for a
mixed finite element formulation of the
diffusion problem with random data . . . 733--760
Andrew Christlieb and
Benjamin Ong and
Jing-Mei Qiu Integral deferred correction methods
constructed with high order Runge--Kutta
integrators . . . . . . . . . . . . . . 761--783
Etienne Emmrich and
Mechthild Thalhammer Stiffly accurate Runge--Kutta methods
for nonlinear evolution problems
governed by a monotone operator . . . . 785--806
Li-Lian Wang Analysis of spectral approximations
using prolate spheroidal wave functions 807--827
Shuhuang Xiang and
Haiyong Wang Fast integration of highly oscillatory
integrals with exotic oscillators . . . 829--844
D. S. Lubinsky and
A. Sidi Positive interpolatory quadrature rules
generated by some biorthogonal
polynomials . . . . . . . . . . . . . . 845--855
H. Monien Gaussian quadrature for sums: a rapidly
convergent summation scheme . . . . . . 857--869
Folkmar Bornemann On the numerical evaluation of Fredholm
determinants . . . . . . . . . . . . . . 871--915
Bin Han The structure of balanced multivariate
biorthogonal multiwavelets and dual
multiframelets . . . . . . . . . . . . . 917--951
F. Y. Kuo and
I. H. Sloan and
G. W. Wasilkowski and
H. Wozniakowski On decompositions of multivariate
functions . . . . . . . . . . . . . . . 953--966
Stefano Capparelli and
Alberto Del Fra and
Carlo Sci\`o On the span of polynomials with integer
coefficients . . . . . . . . . . . . . . 967--981
Grzegorz W. Wasilkowski and
Henryk Wozniakowski On the exponent of discrepancies . . . . 983--992
Josef Dick and
Peter Kritzer Duality theory and propagation rules for
generalized digital nets . . . . . . . . 993--1017
Ibrahim Kirat Disk-like tiles and self-affine curves
with noncollinear digits . . . . . . . . 1019--1045
Chang Heon Kim and
Ja Kyung Koo Generators of function fields of the
modular curves $X_1(5)$ and $X_1(6)$ . . 1047--1066
T. Recio and
J. R. Sendra and
L. F. Tabera and
C. Villarino Generalizing circles over algebraic
extensions . . . . . . . . . . . . . . . 1067--1089
Carlos Rito On equations of double planes with $p_g
= q = 1$ . . . . . . . . . . . . . . . . 1091--1108
Qi Cheng and
Xianmeng Meng and
Celi Sun and
Jiazhe Chen Bounding the sum of square roots via
lattice reduction . . . . . . . . . . . 1109--1122
Byeong Moon Kim and
Ji Young Kim and
Poo-Sung Park The fifteen theorem for universal
Hermitian lattices over imaginary
quadratic fields . . . . . . . . . . . . 1123--1144
Luis Dieulefait and
Lucio Guerberoff and
Ariel Pacetti Proving modularity for a given elliptic
curve over an imaginary quadratic field 1145--1170
Siguna Müller On the existence and non-existence of
elliptic pseudoprimes . . . . . . . . . 1171--1190
Romain Cosset Factorization with genus $2$ curves . . 1191--1208
Jaap Korevaar and
Herman te Riele Average prime-pair counting formula . . 1209--1229
Gregor Kemper Book review: \em A computational
introduction to number theory and
algebra . . . . . . . . . . . . . . . . 1231--1232
Alan Demlow and
Charalambos Makridakis Sharply local pointwise a posteriori
error estimates for parabolic problems 1233--1262
Sören Bartels Numerical analysis of a finite element
scheme for the approximation of harmonic
maps into surfaces . . . . . . . . . . . 1263--1301
Daniele A. Di Pietro and
Alexandre Ern Discrete functional analysis tools for
Discontinuous Galerkin methods with
application to the incompressible
Navier--Stokes equations . . . . . . . . 1303--1330
Bernardo Cockburn and
Jayadeep Gopalakrishnan and
Johnny Guzmán A new elasticity element made for
enforcing weak stress symmetry . . . . . 1331--1349
Bernardo Cockburn and
Jayadeep Gopalakrishnan and
Francisco-Javier Sayas A projection-based error analysis of HDG
methods . . . . . . . . . . . . . . . . 1351--1367
Gabriel N. Gatica and
Norbert Heuer and
Francisco-Javier Sayas A direct coupling of local discontinuous
Galerkin and boundary element methods 1369--1394
Olivier Bokanowski and
Nicolas Forcadel and
Hasnaa Zidani $L^1$-error estimates for numerical
approximations of
Hamilton--Jacobi--Bellman equations in
dimension $1$ . . . . . . . . . . . . . 1395--1426
Manuel J. Castro and
Alberto Pardo and
Carlos Parés and
E. F. Toro On some fast well-balanced first order
solvers for nonconservative systems . . 1427--1472
Zhen-Huan Teng Error bound between monotone difference
schemes and their modified equations . . 1473--1491
Frédéric Coquel and
Quang Long Nguyen and
Marie Postel and
Quang Huy Tran Entropy-satisfying relaxation method
with large time-steps for Euler IBVPs 1493--1533
A. Ghorbel and
R. Monneau Well-posedness and numerical analysis of
a one-dimensional non-local transport
equation modelling dislocations dynamics 1535--1564
Jan Bouwe van den Berg and
Jean-Philippe Lessard and
Konstantin Mischaikow Global smooth solution curves using
rigorous branch following . . . . . . . 1565--1584
Veerle Ledoux and
Simon J. A. Malham and
Vera Thümmler Grassmannian spectral shooting . . . . . 1585--1619
Huiyuan Li and
Jie Shen Optimal error estimates in
Jacobi-weighted Sobolev spaces for
polynomial approximations on the
triangle . . . . . . . . . . . . . . . . 1621--1646
H. N. Mhaskar and
F. J. Narcowich and
J. Prestin and
J. D. Ward ${L}^p$ Bernstein estimates and
approximation by spherical basis
functions . . . . . . . . . . . . . . . 1647--1679
Avram Sidi Asymptotic analysis of a generalized
Richardson extrapolation process on
linear sequences . . . . . . . . . . . . 1681--1695
Stamatis Koumandos and
Martin Lamprecht Some completely monotonic functions of
positive order . . . . . . . . . . . . . 1697--1707
Olivier Espinosa On the evaluation of Matsubara sums . . 1709--1725
Dmitrii Kouznetsov and
Henryk Trappmann Portrait of the four regular
super-exponentials to base $\sqrt 2$ . . 1727--1756
Habib Ammari and
Elena Beretta and
Elisa Francini and
Hyeonbae Kang and
Mikyoung Lim Optimization algorithm for
reconstructing interface changes of a
conductivity inclusion from modal
measurements . . . . . . . . . . . . . . 1757--1777
Pedro Berrizbeitia and
Boris Iskra Gaussian Mersenne and Eisenstein
Mersenne primes . . . . . . . . . . . . 1779--1791
Peter L. Montgomery and
Sangil Nahm and
Samuel S. Wagstaff, Jr. The period of the Bell numbers modulo a
prime . . . . . . . . . . . . . . . . . 1793--1800
Vahid Dabbaghian and
John D. Dixon Computing matrix representations . . . . 1801--1810
Avner Ash and
Paul E. Gunnells and
Mark McConnell Cohomology of congruence subgroups of
${SL}_4(\mathbb {Z})$. III . . . . . . . 1811--1831
Michael E. Zieve $p^k$-torsion of genus two curves over
$\mathbb {F}_{p^m}$ . . . . . . . . . . 1833--1838
D. H. Bailey and
J. M. Borwein and
R. E. Crandall Advances in the theory of box integrals 1839--1866
J. L. Nazareth Book review: \em Introduction to
derivative-free optimization . . . . . . 1867--1869
J. M. Melenk and
S. Sauter Convergence analysis for finite element
discretizations of the Helmholtz
equation with Dirichlet-to-Neumann
boundary conditions . . . . . . . . . . 1871--1914
C.-C. Chu and
I. G. Graham and
T.-Y. Hou A new multiscale finite element method
for high-contrast elliptic interface
problems . . . . . . . . . . . . . . . . 1915--1955
Lubomír Banas and
Andreas Prohl Convergent finite element discretization
of the multi-fluid nonstationary
incompressible magnetohydrodynamics
equations . . . . . . . . . . . . . . . 1957--1999
Martin Vohralík Unified primal formulation-based a
priori and a posteriori error analysis
of mixed finite element methods . . . . 2001--2032
Dylan M. Copeland and
Jayadeep Gopalakrishnan and
Minah Oh Multigrid in a weighted space arising
from axisymmetric electromagnetics . . . 2033--2058
Qiya Hu and
Shi Shu and
Junxian Wang Nonoverlapping domain decomposition
methods with a simple coarse space for
elliptic problems . . . . . . . . . . . 2059--2078
James H. Bramble and
Joseph E. Pasciak and
Dimitar Trenev Analysis of a finite PML approximation
to the three dimensional elastic wave
scattering problem . . . . . . . . . . . 2079--2101
José L. López and
Ester Pérez Sinusía Two-point Taylor expansions and
one-dimensional boundary value problems 2103--2115
Benjamin Stamm and
Thomas P. Wihler $hp$-Optimal discontinuous Galerkin
methods for linear elliptic problems . . 2117--2133
Konstantinos Chrysafinos and
Noel J. Walkington Discontinuous Galerkin approximations of
the Stokes and Navier--Stokes equations 2135--2167
Thirupathi Gudi A new error analysis for discontinuous
finite element methods for linear
elliptic problems . . . . . . . . . . . 2169--2189
Qinian Jin On a class of frozen regularized
Gauss--Newton methods for nonlinear
inverse problems . . . . . . . . . . . . 2191--2211
Xianjin Chen and
Jianxin Zhou A local min-max-orthogonal method for
finding multiple solutions to
noncooperative elliptic systems . . . . 2213--2236
Guo Ben-yu and
Jia Hong-li Spectral method on quadrilaterals . . . 2237--2264
George Kvernadze Approximation of the discontinuities of
a function by its classical orthogonal
polynomial Fourier coefficients . . . . 2265--2285
A. López García and
E. B. Saff Asymptotics of greedy energy points . . 2287--2316
Yingquan Wu More on solving systems of power
equations . . . . . . . . . . . . . . . 2317--2332
Terence Tao and
Van Vu Smooth analysis of the condition number
and the least singular value . . . . . . 2333--2352
Bartosz Zra\lek Using partial smoothness of $p - 1$ for
factoring polynomials modulo $p$ . . . . 2353--2359
David Harvey A multimodular algorithm for computing
Bernoulli numbers . . . . . . . . . . . 2361--2370
Houria Baaziz Equations for the modular curve $X_1(N)$
and models of elliptic curves with
torsion points . . . . . . . . . . . . . 2371--2386
Qiang Wu The smallest Perron numbers . . . . . . 2387--2394
Yannick Saouter and
Patrick Demichel A sharp region where $\pi(x) -
\hbox{li}(x)$ is positive . . . . . . . 2395--2405
Volker Ziegler On a family of Thue equations of degree
$16$ . . . . . . . . . . . . . . . . . . 2407--2429
Thotsaphon Thongjunthug Computing a lower bound for the
canonical height on elliptic curves over
number fields . . . . . . . . . . . . . 2431--2449
Graeme L. Cohen and
Ronald M. Sorli Odd harmonic numbers exceed $10^{24}$ 2451--2460
Alan Demlow and
Johnny Guzmán and
Alfred H. Schatz Local energy estimates for the finite
element method on sharply varying grids 1--9
Alejandro Allendes and
Gabriel R. Barrenechea and
Erwin Hernández and
Frédéric Valentin A two-level enriched finite element
method for a mixed problem . . . . . . . 11--41
Salim Meddahi and
Francisco-Javier Sayas and
Virginia Selgás Nonsymmetric coupling of BEM and mixed
FEM on polyhedral interfaces . . . . . . 43--68
Ralf Kornhuber and
Qingsong Zou Efficient and reliable hierarchical
error estimates for the discretization
error of elliptic obstacle problems . . 69--88
Arnaud Debussche Weak approximation of stochastic partial
differential equations: the nonlinear
case . . . . . . . . . . . . . . . . . . 89--117
Huo-Yuan Duan and
Roger C. E. Tan On the Poincaré--Friedrichs inequality
for piecewise $H^1$ functions in
anisotropic discontinuous Galerkin
finite element methods . . . . . . . . . 119--140
Gabriel Acosta and
Thomas Apel and
Ricardo G. Durán and
Ariel L. Lombardi Error estimates for Raviart--Thomas
interpolation of any order on
anisotropic tetrahedra . . . . . . . . . 141--163
Jean-François Coulombel and
Antoine Gloria Semigroup stability of finite difference
schemes for multidimensional hyperbolic
initial-boundary value problems . . . . 165--203
Nicolas Condette and
Christof Melcher and
Endre Süli Spectral approximation of
pattern-forming nonlinear evolution
equations with double-well potentials of
quadratic growth . . . . . . . . . . . . 205--223
Ben Adcock Convergence acceleration of modified
Fourier series in one or more dimensions 225--261
Daniela Schräder and
Holger Wendland A high-order, analytically
divergence-free discretization method
for Darcy's problem . . . . . . . . . . 263--277
Arieh Iserles and
David Levin Asymptotic expansion and quadrature of
composite highly oscillatory integrals 279--296
Velleda Baldoni and
Nicole Berline and
Jesus A. De Loera and
Matthias Köppe and
Mich\`ele Vergne How to integrate a polynomial over a
simplex . . . . . . . . . . . . . . . . 297--325
Ioannis K. Argyros A semilocal convergence analysis for
directional Newton methods . . . . . . . 327--343
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler Regeneration homotopies for solving
systems of polynomials . . . . . . . . . 345--377
Charles Knessl and
Mark W. Coffey An effective asymptotic formula for the
Stieltjes constants . . . . . . . . . . 379--386
David Harvey Faster algorithms for the square root
and reciprocal of power series . . . . . 387--394
Shin Harase and
Makoto Matsumoto and
Mutsuo Saito Fast lattice reduction for
$\mathbf{F}_2$-linear pseudorandom
number generators . . . . . . . . . . . 395--407
Dominic Lanphier Values of symmetric cube $L$-functions
and Fourier coefficients of Siegel
Eisenstein series of degree-3 . . . . . 409--428
Florian Luca and
Filip Najman On the largest prime factor of $ x^2 - 1
$ . . . . . . . . . . . . . . . . . . . 429--435
Zhenxiang Zhang Counting Carmichael numbers with small
seeds . . . . . . . . . . . . . . . . . 437--442
Claus Diem On the discrete logarithm problem in
class groups of curves . . . . . . . . . 443--475
Andrew V. Sutherland Structure computation and discrete
logarithms in finite abelian $p$-groups 477--500
Andrew V. Sutherland Computing Hilbert class polynomials with
the Chinese remainder theorem . . . . . 501--538
Amalia Pizarro-Madariaga Lower bounds for the Artin conductor . . 539--561
J. Beers and
D. Henshaw and
C. K. McCall and
S. B. Mulay and
M. Spindler Fundamentality of a cubic unit $u$ for
$\mathbb{Z}[u]$ . . . . . . . . . . . . 563--578
Daeyeol Jeon and
Chang Heon Kim and
Yoonjin Lee Families of elliptic curves over cubic
number fields with prescribed torsion
subgroups . . . . . . . . . . . . . . . 579--591
V. A. Bovdi and
E. Jespers and
A. B. Konovalov Torsion units in integral group rings of
Janko simple groups . . . . . . . . . . 593--615
Matthias Beck and
Andrew van Herick Enumeration of $4 \times 4$ magic
squares . . . . . . . . . . . . . . . . 617--621
Sid Graham Book review: \em A higher-dimensional
sieve method with procedures for
computing sieve functions . . . . . . . 623--624
Khamron Mekchay and
Pedro Morin and
Ricardo H. Nochetto AFEM for the Laplace--Beltrami operator
on graphs: Design and conditional
contraction property . . . . . . . . . . 625--648
Carsten Carstensen and
Hella Rabus An optimal adaptive mixed finite element
method . . . . . . . . . . . . . . . . . 649--667
Shangyou Zhang Divergence-free finite elements on
tetrahedral grids for $k \ge 6$ . . . . 669--695
Hagen Eichel and
Lutz Tobiska and
Hehu Xie Supercloseness and superconvergence of
stabilized low-order finite element
discretizations of the Stokes Problem 697--722
Bernardo Cockburn and
Jayadeep Gopalakrishnan and
Ngoc Cuong Nguyen and
Jaume Peraire and
Francisco-Javier Sayas Analysis of HDG methods for Stokes flow 723--760
Sören Bartels and
Rüdiger Müller Quasi-optimal and robust a posteriori
error estimates in $L^\infty (L^2)$ for
the approximation of Allen--Cahn
equations past singularities . . . . . . 761--780
V. Girault and
F. Guillén-González Mixed formulation, approximation and
decoupling algorithm for a penalized
nematic liquid crystals model . . . . . 781--819
Helge Holden and
Kenneth H. Karlsen and
Nils Henrik Risebro and
Terence Tao Operator splitting for the KdV equation 821--846
G. Berikelashvili and
O. Jokhadze and
S. Kharibegashvili and
B. Midodashvili Finite difference solution of a
nonlinear Klein--Gordon equation with an
external source . . . . . . . . . . . . 847--862
W. Hundsdorfer and
M. N. Spijker Boundedness and strong stability of
Runge--Kutta methods . . . . . . . . . . 863--886
Flavia Lanzara and
Vladimir Maz'ya and
Gunther Schmidt On the fast computation of high
dimensional volume potentials . . . . . 887--904
Josef Dick and
Gerhard Larcher and
Friedrich Pillichshammer and
Henryk Wo\'zniakowski Exponential convergence and tractability
of multivariate integration for Korobov
spaces . . . . . . . . . . . . . . . . . 905--930
Bernhard Beckermann and
Valeriy Kalyagin and
Ana C. Matos and
Franck Wielonsky How well does the Hermite--Padé
approximation smooth the Gibbs
phenomenon? . . . . . . . . . . . . . . 931--958
S. Amat and
K. Dadourian and
J. Liandrat On a nonlinear subdivision scheme
avoiding Gibbs oscillations and
converging towards $C^{s}$ functions
with $s > 1$ . . . . . . . . . . . . . . 959--971
Deter de Wet Subsequence convergence in subdivision 973--994
J. Arias de Reyna High precision computation of Riemann's
zeta function by the Riemann-Siegel
formula, I . . . . . . . . . . . . . . . 995--1009
Cristinel Mortici Sharp bounds of the Landau constants . . 1011--1018
Markus Hegland and
Robert S. Anderssen Dilational interpolatory inequalities 1019--1036
Jorge F. Sawyer and
Clifford A. Reiter Perfect parallelepipeds exist . . . . . 1037--1040
James McKee Computing totally positive algebraic
integers of small trace . . . . . . . . 1041--1052
Igor E. Shparlinski On the average distribution of
pseudorandom numbers generated by
nonlinear permutations . . . . . . . . . 1053--1061
James Currie and
Narad Rampersad A proof of Dejean's conjecture . . . . . 1063--1070
Matthew Greenberg and
John Voight Computing systems of Hecke eigenvalues
associated to Hilbert modular forms . . 1071--1092
Ihsen Yengui Stably free modules over $\mathbf{R}[X]$
of rank $> \dim\mathbf{R}$ are free . . . 1093--1098
Omer Kucuksakalli Class numbers of ray class fields of
imaginary quadratic fields . . . . . . . 1099--1122
Andries E. Brouwer and
Jan Draisma Equivariant Gröbner bases and the
Gaussian two-factor model . . . . . . . 1123--1133
Martin Kreuzer and
Henk Poulisse Subideal border bases . . . . . . . . . 1135--1154
Sándor Szabó Verifying a conjecture of L. Rédei for $p
= 13$ . . . . . . . . . . . . . . . . . 1155--1162
J. S. Friedman and
J. Jorgenson and
J. Kramer An effective bound for the Huber
constant for cofinite Fuchsian groups 1163--1196
Alexander Hulpke and
Petteri Kaski and
Patric R. J. Östergård The number of Latin squares of order
$11$ . . . . . . . . . . . . . . . . . . 1197--1219
Yves Gallot and
Pieter Moree and
Wadim Zudilin The Erd\Hos--Moser equation $1^k + 2^k +
\dots + (m-1)^k = m^k$ revisited using
continued fractions . . . . . . . . . . 1221--1237
Ricardo G. Durán and
Rodolfo Rodríguez and
Frank Sanhueza Numerical analysis of a finite element
method to compute the vibration modes of
a Reissner--Mindlin laminated plate . . 1239--1264
Christoph Ortner A priori and a posteriori analysis of
the quasinonlocal quasicontinuum method
in $1$D . . . . . . . . . . . . . . . . 1265--1285
Xiaozhe Hu and
Xiaoliang Cheng Acceleration of a two-grid method for
eigenvalue problems . . . . . . . . . . 1287--1301
Xiaobing Feng and
Michael Neilan Discontinuous finite element methods for
a bi-wave equation modeling $d$-wave
superconductors . . . . . . . . . . . . 1303--1333
Slimane Adjerid and
Thomas Weinhart Discontinuous Galerkin error estimation
for linear symmetrizable hyperbolic
systems . . . . . . . . . . . . . . . . 1335--1367
Yumin Lin and
Xianjuan Li and
Chuanju Xu Finite difference/spectral
approximations for the fractional cable
equation . . . . . . . . . . . . . . . . 1369--1396
M. Ganesh and
Q. T. Le Gia and
I. H. Sloan A pseudospectral quadrature method for
Navier--Stokes equations on rotating
spheres . . . . . . . . . . . . . . . . 1397--1430
István Gyöngy and
Nicolai Krylov Accelerated finite difference schemes
for second order degenerate elliptic and
parabolic problems in the whole space 1431--1458
Kenneth H. Karlsen and
Trygve K. Karper Convergence of a mixed method for a
semi-stationary compressible Stokes
system . . . . . . . . . . . . . . . . . 1459--1498
Rob Stevenson Divergence-free wavelet bases on the
hypercube: Free-slip boundary
conditions, and applications for solving
the instationary Stokes equations . . . 1499--1523
Rong-Qing Jia and
Wei Zhao Riesz bases of wavelets and applications
to numerical solutions of elliptic
equations . . . . . . . . . . . . . . . 1525--1556
Akil C. Narayan and
Jan S. Hesthaven A generalization of the Wiener rational
basis functions on infinite intervals:
Part I --- derivation and properties . . 1557--1583
F. R. de Hoog and
R. S. Anderssen and
M. A. Lukas Differentiation of matrix functionals
using triangular factorization . . . . . 1585--1600
Chi-Kwong Li and
Yiu-Tung Poon and
Thomas Schulte-Herbrüggen Least-squares approximation by elements
from matrix orbits achieved by gradient
flows on compact Lie groups . . . . . . 1601--1621
L. Bos and
J.-P. Calvi and
N. Levenberg and
A. Sommariva and
M. Vianello Geometric weakly admissible meshes,
discrete least squares approximations
and approximate Fekete points . . . . . 1623--1638
K. A. Ariyawansa and
Yuntao Zhu A class of polynomial volumetric barrier
decomposition algorithms for stochastic
semidefinite programming . . . . . . . . 1639--1661
Avram Sidi Asymptotic expansions of Legendre series
coefficients for functions with interior
and endpoint singularities . . . . . . . 1663--1684
Franz Peherstorfer Positive trigonometric quadrature
formulas and quadrature on the unit
circle . . . . . . . . . . . . . . . . . 1685--1701
C. Boonyasiriwat and
K. Sikorski and
C. Tsay Circumscribed ellipsoid algorithm for
fixed-point problems . . . . . . . . . . 1703--1723
Toshio Fukushima Precise and fast computation of the
general complete elliptic integral of
the second kind . . . . . . . . . . . . 1725--1743
Sheehan Olver Computing the Hilbert transform and its
inverse . . . . . . . . . . . . . . . . 1745--1767
H. M. Srivastava and
Jian-Rong Zhou and
Zhi-Gang Wang Asymptotic distributions of the zeros of
certain classes of hypergeometric
functions and polynomials . . . . . . . 1769--1784
Ghaith A. Hiary An amortized-complexity method to
compute the Riemann zeta function . . . 1785--1796
Tsz-Wo Sze and
with an Appendix by Lawrence C. Washington On taking square roots without quadratic
nonresidues over finite fields . . . . . 1797--1811
Stéphane R. Louboutin Upper bounds for residues of Dedekind
zeta functions and class numbers of
cubic and quartic number fields . . . . 1813--1822
Régis Dupont Fast evaluation of modular functions
using Newton iterations and the AGM . . 1823--1847
Hao Pan and
Wei Zhang On the integers of the form $p^2 + b^2 +
2^n$ and $b_1^2 + b_2^2 + 2^{n^2}$ . . . 1849--1864
Anders Björn and
Hans Riesel Table errata 2 to ``Factors of
generalized Fermat numbers'' . . . . . . 1865--1866
I. P. Gavrilyuk Book review: \em Fast multipole boundary
element method . . . . . . . . . . . . . 1867--1869
Bin Zheng and
Qiya Hu and
Jinchao Xu A nonconforming finite element method
for fourth order curl equations in
$\mathbb{R}^{3}$ . . . . . . . . . . . . 1871--1886
Andrea Bonito and
Jean-Luc Guermond Approximation of the eigenvalue problem
for the time harmonic Maxwell system by
continuous Lagrange finite elements . . 1887--1910
Gabriel N. Gatica and
Ricardo Oyarzúa and
Francisco-Javier Sayas Analysis of fully-mixed finite element
methods for the Stokes--Darcy coupled
problem . . . . . . . . . . . . . . . . 1911--1948
Gabriel Acosta and
María G. Armentano Finite element approximations in a
non-Lipschitz domain: Part II . . . . . 1949--1978
Susanne C. Brenner and
Thirupathi Gudi and
Michael Neilan and
Li-yeng Sung $\mathcal{C}^{0}$ penalty methods for
the fully nonlinear Monge--Amp\`ere
equation . . . . . . . . . . . . . . . . 1979--1995
Xiaobing Feng and
Haijun Wu $hp$-Discontinuous Galerkin methods for
the Helmholtz equation with large wave
number . . . . . . . . . . . . . . . . . 1997--2024
Carlos Castro and
Enrique Zuazua Flux identification for $1$-$\mathbf d$
scalar conservation laws in the presence
of shocks . . . . . . . . . . . . . . . 2025--2070
Qingshan Chen and
Zhen Qin and
Roger Temam Treatment of incompatible initial and
boundary data for parabolic equations in
higher dimension . . . . . . . . . . . . 2071--2096
R. Donat and
I. Higueras and
A. Martínez-Gavara On stability issues for IMEX schemes
applied to $1$D scalar hyperbolic
equations with stiff reaction terms . . 2097--2126
Yuji Nakatsukasa Gerschgorin's theorem for generalized
eigenvalue problems in the Euclidean
metric . . . . . . . . . . . . . . . . . 2127--2142
Barry H. Dayton and
Tien-Yien Li and
Zhonggang Zeng Multiple zeros of nonlinear systems . . 2143--2168
Hiroshi Sugiura and
Takemitsu Hasegawa A polynomial interpolation process at
quasi-Chebyshev nodes with the FFT . . . 2169--2184
Georg Muntingh and
Michael Floater Divided differences of implicit
functions . . . . . . . . . . . . . . . 2185--2195
Charles Knessl and
Mark W. Coffey An asymptotic form for the Stieltjes
constants $\gamma_{k}(a)$ and for a sum
$S_{\gamma}(n)$ appearing under the Li
criterion . . . . . . . . . . . . . . . 2197--2217
A. Bayad Fourier expansions for
Apostol--Bernoulli, Apostol--Euler and
Apostol--Genocchi polynomials . . . . . 2219--2221
Wenchang Chu Dougall's bilateral $_2H_2$-series and
Ramanujan-like $\pi$-formulae . . . . . 2223--2251
Gautami Bhowmik and
Immanuel Halupczok and
Jan-Christoph Schlage-Puchta Zero-sum free sets with small sum-set 2253--2258
Timothy Trudgian Improvements to Turing's method . . . . 2259--2279
Yannick Saouter and
Xavier Gourdon and
Patrick Demichel An improved lower bound for the de
Bruijn--Newman constant . . . . . . . . 2281--2287
Jean-Paul Cerri Some generalized Euclidean and $2$-stage
Euclidean number fields that are not
norm-Euclidean . . . . . . . . . . . . . 2289--2298
Borislav Mezhericher Evaluating Whittaker functions and Maass
forms for ${\rm SL}(3,\mathbb{Z})$ . . . 2299--2313
José María Grau and
Antonio M. Oller-Marcén An $\tilde{O}(\log^{2}(N))$ time
primality test for generalized Cullen
numbers . . . . . . . . . . . . . . . . 2315--2323
Felix Fontein The infrastructure of a global field of
arbitrary unit rank . . . . . . . . . . 2325--2357
Andrew Arnold and
Michael Monagan Calculating cyclotomic polynomials . . . 2359--2379
Douglas A. Stoll and
Patrick Demichel The impact of $\zeta(s)$ complex zeros
on $\pi(x)$ for $x < 10^{10^{13}}$ . . . 2381--2394
Daeyeol Jeon and
Chang Heon Kim and
Yoonjin Lee Families of elliptic curves over quartic
number fields with prescribed torsion
subgroups . . . . . . . . . . . . . . . 2395--2410
Werner Bley and
Henri Johnston Computing generators of free modules
over orders in group algebras II . . . . 2411--2434
J. P. Buhler and
D. Harvey Irregular primes to 163 million . . . . 2435--2444
Giedrius Alkauskas Addenda and corrigenda to ``The
Minkowski question mark function:
explicit series for the dyadic period
function and moments'' . . . . . . . . . 2445--2454
R. D. Lazarov P. Chatzipantelidis and
V. Thomée Some error estimates for the lumped mass
finite element method for a parabolic
problem . . . . . . . . . . . . . . . . 1--20
Christian Kreuzer Analysis of an adaptive Uzawa finite
element method for the nonlinear Stokes
problem . . . . . . . . . . . . . . . . 21--55
Maxim A. Olshanskii Multigrid analysis for the time
dependent Stokes problem . . . . . . . . 57--79
Natalia Kopteva and
Maria Pickett A second-order overlapping Schwarz
method for a $2$D singularly perturbed
semilinear reaction-diffusion problem 81--105
Brandon Chabaud and
Bernardo Cockburn Uniform-in-time superconvergence of HDG
methods for the heat equation . . . . . 107--129
Fatih Celiker and
Bernardo Cockburn and
Ke Shi A projection-based error analysis of HDG
methods for Timoshenko beams . . . . . . 131--151
Yingda Cheng and
Irene M. Gamba and
Jennifer Proft Positivity-preserving discontinuous
Galerkin schemes for linear
Vlasov--Boltzmann transport equations 153--190
J. V. Gutiérrez-Santacreu and
M. A. Rojas-Medar Uniform-in-time error estimates for
spectral Galerkin approximations of a
mass diffusion model . . . . . . . . . . 191--218
Orhan Mehmeto\uglu and
Bojan Popov Maximum principle and convergence of
central schemes based on slope limiters 219--231
Ren-Cang Li and
William Kahan A family of Anadromic numerical methods
for matrix Riccati differential
equations . . . . . . . . . . . . . . . 233--265
Petr N. Vabishchevich On a new class of additive (splitting)
operator-difference schemes . . . . . . 267--276
Dmitry Batenkov and
Yosef Yomdin Algebraic Fourier reconstruction of
piecewise smooth functions . . . . . . . 277--318
Michel Lenczner and
Gérard Montseny and
Youssef Yakoubi Diffusive realizations for solutions of
some operator equations: The
one-dimensional case . . . . . . . . . . 319--344
Chang-Ming Chen and
F. Liu and
V. Anh and
I. Turner Numerical methods for solving a
two-dimensional variable-order anomalous
subdiffusion equation . . . . . . . . . 345--366
Habib Ammari and
Hyeonbae Kang and
Mikyoung Lim and
Habib Zribi The generalized polarization tensors for
resolved imaging. Part I: Shape
reconstruction of a conductivity
inclusion . . . . . . . . . . . . . . . 367--386
Marko Huhtanen and
Allan Perämäki Numerical solution of the
$\mathbb{R}$-linear Beltrami equation 387--397
M. M. Martins and
W. Yousif and
J. L. Santos A variant of the AOR method for
augmented systems . . . . . . . . . . . 399--417
Stephan Dahlke and
Massimo Fornasier and
Thorsten Raasch Multilevel preconditioning and adaptive
sparse solution of inverse problems . . 419--446
Jinyan Fan The modified Levenberg--Marquardt method
for nonlinear equations with cubic
convergence . . . . . . . . . . . . . . 447--466
Wenchang Chu Analytical formulae for extended
$_3F_2$-series of Watson--Whipple--Dixon
with two extra integer parameters . . . 467--479
Andreas-Stephan Elsenhans Rational points on diagonal quartic
surfaces . . . . . . . . . . . . . . . . 481--492
Gábor Ivanyos and
Marek Karpinski and
Lajos Rónyai and
Nitin Saxena Trading GRH for algebra: Algorithms for
factoring polynomials and related
structures . . . . . . . . . . . . . . . 493--531
Jeoung-Hwan Ahn and
Soun-Hi Kwon The imaginary abelian number fields of
$2$-power degrees with ideal class
groups of exponent $\leq 2$ . . . . . . 533--554
John W. Jones and
Rachel Wallington Number fields with solvable Galois
groups and small Galois root
discriminants . . . . . . . . . . . . . 555--567
Ján Karabá\vs and
Roman Nedela Archimedean maps of higher genera . . . 569--583
Yeow Meng Chee and
San Ling and
Yin Tan and
Xiande Zhang Universal cycles for minimum coverings
of pairs by triples, with application to
$2$-radius sequences . . . . . . . . . . 585--603
Alice C. Niemeyer and
Tomasz Popiel and
Cheryl E. Praeger and
\cSükrü Yalçìnkaya On semiregular permutations of a finite
set . . . . . . . . . . . . . . . . . . 605--622
Liuqiang Zhong and
Long Chen and
Shi Shu and
Gabriel Wittum and
Jinchao Xu Convergence and optimality of adaptive
edge finite element methods for
time-harmonic Maxwell equations . . . . 623--642
S. C. Brenner and
J. Cui and
Z. Nan and
L.-Y. Sung Hodge decomposition for divergence-free
vector fields and two-dimensional
Maxwell's equations . . . . . . . . . . 643--659
Sebastian Franz and
R. Bruce Kellogg and
Martin Stynes Galerkin and streamline diffusion finite
element methods on a Shishkin mesh for a
convection-diffusion problem with corner
singularities . . . . . . . . . . . . . 661--685
Assyr Abdulle Discontinuous Galerkin finite element
heterogeneous multiscale method for
elliptic problems with multiple scales 687--713
Cui Yanfen and
Mao De-kang Error self-canceling of a difference
scheme maintaining two conservation laws
for linear advection equation . . . . . 715--741
A. Demlow and
D. Leykekhman and
A. H. Schatz and
L. B. Wahlbin Best approximation property in the
$W^1_\infty$ norm for finite element
methods on graded meshes . . . . . . . . 743--764
Alexey Chernov Optimal convergence estimates for the
trace of the polynomial $L^2$-projection
operator on a simplex . . . . . . . . . 765--787
Albert Cohen and
Nira Dyn and
Frédéric Hecht and
Jean-Marie Mirebeau Adaptive multiresolution analysis based
on anisotropic triangulations . . . . . 789--810
Jean-Marie Mirebeau and
Albert Cohen Greedy bisection generates optimally
adapted triangulations . . . . . . . . . 811--837
Habib Ammari and
Hyeonbae Kang and
Eunjoo Kim and
June-Yub Lee The generalized polarization tensors for
resolved imaging. Part II: Shape and
electromagnetic parameters
reconstruction of an electromagnetic
inclusion from multistatic measurements 839--860
Haiyong Wang and
Shuhuang Xiang On the convergence rates of Legendre
approximation . . . . . . . . . . . . . 861--877
Rida T. Farouki and
Carlotta Giannelli and
Carla Manni and
Alessandra Sestini Design of rational rotation--minimizing
rigid body motions by Hermite
interpolation . . . . . . . . . . . . . 879--903
Jeffrey D. Blanchard and
Ilya A. Krishtal Matricial filters and crystallographic
composite dilation wavelets . . . . . . 905--922
Satoru Iwata and
Mizuyo Takamatsu and
Caren Tischendorf Tractability index of hybrid equations
for circuit simulation . . . . . . . . . 923--939
Palle E. T. Jorgensen Ergodic scales in fractal measures . . . 941--955
Toshio Fukushima Series expansions of symmetric elliptic
integrals . . . . . . . . . . . . . . . 957--990
Iván Area and
Dimitar K. Dimitrov and
Eduardo Godoy and
Fernando R. Rafaeli Inequalities for zeros of Jacobi
polynomials via Obrechkoff's theorem . . 991--1004
William Y. C. Chen and
Neil J. Y. Fan and
Jeffrey Y. T. Jia The generating function for the
Dirichlet series $L_m(s)$ . . . . . . . 1005--1023
D. Berkane and
O. Bordell\`es and
O. Ramaré Explicit upper bounds for the remainder
term in the divisor problem . . . . . . 1025--1051
Timothy Trudgian An improved upper bound for the argument
of the Riemann zeta-function on the
critical line . . . . . . . . . . . . . 1053--1061
Wolfgang Keller and
Jacques Martinet and
Achill Schürmann and
with an Appendix by Mathieu Dutour Sikiri\'c On classifying Minkowskian sublattices 1063--1092
Jorge Jiménez Urroz and
Florian Luca and
Igor E. Shparlinski On the number of isogeny classes of
pairing-friendly elliptic curves and
statistics of MNT curves . . . . . . . . 1093--1110
Bas Heijne The maximal rank of elliptic Delsarte
surfaces . . . . . . . . . . . . . . . . 1111--1130
Andrew V. Sutherland Constructing elliptic curves over finite
fields with prescribed torsion . . . . . 1131--1147
V. G. Lopez Neumann and
Constantin Manoil Explicit computations on the
desingularized Kummer surface . . . . . 1149--1161
Amir Hashemi Efficient computation of
Castelnuovo--Mumford regularity . . . . 1163--1177
David Loeffler and
Jared Weinstein On the computation of local components
of a newform . . . . . . . . . . . . . . 1179--1200
Reinier Bröker and
Kristin Lauter and
Andrew V. Sutherland Modular polynomials via isogeny
volcanoes . . . . . . . . . . . . . . . 1201--1231
Terence Tao and
Ernest Croot III and
Harald Helfgott Deterministic methods to find primes . . 1233--1246
Susanne C. Brenner and
Li-yeng Sung and
Yi Zhang Finite element methods for the
displacement obstacle problem of clamped
plates . . . . . . . . . . . . . . . . . 1247--1262
Andrea Bonito and
Joseph E. Pasciak Convergence analysis of variational and
non-variational multigrid algorithms for
the Laplace--Beltrami operator . . . . . 1263--1288
L. Demkowicz and
J. Gopalakrishnan and
J. Schöberl Polynomial extension operators. Part III 1289--1326
Bernardo Cockburn and
Weifeng Qiu and
Ke Shi Conditions for superconvergence of HDG
methods for second-order elliptic
problems . . . . . . . . . . . . . . . . 1327--1353
Bernardo Cockburn and
Jintao Cui An analysis of HDG methods for the
vorticity-velocity-pressure formulation
of the Stokes problem in three
dimensions . . . . . . . . . . . . . . . 1355--1368
Bangti Jin and
Xiliang Lu Numerical identification of a Robin
coefficient in parabolic problems . . . 1369--1398
Yonghai Li and
Shi Shu and
Yuesheng Xu and
Qingsong Zou Multilevel preconditioning for the
finite volume method . . . . . . . . . . 1399--1428
T. Gallouët and
A. Larcher and
J. C. Latché Convergence of a finite volume scheme
for the convection-diffusion equation
with $\mathrm{L}^{1}$ data . . . . . . . 1429--1454
Laurent Demanet and
Lexing Ying Fast wave computation via Fourier
integral operators . . . . . . . . . . . 1455--1486
Xiao-Wen Chang and
Damien Stehlé and
Gilles Villard Perturbation Analysis of the $QR$ factor
$R$ in the context of LLL lattice basis
reduction . . . . . . . . . . . . . . . 1487--1511
Xinzhen Zhang and
Liqun Qi and
Yinyu Ye The cubic spherical optimization
problems . . . . . . . . . . . . . . . . 1513--1525
Claude Brezinski and
Yi He and
Xing-Biao Hu and
Michela Redivo-Zaglia and
Jian-Qing Sun Multistep $\epsilon$--algorithm, Shanks'
transformation, and the Lotka--Volterra
system by Hirota's method . . . . . . . 1527--1549
Georg Berschneider and
Wolfgang zu Castell and
Stefan J. Schrödl Function spaces for conditionally
positive definite operator-valued
kernels . . . . . . . . . . . . . . . . 1551--1569
Michael Filaseta and
Michael J. Mossinghoff The distance to an irreducible
polynomial, II . . . . . . . . . . . . . 1571--1585
Louis Leroux Computing the torsion points of a
variety defined by lacunary polynomials 1587--1607
Aureliano M. Robles-Pérez and
José Carlos Rosales The Frobenius problem for numerical
semigroups with embedding dimension
equal to three . . . . . . . . . . . . . 1609--1617
Markus Kirschmer A normal form for definite quadratic
forms over $\mathbb{F}_{q}[t]$ . . . . . 1619--1634
T. A. Fisher and
G. F. Sills Local solubility and height bounds for
coverings of elliptic curves . . . . . . 1635--1662
San Ling and
Enver Ozdemir and
Chaoping Xing Constructing irreducible polynomials
over finite fields . . . . . . . . . . . 1663--1668
Kevin A. Broughan and
A. Ross Barnett Gram lines and the average of the real
part of the Riemann zeta function . . . 1669--1679
Werner Bley Numerical evidence for the equivariant
Birch and Swinnerton-Dyer conjecture
(Part II) . . . . . . . . . . . . . . . 1681--1705
Luis M. Navas and
Francisco J. Ruiz and
Juan L. Varona Asymptotic estimates for
Apostol--Bernoulli and Apostol--Euler
polynomials . . . . . . . . . . . . . . 1707--1722
Ghaith A. Hiary and
Andrew M. Odlyzko The zeta function on the critical line:
Numerical evidence for moments and
random matrix theory models . . . . . . 1723--1752
S. Adam Fletcher and
Pace P. Nielsen and
Pascal Ochem Sieve methods for odd perfect numbers 1753--1776
Enrique Treviño The least inert prime in a real
quadratic field . . . . . . . . . . . . 1777--1797
Jérémy Berthomieu and
Grégoire Lecerf Reduction of bivariate polynomials from
convex-dense to dense, with application
to factorizations . . . . . . . . . . . 1799--1821
Jeroen Sijsling Arithmetic $(1;e)$-curves and Bel\uì maps 1823--1855
Aron Simis and
Rafael H. Villarreal Combinatorics of Cremona monomial maps 1857--1867
Pascal Ochem and
Michaël Rao Odd perfect numbers are greater than
$10^{1500}$ . . . . . . . . . . . . . . 1869--1877
J. Guzmán and
D. Leykekhman Pointwise error estimates of finite
element approximations to the Stokes
problem on convex polyhedra. . . . . . . 1879--1902
Zhiqiang Cai and
Shun Zhang Mixed methods for stationary
Navier--Stokes equations based on
pseudostress-pressure-velocity
formulation . . . . . . . . . . . . . . 1903--1927
Liangyue Ji and
Yan Xu and
Jennifer K. Ryan Accuracy-enhancement of discontinuous
Galerkin solutions for
convection-diffusion equations in
multiple-dimensions . . . . . . . . . . 1929--1950
Jean-Luc Guermond and
Peter D. Minev and
Abner J. Salgado Convergence analysis of a class of
massively parallel direction splitting
algorithms for the Navier--Stokes
equations in simple domains . . . . . . 1951--1977
S. Mishra and
Ch. Schwab Sparse tensor multi-level Monte Carlo
finite volume methods for hyperbolic
conservation laws with random initial
data . . . . . . . . . . . . . . . . . . 1979--2018
R. Eymard and
T. Gallouët and
R. Herbin and
A. Linke Finite volume schemes for the biharmonic
problem on general meshes . . . . . . . 2019--2048
Barbara Kaltenbacher and
Jonas Offtermatt A convergence analysis of regularization
by discretization in preimage space . . 2049--2069
Tony Leli\`evre and
Mathias Rousset and
Gabriel Stoltz Langevin dynamics with constraints and
computation of free energy differences 2071--2125
Sunyoung Bu and
Jingfang Huang and
Michael L. Minion Semi-implicit Krylov deferred correction
methods for differential algebraic
equations . . . . . . . . . . . . . . . 2127--2157
Avram Sidi Euler--Maclaurin expansions for
integrals with arbitrary algebraic
endpoint singularities . . . . . . . . . 2159--2173
Michael Gnewuch Infinite-dimensional integration on
weighted Hilbert spaces . . . . . . . . 2175--2205
Henryk Trappmann and
Dmitrii Kouznetsov Computation of the two regular
super-exponentials to base $\exp(1/e)$ 2207--2227
Kenier Castillo and
Regina Litz Lamblém and
Fernando Rodrigo Rafaeli and
Alagacone Sri Ranga Szeg\Ho and para-orthogonal polynomials
on the real line: Zeros and canonical
spectral transformations . . . . . . . . 2229--2249
Howard S. Cohl Table Errata to ``Formulas and theorems
for the special functions of
mathematical physics'' by W. Magnus, F.
Oberhettinger & R. P. Soni (1966) . . . . 2251--2251
Dorin Ervin Dutkay and
Palle E. T. Jorgensen Fourier duality for fractal measures
with affine scales . . . . . . . . . . . 2253--2273
Dorin Ervin Dutkay and
Palle E. T. Jorgensen Spectral measures and Cuntz algebras . . 2275--2301
M. H. Castro and
V. A. Menegatto Eigenvalue decay of positive integral
operators on the sphere . . . . . . . . 2303--2317
Eugenio P. Balanzario and
Jorge Sánchez-Ortiz Riemann--Siegel integral formula for the
Lerch zeta function . . . . . . . . . . 2319--2333
Pieter Rozenhart and
Michael Jacobson Jr. and
Renate Scheidler Tabulation of cubic function fields via
polynomial binary cubic forms . . . . . 2335--2359
Nathan C. Ryan and
Nils-Peter Skoruppa and
Fredrik Strömberg Numerical computation of a certain
Dirichlet series attached to Siegel
modular forms of degree two . . . . . . 2361--2376
H. Jager A metrical result on the approximation
by continued fractions . . . . . . . . . 2377--2382
J. Beers and
D. Henshaw and
C. K. McCall and
S. B. Mulay and
M. Spindler Corrigenda and addenda to
``Fundamentality of a cubic unit $u$ for
$\mathbb{Z}[u]$'' . . . . . . . . . . . 2383--2387
I. Bauer and
R. Pignatelli The classification of minimal
product-quotient surfaces with $p_g =
0$. . . . . . . . . . . . . . . . . . . 2389--2418
L. Naughton and
G. Pfeiffer Computing the table of marks of a cyclic
extension . . . . . . . . . . . . . . . 2419--2438
Simon R. Blackburn and
James F. McKee Constructing $k$-radius sequences . . . 2439--2459
L. Hajdu and
N. Saradha Disproof of a conjecture of Jacobsthal 2461--2471
Gerhard Dziuk and
Charles M. Elliott $L^2$-estimates for the evolving surface
finite element method . . . . . . . . . 1--24
Ming Wang and
Jinchao Xu Minimal finite element spaces for
$2m$-th-order partial differential
equations in $R^n$ . . . . . . . . . . . 25--43
Georgios Akrivis Implicit--explicit multistep methods for
nonlinear parabolic equations . . . . . 45--68
Wei Gong Error estimates for finite element
approximations of parabolic equations
with measure data . . . . . . . . . . . 69--98
Weizhu Bao and
Yongyong Cai Optimal error estimates of finite
difference methods for the
Gross--Pitaevskii equation with angular
momentum rotation . . . . . . . . . . . 99--128
Nikolaos Sfakianakis Adaptive mesh reconstruction for
hyperbolic conservation laws with total
variation bound . . . . . . . . . . . . 129--151
Hao Gao and
Hongkai Zhao Analysis of a numerical solver for
radiative transport equation . . . . . . 153--172
Helge Holden and
Christian Lubich and
Nils Henrik Risebro Operator splitting for partial
differential equations with Burgers
nonlinearity . . . . . . . . . . . . . . 173--185
Bernardo Cockburn and
Ivan Merev and
Jianliang Qian Local a posteriori error estimates for
time-dependent Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 187--212
Houde Han and
Zhongyi Huang Tailored finite point method based on
exponential bases for
convection-diffusion-reaction equation 213--226
Holger Wendland A high-order approximation method for
semilinear parabolic equations on
spheres . . . . . . . . . . . . . . . . 227--245
Ralf Hiptmair and
Andrea Moiola and
Ilaria Perugia Error analysis of Trefftz-discontinuous
Galerkin methods for the time-harmonic
Maxwell equations . . . . . . . . . . . 247--268
Martin Burger and
Michael Möller and
Martin Benning and
Stanley Osher An adaptive inverse scale space method
for compressed sensing . . . . . . . . . 269--299
Junfeng Yang and
Xiaoming Yuan Linearized augmented Lagrangian and
alternating direction methods for
nuclear norm minimization . . . . . . . 301--329
Y. Lipman and
J. Puente and
I. Daubechies Conformal Wasserstein distance: II.
computational aspects and extensions . . 331--381
Michael Griebel and
Frances Y. Kuo and
Ian H. Sloan The smoothing effect of integration in $
\mathbb {R}^d $ and the ANOVA
decomposition . . . . . . . . . . . . . 383--400
Youming Liu and
Junjian Zhao An extension of Bittner and Urban's
theorem . . . . . . . . . . . . . . . . 401--411
Guo Ben-yu and
Sun Tao and
Zhang Chao Jacobi and Laguerre quasi-orthogonal
approximations and related
interpolations . . . . . . . . . . . . . 413--441
Béla Bollobás and
Malte Lackmann and
Dierk Schleicher A small probabilistic universal set of
starting points for finding roots of
complex polynomials by Newton's method 443--457
Bin Han and
Xiaosheng Zhuang Algorithms for matrix extension and
orthogonal wavelet filter banks over
algebraic number fields . . . . . . . . 459--490
Reza R. Farashahi and
Pierre-Alain Fouque and
Igor E. Shparlinski and
Mehdi Tibouchi and
J. Felipe Voloch Indifferentiable deterministic hashing
to elliptic and hyperelliptic curves . . 491--512
Robert L. Miller and
Michael Stoll Explicit isogeny descent on elliptic
curves . . . . . . . . . . . . . . . . . 513--529
Takafumi Shibuta Irreducibility criterion for algebroid
curves . . . . . . . . . . . . . . . . . 531--554
Koray Karabina Squaring in cyclotomic subgroups . . . . 555--579
Sorina Ionica and
Antoine Joux Pairing the volcano . . . . . . . . . . 581--603
Anderson N. Martinhão and
Emerson L. Monte Carmelo Short covering codes arising from
matchings in weighted graphs . . . . . . 605--616
Yong Zhang and
Tianxin Cai $n$-tuples of positive integers with the
same sum and the same product . . . . . 617--623
Alan Demlow and
Stig Larsson Local pointwise a posteriori gradient
error bounds for the Stokes equations 625--649
Bernardo Cockburn and
Ke Shi Conditions for superconvergence of HDG
methods for Stokes flow . . . . . . . . 651--671
S. Bidwell and
M. E. Hassell and
C. R. Westphal A weighted least squares finite element
method for elliptic problems with
degenerate and singular coefficients . . 673--688
D. C. Antonopoulos and
V. A. Dougalis Error estimates for Galerkin
approximations of the ``classical''
Boussinesq system . . . . . . . . . . . 689--717
Helge Holden and
Kenneth H. Karlsen and
Trygve Karper Operator splitting for two-dimensional
incompressible fluid equations . . . . . 719--748
Shi Jin and
Jian-guo Liu and
Li Wang A domain decomposition method for
semilinear hyperbolic systems with
two-scale relaxations . . . . . . . . . 749--779
Bengt Hakberg A discrete KPP-theory for Fisher's
equation . . . . . . . . . . . . . . . . 781--802
Samuel K. M. Chenoweth and
Julio Soria and
Andrew Ooi An improved interpolation scheme for
finite volume simulations on
unstructured meshes . . . . . . . . . . 803--830
Christophe Berthon and
Philippe G. LeFloch and
Rodolphe Turpault Late-time/stiff-relaxation
asymptotic-preserving approximations of
hyperbolic equations . . . . . . . . . . 831--860
Vladimir Molchanov and
Marcel Oliver Convergence of the Hamiltonian
particle-mesh method for barotropic
fluid flow . . . . . . . . . . . . . . . 861--891
Alexander Dick and
Othmar Koch and
Roswitha März and
Ewa Weinmüller Convergence of collocation schemes for
boundary value problems in nonlinear
index $1$ DAEs with a singular point . . 893--918
Hailiang Liu and
Olof Runborg and
Nicolay M. Tanushev Error estimates for Gaussian beam
superpositions . . . . . . . . . . . . . 919--952
V. L. Makarov and
D. V. Dragunov and
Ya. V. Klimenko The FD-method for solving
Sturm--Liouville problems with special
singular differential operator . . . . . 953--973
Michael Griebel and
Helmut Harbrecht On the construction of sparse tensor
product spaces . . . . . . . . . . . . . 975--994
Yong Zhang and
Bin Dong and
Zhaosong Lu $ \mathcal {L}_0 $ Minimization for
wavelet frame based image restoration 995--1015
Ziqing Xie and
Li-Lian Wang and
Xiaodan Zhao On exponential convergence of Gegenbauer
interpolation and spectral
differentiation . . . . . . . . . . . . 1017--1036
Miodrag M. Spalevi\'c Error bounds of Gaussian quadrature
formulae for one class of
Bernstein--Szeg\Ho weights . . . . . . . 1037--1056
Kenier Castillo and
Francisco Marcellán Generators of rational spectral
transformations for nontrivial $
\mathcal {C} $-functions . . . . . . . . 1057--1068
Iván Area and
Dimitar K. Dimitrov and
Eduardo Godoy and
Vanessa G. Paschoa Zeros of classical orthogonal
polynomials of a discrete variable . . . 1069--1095
Stamatis Koumandos and
Martin Lamprecht Complete monotonicity and related
properties of some special functions . . 1097--1120
Timothy Caley The Prouhet--Tarry--Escott problem for
Gaussian integers . . . . . . . . . . . 1121--1137
Daniel J. Bernstein and
Peter Birkner and
Tanja Lange and
Christiane Peters ECM using Edwards curves . . . . . . . . 1139--1179
Steven D. Galbraith and
John M. Pollard and
Raminder S. Ruprai Computing discrete logarithms in an
interval . . . . . . . . . . . . . . . . 1181--1195
Kevin G. Hare and
Maysum Panju Some comments on Garsia numbers . . . . 1197--1221
Xavier Guitart and
Marc Masdeu Continued fractions in $2$-stage
Euclidean quadratic fields . . . . . . . 1223--1233
Guillaume Melquiond and
W. Georg Nowak and
Paul Zimmermann Numerical approximation of the
Masser--Gramain constant to four decimal
digits: $ \delta = 1.819 \ldots {} $ . . 1235--1246
Adrian Hirn Finite element approximation of singular
power-law systems . . . . . . . . . . . 1247--1268
Xiaobing Feng and
Yulong Xing Absolutely stable local discontinuous
Galerkin methods for the Helmholtz
equation with large wave number . . . . 1269--1296
Sangita Yadav and
Amiya K. Pani and
Eun-Jae Park Superconvergent discontinuous Galerkin
methods for nonlinear elliptic equations 1297--1335
Chuanmiao Chen and
Shufang Hu The highest order superconvergence for
bi-$k$ degree rectangular elements at
nodes: a proof of $ 2 k $-conjecture . . 1337--1355
Traian Iliescu and
Zhu Wang Variational multiscale proper orthogonal
decomposition: Convection-dominated
convection-diffusion-reaction equations 1357--1378
Paola F. Antonietti and
Lourenco Beirão da Veiga and
Marco Verani A mimetic discretization of elliptic
obstacle problems . . . . . . . . . . . 1379--1400
J. L. Bona and
H. Chen and
O. Karakashian and
Y. Xing Conservative, discontinuous
Galerkin--methods for the generalized
Korteweg--de Vries equation . . . . . . 1401--1432
Kristian Debrabant and
Espen R. Jakobsen Semi-Lagrangian schemes for linear and
fully non-linear diffusion equations . . 1433--1462
N. V. Krylov Interior estimates for second-order
differences of solutions of
finite-difference elliptic Bellman's
equations . . . . . . . . . . . . . . . 1463--1487
Simone Cifani and
Espen R. Jakobsen On the spectral vanishing viscosity
method for periodic fractional
conservation laws . . . . . . . . . . . 1489--1514
Claude Jeffrey Gittelson An adaptive stochastic Galerkin method
for random elliptic operators . . . . . 1515--1541
Yoshitaka Watanabe and
Takehiko Kinoshita and
Mitsuhiro T. Nakao A posteriori estimates of inverse
operators for boundary value problems in
linear elliptic partial differential
equations . . . . . . . . . . . . . . . 1543--1557
S. Blanes and
F. Casas and
P. Chartier and
A. Murua Optimized high-order splitting methods
for some classes of parabolic equations 1559--1576
Jungong Xue and
Qiang Ye Computing exponentials of essentially
non-negative matrices entrywise to high
relative accuracy . . . . . . . . . . . 1577--1596
Xiaoji Liu and
Shuxia Wu and
Dragana S. Cvetkovi\'c-Ili\'c New results on reverse order law for $
{1, 2, 3} $- and $ {1, 2, 4} $-inverses
of bounded operators . . . . . . . . . . 1597--1607
Shuai Lu and
Peter Mathé Heuristic parameter selection based on
functional minimization: Optimality and
model function approach . . . . . . . . 1609--1630
Shidong Jiang and
Zhi Liang and
Jingfang Huang A fast algorithm for Brownian dynamics
simulation with hydrodynamic
interactions . . . . . . . . . . . . . . 1631--1645
Qinian Jin Further convergence results on the
general iteratively regularized
Gauss--Newton methods under the
discrepancy principle . . . . . . . . . 1647--1665
Elaine Cohen and
Tom Lyche and
Richard F. Riesenfeld A B-spline-like basis for the
Powell--Sabin 12-split based on simplex
splines . . . . . . . . . . . . . . . . 1667--1707
Rados\law Szmytkowski Erratum to \booktitleFormulas and
Theorems for the Special Functions of
Mathematical Physics by W. Magnus, F.
Oberhettinger, R. P. Soni . . . . . . . 1709--1710
Peter Bruin Computing in Picard groups of projective
curves over finite fields . . . . . . . 1711--1756
William Stein and
Christian Wuthrich Algorithms for the arithmetic of
elliptic curves using Iwasawa theory . . 1757--1792
Guillaume Ch\`eze A recombination algorithm for the
decomposition of multivariate rational
functions . . . . . . . . . . . . . . . 1793--1812
M. Delgado and
J. I. Farrán and
P. A. García-Sánchez and
D. Llena On the generalized Feng--Rao numbers of
numerical semigroups generated by
intervals . . . . . . . . . . . . . . . 1813--1836
Johan Sejr Brinch Nielsen and
Jakob Grue Simonsen An experimental investigation of the
normality of irrational algebraic
numbers . . . . . . . . . . . . . . . . 1837--1858
Alexey Chernov and
Christoph Schwab First order $k$-th moment finite element
analysis of nonlinear operator equations
with stochastic data . . . . . . . . . . 1859--1888
Qiang Du and
Lili Ju and
Li Tian and
Kun Zhou A posteriori error analysis of finite
element method for linear nonlocal
diffusion and peridynamic models . . . . 1889--1922
Tan Bui-Thanh and
Leszek Demkowicz and
Omar Ghattas Constructively well-posed approximation
methods with unity inf--sup and
continuity constants for partial
differential equations . . . . . . . . . 1923--1952
Ross Ingram A new linearly extrapolated
Crank--Nicolson time-stepping scheme for
the Navier--Stokes equations . . . . . . 1953--1973
Eskil Hansen and
Tony Stillfjord Convergence of the implicit-explicit
Euler scheme applied to perturbed
dissipative evolution equations . . . . 1975--1985
Kassem Mustapha A superconvergent discontinuous Galerkin
method for Volterra integro-differential
equations, smooth and non-smooth kernels 1987--2005
Froilán M. Dopico and
Vadim Olshevsky and
Pavel Zhlobich Stability of $ Q R $-based fast system
solvers for a subclass of quasiseparable
rank one matrices . . . . . . . . . . . 2007--2034
Carl Jagels and
Lothar Reichel The structure of matrices in rational
Gauss quadrature . . . . . . . . . . . . 2035--2060
Yi Yang and
Michael Möller and
Stanley Osher A dual split Bregman method for fast $
\ell^1 $ minimization . . . . . . . . . 2061--2085
Xudong Yao A minimax method for finding saddle
critical points of upper
semi-differentiable locally Lipschitz
continuous functional in Hilbert space
and its convergence . . . . . . . . . . 2087--2136
Christine Choirat and
Raffaello Seri Computational aspects of Cui--Freeden
statistics for equidistribution on the
sphere . . . . . . . . . . . . . . . . . 2137--2156
Nabi Chegini and
Stephan Dahlke and
Ulrich Friedrich and
Rob Stevenson Piecewise tensor product wavelet bases
by extensions and approximation rates 2157--2190
C. Ortner and
A. V. Shapeev Analysis of an energy-based
atomistic/continuum approximation of a
vacancy in the $2$D triangular lattice 2191--2236
Ana Romero and
Julio Rubio Homotopy groups of suspended classifying
spaces: an experimental approach . . . . 2237--2244
Claude-Pierre Jeannerod and
Nicolas Louvet and
Jean-Michel Muller Further analysis of Kahan's algorithm
for the accurate computation of $ 2
\times 2 $ determinants . . . . . . . . 2245--2264
Mark W. Coffey and
George Csordas On the log-concavity of a Jacobi theta
function . . . . . . . . . . . . . . . . 2265--2272
Georges Klein An extension of the Floater--Hormann
family of barycentric rational
interpolants . . . . . . . . . . . . . . 2273--2292
A. Papageorgiou and
I. Petras and
J. F. Traub and
C. Zhang A fast algorithm for approximating the
ground state energy on a quantum
computer . . . . . . . . . . . . . . . . 2293--2304
Michael Strauss The second order spectrum and optimal
convergence . . . . . . . . . . . . . . 2305--2325
A. Bayad and
J. Chikhi Möbius inversion formulae for
Apostol--Bernoulli type polynomials and
numbers . . . . . . . . . . . . . . . . 2327--2332
Tianxin Cai and
Deyi Chen A new variant of the Hilbert--Waring
problem . . . . . . . . . . . . . . . . 2333--2341
Anna Morra An algorithm to compute relative cubic
fields . . . . . . . . . . . . . . . . . 2343--2361
Werner Bley and
Ruben Debeerst Algorithmic proof of the epsilon
constant conjecture . . . . . . . . . . 2363--2387
Robert Granger and
Andrew Moss Generalised Mersenne numbers revisited 2389--2420
Murray R. Bremner and
Jiaxiong Hu Fundamental invariants for the action of
$ {\rm SL}_3 (\mathbb {C}) \times {\rm
SL}_3 (\mathbb {C}) \times S L_3
(\mathbb {C}) $ on $ 3 \times 3 \times 3
$ arrays . . . . . . . . . . . . . . . . 2421--2438
Kevin Broughan and
Sergio Guzman Sanchez and
Florian Luca Perfect repdigits . . . . . . . . . . . 2439--2459
Qun Lin and
Hehu Xie and
Jinchao Xu Lower bounds of the discretization error
for piecewise polynomials . . . . . . . 1--13
Johnny Guzmán and
Michael Neilan Conforming and divergence-free Stokes
elements on general triangular meshes 15--36
Liyong Zhu and
Qiang Du Mesh dependent stability and condition
number estimates for finite element
approximations of parabolic problems . . 37--64
Bernardo Cockburn and
Vincent Quenneville-Bélair Uniform-in-time superconvergence of the
HDG methods for the acoustic wave
equation . . . . . . . . . . . . . . . . 65--85
Yanlai Chen and
Bernardo Cockburn Analysis of variable-degree HDG methods
for convection--diffusion equations.
Part II: Semimatching nonconforming
meshes . . . . . . . . . . . . . . . . . 87--111
Nune Hovhannisyan and
Siegfried Müller and
Roland Schäfer Adaptive multiresolution discontinuous
Galerkin schemes for conservation laws 113--151
Clément Canc\`es and
Iuliu Sorin Pop and
Martin Vohralík An a posteriori error estimate for
vertex-centered finite volume
discretizations of immiscible
incompressible two-phase flow . . . . . 153--188
Olivier Verdier Reductions of operator pencils . . . . . 189--214
Gang Bao and
Shui-Nee Chow and
Peijun Li and
Haomin Zhou An inverse random source problem for the
Helmholtz equation . . . . . . . . . . . 215--233
Hatem A. Fayed and
Amir F. Atiya An evaluation of the integral of the
product of the error function and the
normal probability density with
application to the bivariate normal
integral . . . . . . . . . . . . . . . . 235--250
Andreas Griewank and
Lutz Lehmann and
Hernan Leovey and
Marat Zilberman Automatic evaluations of
cross-derivatives . . . . . . . . . . . 251--274
Marco Streng Computing Igusa class polynomials . . . 275--309
Jan Steffen Müller Computing canonical heights using
arithmetic intersection theory . . . . . 311--336
Florian Luca and
Filip Najman Errata to ``On the largest prime factor
of $ x^2 - 1 $'' . . . . . . . . . . . . 337--337
Edgar Costa and
David Harvey Faster deterministic integer
factorization . . . . . . . . . . . . . 339--345
Omran Ahmadi and
Robert Granger An efficient deterministic test for
Kloosterman sum zeros . . . . . . . . . 347--363
Brendan Creutz Second $p$-descents on elliptic curves 365--409
Eric Errthum Minimal polynomials of singular moduli 411--420
Yannick Saouter and
Herman te Riele Improved results on the Mertens
conjecture . . . . . . . . . . . . . . . 421--433
Javad Doliskani and
Éric Schost Taking roots over high extensions of
finite fields . . . . . . . . . . . . . 435--446
Mohammad Sadek On elliptic curves whose conductor is a
product of two prime powers . . . . . . 447--460
Eric Jespers and
Ángel del Río and
Inneke Van Gelder Writing units of integral group rings of
finite abelian groups as a product of
Bass units . . . . . . . . . . . . . . . 461--473
Wenchang Chu and
Wenlong Zhang Accelerating Dougall's $ {_5F_4} $-sum
and infinite series involving $ \pi $ 475--512
Assyr Abdulle and
Gilles Vilmart Analysis of the finite element
heterogeneous multiscale method for
quasilinear elliptic homogenization
problems . . . . . . . . . . . . . . . . 513--536
J. Gopalakrishnan and
W. Qiu An analysis of the practical DPG method 537--552
Rodolfo Rodríguez and
Pablo Venegas Numerical approximation of the spectrum
of the curl operator . . . . . . . . . . 553--577
Thirupathi Gudi and
Kamana Porwal A posteriori error control of
discontinuous Galerkin methods for
elliptic obstacle problems . . . . . . . 579--602
Bernardo Cockburn and
Weifeng Qiu Commuting diagrams for the TNT elements
on cubes . . . . . . . . . . . . . . . . 603--633
Huiqing Zhu and
Zhimin Zhang Uniform convergence of the LDG method
for a singularly perturbed problem with
the exponential boundary layer . . . . . 635--663
Bernardo Cockburn and
Weifeng Qiu and
Manuel Solano A priori error analysis for HDG methods
using extensions from subdomains to
achieve boundary conformity . . . . . . 665--699
Huoyuan Duan A finite element method for
Reissner--Mindlin plates . . . . . . . . 701--733
Da Xu Uniform $ l^1 $ convergence in the
Crank--Nicolson method of a linear
integro-differential equation for
viscoelastic rods and plates . . . . . . 735--769
M. C. De Bonis and
G. Mastroianni Numerical treatment of a class of
systems of Fredholm integral equations
on the real line . . . . . . . . . . . . 771--788
Xiaowei Huang and
Chuansheng Wu and
Jun Zhou Numerical differentiation by integration 789--807
O. Davydov and
J. Prasiswa and
U. Reif Two-stage approximation methods with
extended B-splines . . . . . . . . . . . 809--833
R. J. Loy and
R. S. Anderssen On the construction of Dirichlet series
approximations for completely monotone
functions . . . . . . . . . . . . . . . 835--846
Bernard Mourrain On the dimension of spline spaces on
planar T-meshes . . . . . . . . . . . . 847--871
Bernd Bank and
Marc Giusti and
Joos Heintz Point searching in real singular
complete intersection varieties:
algorithms of intrinsic complexity . . . 873--897
W. R. Alford and
Jon Grantham and
Steven Hayman and
Andrew Shallue Constructing Carmichael numbers through
improved subset-product algorithms . . . 899--915
Luis Dieulefait and
Nuno Freitas The Fermat-type equations $ x^5 + y^5 =
2 z^p $ or $ 3 z^p $ solved through $
\mathbb {Q} $-curves . . . . . . . . . . 917--933
M. D. Velichka and
M. J. Jacobson Jr. and
A. Stein Computing discrete logarithms in the
Jacobian of high-genus hyperelliptic
curves over even characteristic finite
fields . . . . . . . . . . . . . . . . . 935--963
Ulrich Derenthal and
Andreas-Stephan Elsenhans and
Jörg Jahnel On the factor alpha in Peyre's constant 965--977
Harri Haanpää and
Patric R. J. Östergård Counting Hamiltonian cycles in bipartite
graphs . . . . . . . . . . . . . . . . . 979--995
Terence Tao Every odd number greater than $1$ is the
sum of at most five primes . . . . . . . 997--1038
Andrea Bonito and
Jean-Luc Guermond and
Bojan Popov Stability analysis of explicit entropy
viscosity methods for non-linear scalar
conservation equations . . . . . . . . . 1039--1062
Bernardo Cockburn and
Wujun Zhang An a posteriori error estimate for the
variable-degree Raviart--Thomas method 1063--1082
Blanca Ayuso de Dios and
Michael Holst and
Yunrong Zhu and
Ludmil Zikatanov Multilevel preconditioners for
discontinuous, Galerkin approximations
of elliptic problems, with jump
coefficients . . . . . . . . . . . . . . 1083--1120
Afaf Bouharguane and
Rémi Carles Splitting methods for the nonlocal
Fowler equation . . . . . . . . . . . . 1121--1141
Shaohua Pan and
Sangho Kum and
Yongdo Lim and
Jein-Shan Chen On the generalized Fischer--Burmeister
merit function for the second-order cone
complementarity problem . . . . . . . . 1143--1171
Jinyan Fan Accelerating the modified
Levenberg--Marquardt method for
nonlinear equations . . . . . . . . . . 1173--1187
Peter Kritzer and
Friedrich Pillichshammer and
Henryk Wo\'zniakowski Multivariate integration of infinitely
many times differentiable functions in
weighted Korobov spaces . . . . . . . . 1189--1206
Gradimir V. Milovanovi\'c and
Miodrag M. Spalevi\'c Kronrod extensions with multiple nodes
of quadrature formulas for Fourier
coefficients . . . . . . . . . . . . . . 1207--1231
Makoto Matsumoto and
Mutsuo Saito and
Kyle Matoba A computable figure of merit for
quasi-Monte Carlo point sets . . . . . . 1233--1250
Masanori Sawa and
Yuan Xu On positive cubature rules on the
simplex and isometric embeddings . . . . 1251--1277
Irénée Briquel and
Felipe Cucker and
Javier Peña and
Vera Roshchina Fast computation of zeros of polynomial
systems with bounded degree under
finite-precision . . . . . . . . . . . . 1279--1317
G. W. Wasilkowski Average case tractability of
approximating $\infty$-variate functions 1319--1336
Hal Schenck and
Alexandra Seceleanu and
Javid Validashti Syzygies and singularities of tensor
product surfaces of bidegree $ (2, 1) $ 1337--1372
Christoph Aistleitner and
Markus Hofer Probabilistic discrepancy bound for
Monte Carlo point sets . . . . . . . . . 1373--1381
Mark W. Coffey Series representation of the Riemann
zeta function and other results:
Complements to a paper of Crandall . . . 1383--1395
Pierre Lezowski Computation of the Euclidean minimum of
algebraic number fields . . . . . . . . 1397--1426
Masaaki Harada and
Tsuyoshi Miezaki On the existence of extremal Type II $
\mathbb {Z}_{2k}$-codes . . . . . . . . 1427--1446
Kevin Ford and
Florian Luca and
Pieter Moree Values of the Euler $ \varphi $-function
not divisible by a given odd prime, and
the distribution of Euler--Kronecker
constants for cyclotomic fields . . . . 1447--1476
Aristides Kontogeorgis Constructing class invariants . . . . . 1477--1488
Gabriele Nebe and
Richard Parker On extremal even unimodular $
72$-dimensional lattices . . . . . . . . 1489--1494
Lajos Hajdu and
Volker Ziegler Distinct unit generated totally complex
quartic fields . . . . . . . . . . . . . 1495--1512
Enric Nart Local computation of differents and
discriminants . . . . . . . . . . . . . 1513--1534
Domingo Gómez-Pérez and
Alina Ostafe and
Igor Shparlinski Algebraic entropy, automorphisms and
sparsity of algebraic dynamical systems
and pseudorandom number generators . . . 1535--1550
Douglas N. Arnold and
Gerard Awanou Finite element differential forms on
cubical meshes . . . . . . . . . . . . . 1551--1570
Bernardo Cockburn and
Francisco-Javier Sayas Divergence-conforming HDG methods for
Stokes flows . . . . . . . . . . . . . . 1571--1598
Karsten Urban and
Anthony T. Patera An improved error bound for reduced
basis approximation of linear parabolic
problems . . . . . . . . . . . . . . . . 1599--1615
Yanzhao Cao and
Max Gunzburger and
Xiaoming He and
Xiaoming Wang Parallel, non-iterative, multi-physics
domain decomposition methods for
time-dependent Stokes--Darcy systems . . 1617--1644
C. Canuto and
R. H. Nochetto and
M. Verani Adaptive Fourier--Galerkin methods . . . 1645--1687
Elena Celledoni and
Brynjulf Owren and
Yajuan Sun The minimal stage, energy preserving
Runge--Kutta method for polynomial
Hamiltonian systems is the averaged
vector field method . . . . . . . . . . 1689--1700
Lei-Hong Zhang and
Wei Hong Yang An efficient algorithm for second-order
cone linear complementarity problems . . 1701--1726
Peng Zhang and
Yuxiang Gao and
Janet Fierson and
Yuefan Deng Eigenanalysis-based task mapping on
parallel computers with cellular
networks . . . . . . . . . . . . . . . . 1727--1756
Markos A. Katsoulakis and
Petr Plechá\vc and
Luc Rey-Bellet and
Dimitrios K. Tsagkarogiannis Coarse-graining schemes for stochastic
lattice systems with short and
long-range interactions . . . . . . . . 1757--1793
David H. Bailey and
Jonathan M. Borwein and
Richard E. Crandall Computation and theory of extended
Mordell--Tornheim--Witten sums . . . . . 1795--1821
C. Kalla and
C. Klein Computation of the topological type of a
real Riemann surface . . . . . . . . . . 1823--1846
Bo Dong and
Bo Yu and
Yan Yu A symmetric homotopy and hybrid
polynomial system solving method for
mixed trigonometric polynomial systems 1847--1868
Philip J. Aston and
Oliver Junge Computing the invariant measure and the
Lyapunov exponent for one-dimensional
maps using a measure-preserving
polynomial basis . . . . . . . . . . . . 1869--1902
Carl Pomerance and
Hee-Sung Yang Variant of a theorem of Erd\Hos on the
sum-of-proper-divisors function . . . . 1903--1913
Maciej Ulas On some Diophantine systems involving
symmetric polynomials . . . . . . . . . 1915--1930
Lassina Dembélé On the computation of algebraic modular
forms on compact inner forms of $
\mathbf {GSp}_4 $ . . . . . . . . . . . 1931--1950
Valéry Mahé Prime power terms in elliptic
divisibility sequences . . . . . . . . . 1951--1991
Minkyu Kim and
Jung Hee Cheon and
In-Sok Lee Analysis on a generalized algorithm for
the strong discrete logarithm problem
with auxiliary inputs . . . . . . . . . 1993--2004
Jean-François Biasse An $ L(1 / 3) $ algorithm for ideal
class group and regulator computation in
certain number fields . . . . . . . . . 2005--2031
Tomás Oliveira e Silva and
Siegfried Herzog and
Silvio Pardi Empirical verification of the even
Goldbach conjecture and computation of
prime gaps up to $ 4 \cdot 10^{18} $ . . 2033--2060
Natalia Kopteva Linear finite elements may be only
first-order pointwise accurate on
anisotropic triangulations . . . . . . . 2061--2070
Jan Giesselmann and
Charalambos Makridakis and
Tristan Pryer Energy consistent discontinuous Galerkin
methods for the Navier--Stokes--Korteweg
system . . . . . . . . . . . . . . . . . 2071--2099
Junping Wang and
Xiu Ye A weak Galerkin mixed finite element
method for second order elliptic
problems . . . . . . . . . . . . . . . . 2101--2126
Fernando D. Gaspoz and
Pedro Morin Approximation classes for adaptive
higher order finite element
approximation . . . . . . . . . . . . . 2127--2160
Jie Chen and
Desheng Wang and
Qiang Du Linear finite element superconvergence
on simplicial meshes . . . . . . . . . . 2161--2185
Lennard Kamenski and
Weizhang Huang and
Hongguo Xu Conditioning of finite element equations
with arbitrary anisotropic meshes . . . 2187--2211
Zhengfu Xu Parametrized maximum principle
preserving flux limiters for high order
schemes solving hyperbolic conservation
laws: one-dimensional scalar problem . . 2213--2238
Liangyue Ji and
Paulien van Slingerland and
Jennifer K. Ryan and
Kees Vuik Superconvergent error estimates for
position-dependent smoothness-increasing
accuracy-conserving (SIAC)
post-processing of discontinuous
Galerkin solutions . . . . . . . . . . . 2239--2262
Deren Han and
Xiaoming Yuan and
Wenxing Zhang An augmented Lagrangian based parallel
splitting method for separable convex
minimization with applications to image
processing . . . . . . . . . . . . . . . 2263--2291
Arturo Kohatsu-Higa and
Salvador Ortiz-Latorre and
Peter Tankov Optimal simulation schemes for Lévy
driven stochastic differential equations 2293--2324
Mihály Kovács and
Jacques Printems Strong order of convergence of a fully
discrete approximation of a linear
stochastic Volterra type evolution
equation . . . . . . . . . . . . . . . . 2325--2346
Ying Jiang and
Yuesheng Xu Fast computation of the multidimensional
discrete Fourier transform and discrete
backward Fourier transform on sparse
grids . . . . . . . . . . . . . . . . . 2347--2384
Hatem A. Fayed and
Amir F. Atiya A novel series expansion for the
multivariate normal probability
integrals based on Fourier series . . . 2385--2402
Burhan Sadiq and
Divakar Viswanath Finite difference weights, spectral
differentiation, and superconvergence 2403--2427
San Ling and
Igor Shparlinski and
Huaxiong Wang On the Multidimensional Distribution of
the Naor--Reingold Pseudo-Random
Function . . . . . . . . . . . . . . . . 2429--2434
Pascal Ochem and
Micha\l Rao On the number of prime factors of an odd
perfect number . . . . . . . . . . . . . 2435--2439
Benjamin D. Sokolowsky and
Amy G. VanHooft and
Rachel M. Volkert and
Clifford A. Reiter An infinite family of perfect
parallelepipeds . . . . . . . . . . . . 2441--2454
Simon Rubinstein-Salzedo Period computations for covers of
elliptic curves . . . . . . . . . . . . 2455--2470
David Harvey A subquadratic algorithm for computing
the $n$-th Bernoulli number . . . . . . 2471--2477
Ariel Pacetti and
Nicolás Sirolli Computing ideal classes representatives
in quaternion algebras . . . . . . . . . 2479--2507
Willem A. de Graaf and
Francesco Oriente Classifying semisimple orbits of $
\theta $-groups . . . . . . . . . . . . 2509--2526
Dennis Moore and
Uwe Nagel Algorithms for strongly stable ideals 2527--2552
Chris Aholt and
Luke Oeding The ideal of the trifocal variety . . . 2553--2574
Samuel J. Dittmer Spoof odd perfect numbers . . . . . . . 2575--2582
Axel Målqvist and
Daniel Peterseim Localization of elliptic multiscale
problems . . . . . . . . . . . . . . . . 2583--2603
Carsten Carstensen and
Joscha Gedicke Guaranteed lower bounds for eigenvalues 2605--2629
Richard S. Falk and
Ragnar Winther Local bounded cochain projections . . . 2631--2656
Daniel Peterseim Composite finite elements for elliptic
interface problems . . . . . . . . . . . 2657--2674
Martin Stynes Sharp anisotropic interpolation error
estimates for rectangular
Raviart--Thomas elements . . . . . . . . 2675--2689
Alexander Rand and
Andrew Gillette and
Chandrajit Bajaj Quadratic serendipity finite elements on
polygons using generalized barycentric
coordinates . . . . . . . . . . . . . . 2691--2716
K. H. Karlsen and
N. H. Risebro and
E. B. Storròsten $ L^1 $ error estimates for difference
approximations of degenerate
convection-diffusion equations . . . . . 2717--2762
Matthew Causley and
Andrew Christlieb and
Benjamin Ong and
Lee Van Groningen Method of lines transpose: an implicit
solution to the wave equation . . . . . 2763--2786
Petr N. Vabishchevich Additive schemes (splitting schemes) for
some systems of evolutionary equations 2787--2797
Sharif Rahman Approximation errors in truncated
dimensional decompositions . . . . . . . 2799--2819
J. S. Brauchart and
E. B. Saff and
I. H. Sloan and
R. S. Womersley QMC designs: Optimal order Quasi Monte
Carlo integration schemes on the sphere 2821--2851
A. Hinrichs and
E. Novak and
M. Ullrich and
H. Wo\dzniakowski The curse of dimensionality for
numerical integration of smooth
functions . . . . . . . . . . . . . . . 2853--2863
Charles K. Chui and
H. N. Mhaskar Smooth function extension based on high
dimensional unstructured data . . . . . 2865--2891
Haiyong Wang and
Daan Huybrechs and
Stefan Vandewalle Explicit barycentric weights for
polynomial interpolation in the roots or
extrema of classical orthogonal
polynomials . . . . . . . . . . . . . . 2893--2914
Yupeng Jiang and
Yingpu Deng Strong pseudoprimes to the first eight
prime bases . . . . . . . . . . . . . . 2915--2924
David Corwin and
Tony Feng and
Zane Kun Li and
Sarah Trebat-Leder Elliptic curves with full $2$-torsion
and maximal adelic Galois
representations . . . . . . . . . . . . 2925--2951
Domingo Gómez and
Jaime Gutierrez Recovering zeros of polynomials modulo a
prime . . . . . . . . . . . . . . . . . 2953--2965
Romeo Me\vstrovi\'c A search for primes $p$ such that the
Euler number $ E_{p - 3}$ is divisible
by $p$ . . . . . . . . . . . . . . . . . 2967--2976
Reinier Bröker and
Kristin Lauter Evaluating Igusa functions . . . . . . . 2977--2999
San Ling and
Enver Ozdemir and
Chaoping Xing A relation between embedding degrees and
class numbers of binary quadratic forms 3001--3004
Josef Schicho and
David Sevilla Tschirnhaus--Weierstrass curves . . . . 3005--3015
Wouter Castryck and
Robert Laterveer and
Myriam Ouna\"\ies Constraints on counterexamples to the
Casas--Alvero conjecture and a
verification in degree $ 12 $ . . . . . 3017--3037
Jay Jorgenson and
Lejla Smajlovi\'c and
Holger Then On the distribution of eigenvalues of
Maass forms on certain moonshine groups 3039--3070
Edgar Costa and
Robert Gerbicz and
David Harvey A search for Wilson primes . . . . . . . 3071--3091
Daniele A. Di Pietro and
Simon Lemaire An extension of the Crouzeix--Raviart
space to general meshes with application
to quasi-incompressible linear
elasticity and Stokes flow . . . . . . . 1--31
Thomas Apel and
Johannes Pfefferer and
Arnd Rösch Finite element error estimates on the
boundary with application to optimal
control . . . . . . . . . . . . . . . . 33--70
Qun Lin and
Hehu Xie A multi-level correction scheme for
eigenvalue problems . . . . . . . . . . 71--88
Weiming Cao Superconvergence analysis of the linear
finite element method and a gradient
recovery postprocessing on anisotropic
meshes . . . . . . . . . . . . . . . . . 89--117
Vincent Lescarret and
Enrique Zuazua Numerical approximation schemes for
multi-dimensional wave equations in
asymmetric spaces . . . . . . . . . . . 119--152
Daniele A. Di Pietro and
Martin Vohralík and
Soleiman Yousef Adaptive regularization, linearization,
and discretization and a posteriori
error control for the two-phase Stefan
problem . . . . . . . . . . . . . . . . 153--186
Yannan Chen and
Wenyu Sun A dwindling filter line search method
for unconstrained optimization . . . . . 187--208
Yi Zhang and
Liwei Zhang and
Jia Wu and
Jianzhong Zhang A perturbation approach for an inverse
quadratic programming problem over
second-order cones . . . . . . . . . . . 209--236
Ben Adcock and
Anders C. Hansen Generalized sampling and the stable and
accurate reconstruction of piecewise
analytic functions from their Fourier
coefficients . . . . . . . . . . . . . . 237--270
Jingwei Hu and
Lexing Ying A fast algorithm for the energy space
boson Boltzmann collision operator . . . 271--288
Benjamin Hutz Determination of all rational
preperiodic points for morphisms of PN 289--308
Zhenxiang Zhang Estimating the counts of Carmichael and
Williams numbers with small multiple
seeds . . . . . . . . . . . . . . . . . 309--337
Minkyu Kim and
Jung Hee Cheon Computing prime divisors in an interval 339--354
David Loeffler and
Jared Weinstein Erratum: ``On the computation of local
components of a newform'' . . . . . . . 355--356
Karim Belabas and
Eduardo Friedman Computing the residue of the Dedekind
zeta function . . . . . . . . . . . . . 357--369
Frédéric Pitoun and
Firmin Varescon Computing the torsion of the
$p$-ramified module of a number field 371--383
Francesco Pappalardi Divisibility of reduction in groups of
rational numbers . . . . . . . . . . . . 385--407
Gary Greaves Small-span Hermitian matrices over
quadratic integer rings . . . . . . . . 409--424
Michael O. Rubinstein and
Shuntaro Yamagishi Computing the moment polynomials of the
zeta function . . . . . . . . . . . . . 425--454
Thorsten Theobald and
Timo de Wolff Approximating amoebas and coamoebas by
sums of squares . . . . . . . . . . . . 455--473
Fredrik Johansson A fast algorithm for reversion of power
series . . . . . . . . . . . . . . . . . 475--484
Michael Cuntz and
Christian Stump On root posets for noncrystallographic
root systems . . . . . . . . . . . . . . 485--503
José María Grau and
Antonio M. Oller-Marcén and
Daniel Sadornil A primality test for $ K p^n + 1 $
numbers . . . . . . . . . . . . . . . . 505--512
Christian Lubich and
Dhia Mansour Variational discretization of wave
equations on evolving surfaces . . . . . 513--542
Jichun Li and
Yunqing Huang and
Wei Yang Well-posedness study and finite element
simulation of time-domain cylindrical
and elliptical cloaks . . . . . . . . . 543--562
Jun Hu and
Shangyou Zhang The minimal conforming $ H^k $ finite
element spaces on $ R^n $ rectangular
grids . . . . . . . . . . . . . . . . . 563--579
Norbert Heuer and
Francisco-Javier Sayas Analysis of a non-symmetric coupling of
Interior Penalty DG and BEM . . . . . . 581--598
Zhongying Chen and
Yuesheng Xu and
Yuanyuan Zhang A construction of higher-order finite
volume methods . . . . . . . . . . . . . 599--628
Kohei Soga Stochastic and variational approach to
the Lax--Friedrichs scheme . . . . . . . 629--651
Zhonghua Qiao and
Zhi-zhong Sun and
Zhengru Zhang Stability and convergence of
second-order schemes for the nonlinear
epitaxial growth model without slope
selection . . . . . . . . . . . . . . . 653--674
Oscar Gonzalez and
Jun Li A convergence theorem for a class of
Nyström methods for weakly singular
integral equations on surfaces in $
\mathbb {R}^3 $ . . . . . . . . . . . . 675--714
Simai He and
Zhening Li and
Shuzhong Zhang Inhomogeneous polynomial optimization
over a convex set: an approximation
approach . . . . . . . . . . . . . . . . 715--741
Martin Sauer and
Wilhelm Stannat Lattice approximation for stochastic
reaction diffusion equations with
one-sided Lipschitz condition . . . . . 743--766
Bin Han Algorithm for constructing symmetric
dual framelet filter banks . . . . . . . 767--801
Luis M. Navas and
Francisco J. Ruiz and
Juan L. Varona Some functional relations derived from
the Lindelöf--Wirtinger expansion of the
Lerch transcendent function . . . . . . 803--813
I. K. Argyros and
M. A. Hernández and
S. Hilout and
N. Romero Directional Chebyshev-type methods for
solving equations . . . . . . . . . . . 815--830
Xavier-François Roblot Computing $p$-adic $L$-functions of
totally real number fields . . . . . . . 831--874
Xavier Guitart and
Marc Masdeu Elementary matrix decomposition and the
computation of Darmon points with higher
conductor . . . . . . . . . . . . . . . 875--893
J. E. Cremona and
T. A. Fisher and
C. O'Neil and
D. Simon and
M. Stoll Explicit $n$-descent on elliptic curves
III. Algorithms . . . . . . . . . . . . 895--922
Jennifer S. Balakrishnan and
Mirela Çiperiani and
William Stein $p$-adic heights of Heegner points and $
\Lambda $-adic regulators . . . . . . . 923--954
Cornelius Greither and
Xavier-François Roblot and
Brett A. Tangedal Corrigendum to ``The Brumer--Stark
conjecture in some families of
extensions of specified degree'' . . . . 955--957
Roberto La Scala Gröbner bases and gradings for partial
difference ideals . . . . . . . . . . . 959--985
Alexei Myasnikov and
Andrey Nikolaev and
Alexander Ushakov Knapsack problems in groups . . . . . . 987--1016
Susanne C. Brenner and
Li-Yeng Sung Piecewise $ \mathbf {H}^1 $ functions
and vector fields associated with meshes
generated by independent refinements . . 1017--1036
J. Gopalakrishnan and
F. Li and
N.-C. Nguyen and
J. Peraire Spectral approximations by the HDG
method . . . . . . . . . . . . . . . . . 1037--1059
Carsten Carstensen and
Dietmar Gallistl and
Mira Schedensack Adaptive nonconforming Crouzeix--Raviart
FEM for eigenvalue problems . . . . . . 1061--1087
Franz Chouly and
Patrick Hild and
Yves Renard Symmetric and non-symmetric variants of
Nitsche's method for contact problems in
elasticity: theory and numerical
experiments . . . . . . . . . . . . . . 1089--1112
Hengguang Li Regularity and multigrid analysis for
Laplace-type axisymmetric equations . . 1113--1144
Ohannes Karakashian and
Charalambos Makridakis A posteriori error estimates for
discontinuous Galerkin methods for the
generalized Korteweg--de Vries equation 1145--1167
Zhilin Li On convergence of the immersed boundary
method for elliptic interface problems 1169--1188
Tomoaki Okayama and
Takayasu Matsuo and
Masaaki Sugihara Theoretical analysis of Sinc--Nyström
methods for Volterra integral equations 1189--1215
Sören Bartels Error control and adaptivity for a
variational model problem defined on
functions of bounded variation . . . . . 1217--1240
Laurent Demaret and
Armin Iske Optimal $N$-term approximation by linear
splines over anisotropic Delaunay
triangulations . . . . . . . . . . . . . 1241--1264
Peter Franek and
Stefan Ratschan Effective topological degree computation
based on interval arithmetic . . . . . . 1265--1290
M. Lopez-Fernandez and
S. Sauter Fast and stable contour integration for
high order divided differences via
elliptic functions . . . . . . . . . . . 1291--1315
J. Morais and
I. Caçao Quaternion Zernike spherical polynomials 1317--1337
Laura Faber and
Habiba Kadiri New bounds for $ \psi (x) $ . . . . . . 1339--1357
Olivier Ramaré Explicit estimates on several summatory
functions involving the Moebius function 1359--1387
Fintan Costello and
Paul Watts An upper bound on Jacobsthal's function 1389--1399
Cris Poor and
David S. Yuen Paramodular cusp forms . . . . . . . . . 1401--1438
T. S. Trudgian An improved upper bound for the error in
the zero-counting formulae for Dirichlet
$L$-functions and Dedekind
zeta-functions . . . . . . . . . . . . . 1439--1450
Oliver Braun and
Renaud Coulangeon Perfect lattices over imaginary
quadratic number fields . . . . . . . . 1451--1467
Jinxiang Zeng and
Linsheng Yin On the computation of coefficients of
modular forms: the reduction modulo $p$
approach . . . . . . . . . . . . . . . . 1469--1488
E. Jespers and
S. O. Juriaans and
A. Kiefer and
A. de A.e Silva and
A. C. Souza Filho From the Poincaré Theorem to generators
of the unit group of integral group
rings of finite groups . . . . . . . . . 1489--1520
David J. Platt Computing $ \pi (x) $ analytically . . . 1521--1535
Omar Lakkis and
Charalambos Makridakis and
Tristan Pryer A comparison of duality and energy a
posteriori estimates for $ L_\infty (0,
T; L_2 (\varOmega)) $ in parabolic
problems . . . . . . . . . . . . . . . . 1537--1569
D. C. Antonopoulou and
G. D. Karali and
M. Plexousakis and
G. E. Zouraris Crank--Nicolson finite element
discretizations for a two-dimensional
linear Schrödinger-type equation posed in
a noncylindrical domain . . . . . . . . 1571--1598
Virginie Bonnaillie-Noël and
Marc Dambrine and
Frédéric Hérau and
Grégory Vial Artificial conditions for the linear
elasticity equations . . . . . . . . . . 1599--1632
Liviu I. Ignat and
Alejandro Pozo and
Enrique Zuazua Large-time asymptotics, vanishing
viscosity and numerics for $1$-D scalar
conservation laws . . . . . . . . . . . 1633--1662
Benjamin Boutin and
Frédéric Coquel and
Philippe G. LeFloch Coupling techniques for nonlinear
hyperbolic equations. IV. Well-balanced
schemes for scalar multi-dimensional and
multi-component laws . . . . . . . . . . 1663--1702
WenYi Tian and
Han Zhou and
Weihua Deng A class of second order difference
approximations for solving space
fractional diffusion equations . . . . . 1703--1727
Y.-M. Chung and
M. S. Jolly A unified approach to compute
foliations, inertial manifolds, and
tracking solutions . . . . . . . . . . . 1729--1751
Daniela Calvetti and
Erkki Somersalo and
Ruben Spies Variable order smoothness priors for
ill-posed inverse problems . . . . . . . 1753--1773
Ming-Jun Lai and
Yang Liu The probabilistic estimates on the
largest and smallest $q$-singular values
of random matrices . . . . . . . . . . . 1775--1794
Tom H. Koornwinder and
Stefan A. Sauter The intersection of bivariate orthogonal
polynomials on triangle patches . . . . 1795--1812
Jurgen A. Doornik Numerical evaluation of the Gauss
hypergeometric function by power
summations . . . . . . . . . . . . . . . 1813--1833
Can Evren Yarman and
Garret M. Flagg Generalization of Padé approximation from
rational functions to arbitrary analytic
functions --- Theory . . . . . . . . . . 1835--1860
Amir Akbary and
Keilan Scholten Artin prime producing polynomials . . . 1861--1882
Wai Kiu Chan and
María Inés Icaza and
Emilio A. Lauret A generalized Hermite constant for
imaginary quadratic fields . . . . . . . 1883--1900
Amir Akbary and
Kyle Hambrook A variant of the Bombieri--Vinogradov
theorem with explicit constants and
applications . . . . . . . . . . . . . . 1901--1932
Henri Cohen Exact counting of $ D_\ell $ number
fields with given quadratic resolvent 1933--1951
Romain Cosset and
Damien Robert Computing $ (\ell, \ell)$-isogenies in
polynomial time on Jacobians of genus
$2$ curves . . . . . . . . . . . . . . . 1953--1975
Gaetan Bisson Computing endomorphism rings of abelian
varieties of dimension two . . . . . . . 1977--1989
S. Pérez-Díaz and
J. R. Sendra and
C. Villarino Computing the singularities of rational
surfaces . . . . . . . . . . . . . . . . 1991--2021
Julia Pieltant and
Hugues Randriam New uniform and asymptotic upper bounds
on the tensor rank of multiplication in
extensions of finite fields . . . . . . 2023--2045
D. G. Best and
T. S. Trudgian Linear relations of zeroes of the
zeta-function . . . . . . . . . . . . . 2047--2058
Michael Neilan Discrete and conforming smooth de Rham
complexes in three dimensions . . . . . 2059--2081
Andrea Bonito and
Joseph E. Pasciak Numerical approximation of fractional
powers of elliptic operators . . . . . . 2083--2110
Carsten Carstensen and
Georg Dolzmann Convergence of adaptive finite element
methods for a nonconvex double-well
minimization problem . . . . . . . . . . 2111--2135
Andrea Bonito and
Denis Devaud Adaptive finite element methods for the
Stokes problem with discontinuous
viscosity . . . . . . . . . . . . . . . 2137--2162
Emmanuil H. Georgoulis and
Juha M. Virtanen Adaptive discontinuous Galerkin
approximations to fourth order parabolic
problems . . . . . . . . . . . . . . . . 2163--2190
James H. Adler and
Victor Nistor Graded mesh approximation in weighted
Sobolev spaces and elliptic equations in
$2$D . . . . . . . . . . . . . . . . . . 2191--2220
Florent Berthelin and
Thierry Goudon and
Sebastian Minjeaud Kinetic schemes on staggered grids for
barotropic Euler models:
entropy--stability analysis . . . . . . 2221--2262
Hailiang Liu Optimal error estimates of the direct
discontinuous Galerkin method for
convection-diffusion equations . . . . . 2263--2295
Gersende Fort and
Benjamin Jourdain and
Estelle Kuhn and
Tony Leliévre and
Gabriel Stoltz Convergence of the Wang--Landau
algorithm . . . . . . . . . . . . . . . 2297--2327
Dmitry Batenkov Complete algebraic reconstruction of
piecewise-smooth functions from Fourier
data . . . . . . . . . . . . . . . . . . 2329--2350
Richard P. Brent and
Fredrik Johansson A bound for the error term in the
Brent--McMillan algorithm . . . . . . . 2351--2359
Aurel Page Computing arithmetic Kleinian groups . . 2361--2390
Youness Lamzouri and
Xiannan Li and
Kannan Soundararajan Conditional bounds for the least
quadratic non-residue and related
problems . . . . . . . . . . . . . . . . 2391--2412
Jan Büthe A method for proving the completeness of
a list of zeros of certain $L$-functions 2413--2431
Yannick Saouter and
Timothy Trudgian and
Patrick Demichel A still sharper region where $ \pi (x) -
{\rm li}(x) $ is positive . . . . . . . 2433--2446
Shi Bai and
Richard P. Brent and
Emmanuel Thomé Root optimization of polynomials in the
number field sieve . . . . . . . . . . . 2447--2457
John C. Miller Real cyclotomic fields of prime
conductor and their class numbers . . . 2459--2469
Paul D. Nelson Evaluating modular forms on Shimura
curves . . . . . . . . . . . . . . . . . 2471--2503
Henri Darmon and
Michael Daub and
Sam Lichtenstein and
Victor Rotger Algorithms for Chow--Heegner points via
iterated integrals . . . . . . . . . . . 2505--2547
Pace P. Nielsen Odd perfect numbers, Diophantine
equations, and upper bounds . . . . . . 2549--2567
Sören Bartels and
Ricardo H. Nochetto and
Abner J. Salgado A total variation diminishing
interpolation operator and applications 2569--2587
Ralf Hiptmair and
Carlos Jerez-Hanckes and
Shipeng Mao Extension by zero in discrete trace
spaces: Inverse estimates . . . . . . . 2589--2615
Klaus Deckelnick and
Jakob Katz and
Friedhelm Schieweck A $ C^1 $-finite element method for the
Willmore flow of two-dimensional graphs 2617--2643
Yifeng Xu and
Jun Zou Convergence of an adaptive finite
element method for distributed flux
reconstruction . . . . . . . . . . . . . 2645--2663
Bangti Jin and
Raytcho Lazarov and
Joseph Pasciak and
William Rundell Variational formulation of problems
involving fractional order differential
operators . . . . . . . . . . . . . . . 2665--2700
Xiaozhe Hu and
Xiaoliang Cheng Corrigendum to: ``Acceleration of a
two-grid method for eigenvalue
problems'' . . . . . . . . . . . . . . . 2701--2704
Franck Boyer and
Stella Krell and
Flore Nabet Inf-Sup stability of the discrete
duality finite volume method for the
$2$D Stokes problem . . . . . . . . . . 2705--2742
Sigal Gottlieb and
Zachary Grant and
Daniel Higgs Optimal explicit strong stability
preserving Runge--Kutta methods with
high linear order and optimal nonlinear
order . . . . . . . . . . . . . . . . . 2743--2761
Luca Dieci and
Alessandro Pugliese Hermitian matrices of three parameters:
perturbing coalescing eigenvalues and a
numerical method . . . . . . . . . . . . 2763--2790
Farzin Barekat and
Stanley Osher A time continuation based fast
approximate algorithm for compressed
sensing related optimization . . . . . . 2791--2822
Lok Ming Lui and
Xianfeng Gu and
Shing-Tung Yau Convergence of an iterative algorithm
for Teichmüller maps via harmonic energy
optimization . . . . . . . . . . . . . . 2823--2842
Sotirios E. Notaris The error norm of Gauss--Radau
quadrature formulae for
Bernstein--Szeg\Ho weight functions . . 2843--2865
John R. Doyle and
David Krumm Computing algebraic numbers of bounded
height . . . . . . . . . . . . . . . . . 2867--2891
Nathan McNew On sets of integers which contain no
three terms in geometric progression . . 2893--2910
A. Kuznetsov Computing the truncated theta function
via Mordell integral . . . . . . . . . . 2911--2926
V. Flammang and
G. Rhin On the absolute Mahler measure of
polynomials having all zeros in a
sector. III . . . . . . . . . . . . . . 2927--2938
Verónica Becher and
Pablo Ariel Heiber and
Theodore A. Slaman A computable absolutely normal Liouville
number . . . . . . . . . . . . . . . . . 2939--2952
Zubeyir Cinkir Computation of polarized metrized graph
invariants by using discrete Laplacian
matrix . . . . . . . . . . . . . . . . . 2953--2967
Jean Bourgain and
Sergei V. Konyagin and
Igor E. Shparlinski Character sums and deterministic
polynomial root finding in finite fields 2969--2977
Stephen D. Cohen and
Tomás Oliveira e Silva and
Tim Trudgian A proof of the conjecture of Cohen and
Mullen on sums of primitive roots . . . 2979--2986
Razvan Barbulescu Selecting polynomials for the Function
Field Sieve . . . . . . . . . . . . . . 2987--3012
Janko Böhm and
Wolfram Decker and
Claus Fieker and
Gerhard Pfister The use of bad primes in rational
reconstruction . . . . . . . . . . . . . 3013--3027
Meinolf Geck and
Abbie Halls On the Kazhdan--Lusztig cells in type $
E_8 $ . . . . . . . . . . . . . . . . . 3029--3049
Petteri Kaski and
Patric R. J. Östergård and
Alexandru Popa Enumeration of Steiner triple systems
with subsystems . . . . . . . . . . . . 3051--3067
Eric Bach and
Andrew Shallue Counting composites with two strong
liars . . . . . . . . . . . . . . . . . 3069--3089
Gabriel N. Gatica and
Ricardo Ruiz-Baier and
Giordano Tierra A mixed finite element method for
Darcy's equations with pressure
dependent porosity . . . . . . . . . . . 1--33
Claus R. Goetz and
Armin Iske Approximate solutions of generalized
Riemann problems for nonlinear systems
of hyperbolic conservation laws . . . . 35--62
Waixiang Cao and
Zhimin Zhang Superconvergence of Local Discontinuous
Galerkin methods for one-dimensional
linear parabolic equations . . . . . . . 63--84
Anne Bouillard and
Erwan Faou and
Maxime Zavidovique Fast weak-KAM integrators for separable
Hamiltonian systems . . . . . . . . . . 85--117
Markus Faustmann and
Jens Markus Melenk and
Dirk Praetorius Existence of $ \mathcal {H}$-matrix
approximants to the inverses of BEM
matrices: The simple-layer operator . . 119--152
Ji Liu and
Stephen J. Wright An accelerated randomized Kaczmarz
algorithm . . . . . . . . . . . . . . . 153--178
Michael Moeller and
Xiaoqun Zhang Fast sparse reconstruction: Greedy
inverse scale space flows . . . . . . . 179--208
Laurent Demanet and
Xiangxiong Zhang Eventual linear convergence of the
Douglas--Rachford iteration for basis
pursuit . . . . . . . . . . . . . . . . 209--238
Zhitao Fan and
Hui Ji and
Zuowei Shen Dual Gramian analysis: Duality principle
and unitary extension principle . . . . 239--270
Yun-Qiu Shen and
Tjalling J. Ypma Rank deficiencies and bifurcation into
affine subspaces for separable
parameterized equations . . . . . . . . 271--293
D. H. Bailey and
J. M. Borwein Computation and structure of character
polylogarithms with applications to
character Mordell--Tornheim--Witten sums 295--324
O. Ramaré An explicit density estimate for
Dirichlet $L$-series . . . . . . . . . . 325--356
Javier Cilleruelo and
Florian Luca and
Amalia Pizarro-Madariaga Carmichael numbers in the sequence $
(2^n k + 1)_{n \geq 1} $ . . . . . . . . 357--377
Catalina V. Anghel The self-power map and collecting all
residue classes . . . . . . . . . . . . 379--399
Tomá\vs Hejda and
Edita Pelantová Spectral properties of cubic complex
Pisot units . . . . . . . . . . . . . . 401--421
David Krumm Computing points of bounded height in
projective space over a number field . . 423--447
Shuhong Gao and
Frank Volny IV and
Mingsheng Wang A new framework for computing Gröbner
bases . . . . . . . . . . . . . . . . . 449--465
Jürgen Hausen and
Simon Keicher and
Antonio Laface Computing Cox rings . . . . . . . . . . 467--502
Noah Lebowitz-Lockard and
Carl Pomerance Generating random factored Gaussian
integers, easily . . . . . . . . . . . . 503--516
Snorre H. Christiansen and
Francesca Rapetti On high order finite element spaces of
differential forms . . . . . . . . . . . 517--548
Clément Canc\`es and
Cindy Guichard Convergence of a nonlinear entropy
diminishing Control Volume Finite
Element scheme for solving anisotropic
degenerate parabolic equations . . . . . 549--580
J. L. Gracia and
E. O'Riordan Numerical approximation of solution
derivatives of singularly perturbed
parabolic problems of
convection-diffusion type . . . . . . . 581--599
Debora Amadori and
Laurent Gosse Error estimates for well-balanced and
time-split schemes on a locally damped
wave equation . . . . . . . . . . . . . 601--633
Wang Zhong-qing and
Sheng Chang-tao An $ h p$-spectral collocation method
for nonlinear Volterra integral
equations with vanishing variable delays 635--666
N. S. Hoang On node distributions for interpolation
and spectral methods . . . . . . . . . . 667--692
Todor Bilarev and
Magnus Aspenberg and
Dierk Schleicher On the speed of convergence of Newton's
method for complex polynomials . . . . . 693--705
A. Melman On Pellet's Theorem for a class of
lacunary polynomials . . . . . . . . . . 707--716
V. I. Korobov and
A. N. Bugaevskaya Almost power sum systems . . . . . . . . 717--736
Hoi H. Nguyen On a condition number of general random
polynomial systems . . . . . . . . . . . 737--757
Johan de Villiers and
Mpfareleni Rejoyce Gavhi Local interpolation with optimal
polynomial exactness in refinement
spaces . . . . . . . . . . . . . . . . . 759--782
Igor Rivin How to pick a random integer matrix?
(and other questions) . . . . . . . . . 783--797
Judith Egan and
Ian M. Wanless Enumeration of MOLS of small order . . . 799--824
William Y. C. Chen and
Larry X. W. Wang and
Gary Y. B. Xie Finite differences of the logarithm of
the partition function . . . . . . . . . 825--847
Csanád Bertók and
Lajos Hajdu A Hasse-type principle for exponential
Diophantine equations and its
applications . . . . . . . . . . . . . . 849--860
Shi Bai and
Cyril Bouvier and
Alexander Kruppa and
Paul Zimmermann Better polynomials for GNFS . . . . . . 861--873
Pierre Dusart Estimates of $ \psi, \theta $ for large
values of $x$ without the Riemann
hypothesis . . . . . . . . . . . . . . . 875--888
Lo\"\ic Grenié and
Giuseppe Molteni Explicit versions of the prime ideal
theorem for Dedekind zeta functions
under GRH . . . . . . . . . . . . . . . 889--906
Nathan C. Ryan and
Gonzalo Tornaría and
with an appendix by Ralf Schmidt Formulas for central values of twisted
spin $L$-functions attached to
paramodular forms . . . . . . . . . . . 907--929
Martin Raum Computing genus $1$ Jacobi forms . . . . 931--960
Jan Tuitman Counting points on curves using a map to
$ \mathbf {P}^1 $ . . . . . . . . . . . 961--981
Jennifer S. Balakrishnan and
J. Steffen Müller and
William A. Stein A $p$-adic analogue of the conjecture of
Birch and Swinnerton-Dyer for modular
abelian varieties . . . . . . . . . . . 983--1016
Ghaith A. Hiary An alternative to Riemann--Siegel type
formulas . . . . . . . . . . . . . . . . 1017--1032
Sören Bartels Projection-free approximation of
geometrically constrained partial
differential equations . . . . . . . . . 1033--1049
Dominik Schötzau and
Christoph Schwab and
Thomas P. Wihler $ h p$-dGFEM for second-order mixed
elliptic problems in polyhedra . . . . . 1051--1083
Juan G. Calvo A BDDC algorithm with deluxe scaling for
$ H(c u r l) $ in two dimensions with
irregular subdomains . . . . . . . . . . 1085--1111
Bernardo Cockburn and
Ricardo H. Nochetto and
Wujun Zhang Contraction property of adaptive
hybridizable discontinuous Galerkin
methods . . . . . . . . . . . . . . . . 1113--1141
D. C. Antonopoulos and
V. A. Dougalis Error estimates for the standard
Galerkin-finite element method for the
shallow water equations . . . . . . . . 1143--1182
Rodrigo Lecaros and
Enrique Zuazua Control of $2$D scalar conservation laws
in the presence of shocks . . . . . . . 1183--1224
Xiong Meng and
Chi-Wang Shu and
Boying Wu Optimal error estimates for
discontinuous Galerkin methods based on
upwind-biased fluxes for linear
hyperbolic equations . . . . . . . . . . 1225--1261
Lili Hu and
Yao Li and
Yingjie Liu A limiting strategy for the back and
forth error compensation and correction
method for solving advection equations 1263--1280
Christophe Berthon and
Christophe Chalons A fully well-balanced, positive and
entropy-satisfying Godunov-type method
for the shallow-water equations . . . . 1281--1307
Sebastian Kestler and
Kristina Steih and
Karsten Urban An efficient space-time adaptive wavelet
Galerkin method for time-periodic
parabolic partial differential equations 1309--1333
Adam Andersson and
Stig Larsson Weak convergence for a spatial
approximation of the nonlinear
stochastic heat equation . . . . . . . . 1335--1358
Emmanuel Gobet and
Plamen Turkedjiev Linear regression MDP scheme for
discrete backward stochastic
differential equations under general
conditions . . . . . . . . . . . . . . . 1359--1391
Alin Bostan and
Guillaume Ch\`eze and
Thomas Cluzeau and
Jacques-Arthur Weil Efficient algorithms for computing
rational first integrals and Darboux
polynomials of planar polynomial vector
fields . . . . . . . . . . . . . . . . . 1393--1425
Allan Hungria and
Jean-Philippe Lessard and
J. D. Mireles James Rigorous numerics for analytic solutions
of differential equations: the radii
polynomial approach . . . . . . . . . . 1427--1459
Alexander Abatzoglou and
Alice Silverberg and
Andrew V. Sutherland and
Angela Wong A framework for deterministic primality
proving using elliptic curves with
complex multiplication . . . . . . . . . 1461--1483
Daeyeol Jeon Families of elliptic curves over cyclic
cubic number fields with prescribed
torsion . . . . . . . . . . . . . . . . 1485--1502
Lo\"\ic Grenié and
Giuseppe Molteni Zeros of Dedekind zeta functions under
GRH . . . . . . . . . . . . . . . . . . 1503--1522
Long Zhang and
Kejian Xu The tame kernel of $ \mathbb
{Q}(\zeta_5) $ is trivial . . . . . . . 1523--1538
D. J. Platt and
T. S. Trudgian On the first sign change of $ \theta (x)
- x $ . . . . . . . . . . . . . . . . . 1539--1547
Maxim A. Olshanskii and
Danil Safin A narrow-band unfitted finite element
method for elliptic PDEs posed on
surfaces . . . . . . . . . . . . . . . . 1549--1570
Vivien Desveaux and
Markus Zenk and
Christophe Berthon and
Christian Klingenberg Well-balanced schemes to capture
non-explicit steady states: Ripa model 1571--1602
Sheng Chen and
Jie Shen and
Li-Lian Wang Generalized Jacobi functions and their
applications to fractional differential
equations . . . . . . . . . . . . . . . 1603--1638
Marco Donatelli and
Carlo Garoni and
Carla Manni and
Stefano Serra-Capizzano and
Hendrik Speleers Spectral analysis and spectral symbol of
matrices in isogeometric collocation
methods . . . . . . . . . . . . . . . . 1639--1680
Katy Craig and
Andrea L. Bertozzi A blob method for the aggregation
equation . . . . . . . . . . . . . . . . 1681--1717
Pierre Lairez Computing periods of rational integrals 1719--1752
P. Boito and
Y. Eidelman and
L. Gemignani Implicit $ Q R $ for companion-like
pencils . . . . . . . . . . . . . . . . 1753--1774
Nata\vsa Kreji\'c and
J. M. Martínez Inexact Restoration approach for
minimization with inexact evaluation of
the objective function . . . . . . . . . 1775--1791
Hoang-Long Ngo and
Dai Taguchi Strong rate of convergence for the
Euler--Maruyama approximation of
stochastic differential equations with
irregular coefficients . . . . . . . . . 1793--1819
Tor Sòrevik Good low degree rank-$1$ lattice rules
of high dimension . . . . . . . . . . . 1821--1835
C. F. Bracciali and
J. H. McCabe and
T. E. Pérez and
A. Sri Ranga A class of orthogonal functions given by
a three term recurrence formula . . . . 1837--1859
Thorsten Kleinjung Quadratic sieving . . . . . . . . . . . 1861--1873
Lo\"\ic Grenié and
Giuseppe Molteni Explicit smoothed prime ideals theorems
under GRH . . . . . . . . . . . . . . . 1875--1899
Reinier Bröker and
Jeff Hoffstein Fourier coefficients of sextic theta
series . . . . . . . . . . . . . . . . . 1901--1927
Dustin Moody and
Daniel Shumow Analogues of Vélu's formulas for
isogenies on alternate models of
elliptic curves . . . . . . . . . . . . 1929--1951
Jan Hendrik Bruinier and
Stephan Ehlen and
Eberhard Freitag Lattices with many Borcherds products 1953--1981
A. S. Mosunov and
M. J. Jacobson, Jr. Unconditional class group tabulation of
imaginary quadratic fields to $ | \Delta
| < 2^{40} $ . . . . . . . . . . . . . . 1983--2009
Reynald Lercier and
Christophe Ritzenthaler and
Jeroen Sijsling Explicit Galois obstruction and descent
for hyperelliptic curves with tamely
cyclic reduced automorphism group . . . 2011--2045
S. D. Adhikari and
L. Boza and
S. Eliahou and
J. M. Marín and
M. P. Revuelta and
M. I. Sanz On the $n$-color Rado number for the
equation $ x_1 + x_2 + \cdots + x_k + c
= x_{k + 1}$ . . . . . . . . . . . . . . 2047--2064
Ghaith A. Hiary A deterministic algorithm for integer
factorization . . . . . . . . . . . . . 2065--2069
Johnny Guzmán and
Manuel A. Sánchez and
Marcus Sarkis On the accuracy of finite element
approximations to a class of interface
problems . . . . . . . . . . . . . . . . 2071--2098
Alexandre Ern and
Friedhelm Schieweck Discontinuous Galerkin method in time
combined with a stabilized finite
element method in space for linear
first-order PDEs . . . . . . . . . . . . 2099--2129
Olivier Bokanowski and
Yingda Cheng and
Chi-Wang Shu Convergence of discontinuous Galerkin
schemes for front propagation with
obstacles . . . . . . . . . . . . . . . 2131--2159
Kohei Soga More on stochastic and variational
approach to the Lax--Friedrichs scheme 2161--2193
Georgios Akrivis and
Emmanuil Katsoprinakis Backward difference formulae: New
multipliers and stability properties for
parabolic equations . . . . . . . . . . 2195--2216
Georgios Akrivis Stability properties of
implicit--explicit multistep methods for
a class of nonlinear parabolic equations 2217--2229
Wenbin Chen and
Yuan Liu and
Cheng Wang and
Steven M. Wise Convergence analysis of a fully discrete
finite difference scheme for the
Cahn--Hilliard--Hele--Shaw equation . . 2231--2257
Ioan Florin Bugariu and
Sorin Micu and
Ionel Roven\cta Approximation of the controls for the
beam equation with vanishing viscosity 2259--2303
Frédéric Coquel and
Edwige Godlewski and
Khalil Haddaoui and
Claude Marmignon and
Florent Renac Choice of measure source terms in
interface coupling for a model problem
in gas dynamics . . . . . . . . . . . . 2305--2339
Tianyu Qiu and
Francisco-Javier Sayas The Costabel--Stephan system of boundary
integral equations in the time domain 2341--2364
G. Murali Mohan Reddy and
Rajen K. Sinha On the Crank--Nicolson anisotropic a
posteriori error analysis for parabolic
integro-differential equations . . . . . 2365--2390
Yuji Nakatsukasa and
Vanni Noferini On the stability of computing polynomial
roots via confederate linearizations . . 2391--2425
Froilán M. Dopico and
Javier González and
Daniel Kressner and
Valeria Simoncini Projection methods for large-scale
$T$-Sylvester equations . . . . . . . . 2427--2455
Martin Sauer and
Wilhelm Stannat Analysis and approximation of stochastic
nerve axon equations . . . . . . . . . . 2457--2481
Jan Büthe Estimating $ \pi (x) $ and related
functions under partial RH assumptions 2483--2498
Hao Chen Computing the Mazur and Swinnerton-Dyer
critical subgroup of elliptic curves . . 2499--2514
E. Jespers and
A. Kiefer and
Á. del Río Presentations of groups acting
discontinuously on direct products of
hyperbolic spaces . . . . . . . . . . . 2515--2552
Jean Fromentin and
Florent Hivert Exploring the tree of numerical
semigroups . . . . . . . . . . . . . . . 2553--2568
William D. Banks and
Igor E. Shparlinski On Gauss sums and the evaluation of
Stechkin's constant . . . . . . . . . . 2569--2581
Long Chen and
Ricardo H. Nochetto and
Enrique Otárola and
Abner J. Salgado Multilevel methods for nonuniformly
elliptic operators and fractional
diffusion . . . . . . . . . . . . . . . 2583--2607
Bernardo Cockburn and
Alan Demlow Hybridizable discontinuous Galerkin and
mixed finite element methods for
elliptic problems on surfaces . . . . . 2609--2638
Mark Ainsworth and
Johnny Guzmán and
Francisco-Javier Sayas Discrete extension operators for mixed
finite element spaces on locally refined
meshes . . . . . . . . . . . . . . . . . 2639--2650
Martin Campos Pinto and
Eric Sonnendrücker Gauss-compatible Galerkin schemes for
time-dependent Maxwell equations . . . . 2651--2685
Zhiming Chen and
Xueshuang Xiang and
Xiaohui Zhang Convergence of the PML method for
elastic wave scattering problems . . . . 2687--2714
Yanlai Chen and
Bernardo Cockburn and
Bo Dong Superconvergent HDG methods for linear,
stationary, third-order equations in
one-space dimension . . . . . . . . . . 2715--2742
Jean-David Benamou and
Francis Collino and
Jean-Marie Mirebeau Monotone and consistent discretization
of the Monge--Amp\`ere operator . . . . 2743--2775
C. Bauzet and
J. Charrier and
T. Gallouët Convergence of flux-splitting finite
volume schemes for hyperbolic scalar
conservation laws with a multiplicative
stochastic perturbation . . . . . . . . 2777--2813
Emmanuel Audusse and
François Bouchut and
Marie-Odile Bristeau and
Jacques Sainte-Marie Kinetic entropy inequality and
hydrostatic reconstruction scheme for
the Saint-Venant system . . . . . . . . 2815--2837
M. Bebendorf and
M. Bollhöfer and
M. Bratsch On the spectral equivalence of
hierarchical matrix preconditioners for
elliptic problems . . . . . . . . . . . 2839--2861
Philippe Chartier and
Florian Méhats and
Mechthild Thalhammer and
Yong Zhang Improved error estimates for splitting
methods applied to highly-oscillatory
nonlinear Schrödinger equations . . . . . 2863--2885
Daniel B. Szyld and
Fei Xue Preconditioned eigensolvers for
large-scale nonlinear Hermitian
eigenproblems with variational
characterizations. I. Extreme
eigenvalues . . . . . . . . . . . . . . 2887--2918
Jingrun Chen and
Jianfeng Lu Analysis of the divide-and-conquer
method for electronic structure
calculations . . . . . . . . . . . . . . 2919--2938
N. Gould and
C. Ortner and
D. Packwood A dimer-type saddle search algorithm
with preconditioning and linesearch . . 2939--2966
Cormac O'Sullivan Zeros of the dilogarithm . . . . . . . . 2967--2993
Kalle Leppälä Explicit lower bounds for linear forms 2995--3008
David J. Platt Numerical computations concerning the
GRH . . . . . . . . . . . . . . . . . . 3009--3027
Evelyne Hubert and
George Labahn Computation of invariants of finite
abelian groups . . . . . . . . . . . . . 3029--3050
Michaël Rao and
Matthieu Rosenfeld Avoidability of long $k$-abelian
repetitions . . . . . . . . . . . . . . 3051--3060
Vladica Andreji\'c and
Milos Tatarevic Searching for a counterexample to
Kurepa's conjecture . . . . . . . . . . 3061--3068
S. Nicaise and
I. Merabet A mixed discontinuous finite element
method for folded Naghdi's shell in
Cartesian coordinates . . . . . . . . . 1--47
Hengguang Li The $ W^1_p $ stability of the Ritz
projection on graded meshes . . . . . . 49--74
Erik Burman A stabilized nonconforming finite
element method for the elliptic Cauchy
problem . . . . . . . . . . . . . . . . 75--96
Alessio Porretta and
Enrique Zuazua Numerical hypocoercivity for the
Kolmogorov equation . . . . . . . . . . 97--119
Yingda Cheng and
Ching-Shan Chou and
Fengyan Li and
Yulong Xing $ L^2 $ stable discontinuous Galerkin
methods for one-dimensional two-way wave
equations . . . . . . . . . . . . . . . 121--155
Nina Aguillon and
Frédéric Lagouti\`ere and
Nicolas Seguin Convergence of finite volume schemes for
the coupling between the inviscid
Burgers equation and a particle . . . . 157--196
Francis J. Narcowich and
Stephen T. Rowe and
Joseph D. Ward A novel Galerkin method for solving PDES
on the sphere using highly localized
kernel bases . . . . . . . . . . . . . . 197--231
Ronald D. Haynes and
Felix Kwok Discrete analysis of domain
decomposition approaches for mesh
generation via the equidistribution
principle . . . . . . . . . . . . . . . 233--273
Kanya Ishizaka A solution to the energy minimization
problem constrained by a density
function . . . . . . . . . . . . . . . . 275--314
Yu-Hong Dai and
Deren Han and
Xiaoming Yuan and
Wenxing Zhang A sequential updating scheme of the
Lagrange multiplier for separable convex
programming . . . . . . . . . . . . . . 315--343
Tongke Wang and
Zhifang Liu and
Zhiyue Zhang The modified composite Gauss type rules
for singular integrals using Puiseux
expansions . . . . . . . . . . . . . . . 345--373
Nira Dyn and
Nir Sharon A global approach to the refinement of
manifold data . . . . . . . . . . . . . 375--395
Razvan Barbulescu and
Armand Lachand Some mathematical remarks on the
polynomial selection in NFS . . . . . . 397--418
Ali Kamalinejad and
Mehrdad Shahshahani On computations with dessins d'enfants 419--436
Julio Fernández and
Josep González Functions and differentials on the
non-split Cartan modular curve of level
$ 11 $ . . . . . . . . . . . . . . . . . 437--454
Bogdan Ichim and
Lukas Katthän and
Julio José Moyano-Fernández How to compute the Stanley depth of a
module . . . . . . . . . . . . . . . . . 455--472
Matteo Gallet and
Christoph Koutschan and
Zijia Li and
Georg Regensburger and
Josef Schicho and
Nelly Villamizar Planar linkages following a prescribed
motion . . . . . . . . . . . . . . . . . 473--506
Ossi Niemimäki and
Stefan Kurz and
Lauri Kettunen Structure-preserving mesh coupling based
on the Buffa--Christiansen complex . . . 507--524
Diego Paredes and
Frédéric Valentin and
Henrique M. Versieux On the robustness of multiscale
hybrid-mixed methods . . . . . . . . . . 525--548
Assyr Abdulle and
Patrick Henning Localized orthogonal decomposition
method for the wave equation with a
continuum of scales . . . . . . . . . . 549--587
Jessika Camaño and
Ricardo Oyarzúa and
Giordano Tierra Analysis of an augmented mixed-FEM for
the Navier--Stokes problem . . . . . . . 589--615
Zhiqiang Cai and
Cuiyu He and
Shun Zhang Residual-based a posteriori error
estimate for interface problems:
Nonconforming linear elements . . . . . 617--636
Martin J. Gander and
Yingxiang Xu Optimized Schwarz methods with
nonoverlapping circular domain
decomposition . . . . . . . . . . . . . 637--660
Holger Rauhut and
Christoph Schwab Compressive sensing Petrov--Galerkin
approximation of high-dimensional
parametric operator equations . . . . . 661--700
Markus Bachmayr and
Albert Cohen Kolmogorov widths and low-rank
approximations of parametric elliptic
PDEs . . . . . . . . . . . . . . . . . . 701--724
Jian-Guo Liu and
Rong Yang A random particle blob method for the
Keller--Segel equation and convergence
analysis . . . . . . . . . . . . . . . . 725--745
Christopher Bresten and
Sigal Gottlieb and
Zachary Grant and
Daniel Higgs and
David I. Ketcheson and
Adrian Németh Explicit strong stability preserving
multistep Runge--Kutta methods . . . . . 747--769
Helmut Harbrecht and
Michael Peters and
Markus Siebenmorgen On the quasi-Monte Carlo method with
Halton points for elliptic PDEs with
log-normal diffusion . . . . . . . . . . 771--797
Raffaello Seri Statistical properties of $b$-adic
diaphonies . . . . . . . . . . . . . . . 799--828
Frances Y. Kuo and
Ian H. Sloan and
Henryk Wo\'zniakowski Multivariate integration for analytic
functions with Gaussian kernels . . . . 829--853
Walter Gautschi Monotonicity properties of the zeros of
Freud and sub-range Freud polynomials:
Analytic and empirical results . . . . . 855--864
Javier Segura The Schwarzian--Newton method for
solving nonlinear equations, with
applications . . . . . . . . . . . . . . 865--879
Claude-Pierre Jeannerod and
Peter Kornerup and
Nicolas Louvet and
Jean-Michel Muller Error bounds on complex floating-point
multiplication with an FMA . . . . . . . 881--898
John B. Cosgrave and
Karl Dilcher A role for generalized Fermat numbers 899--933
Art\=uras Dubickas and
Kevin G. Hare and
Jonas Jankauskas No two non-real conjugates of a Pisot
number have the same imaginary part . . 935--950
Makoto Araya and
Masaaki Harada and
Sho Suda Quasi-unbiased Hadamard matrices and
weakly unbiased Hadamard matrices: a
coding-theoretic approach . . . . . . . 951--984
Jonathan Sorenson and
Jonathan Webster Strong pseudoprimes to twelve prime
bases . . . . . . . . . . . . . . . . . 985--1003
Daniel Peterseim Eliminating the pollution effect in
Helmholtz problems by local subscale
correction . . . . . . . . . . . . . . . 1005--1036
John W. Barrett and
Harald Garcke and
Robert Nürnberg Finite element approximation for the
dynamics of asymmetric fluidic
biomembranes . . . . . . . . . . . . . . 1037--1069
Buyang Li and
Weiwei Sun Maximal $ L^p $ analysis of finite
element solutions for parabolic
equations with nonsmooth coefficients in
convex polyhedra . . . . . . . . . . . . 1071--1102
Sudipto Chowdhury and
Thirupathi Gudi and
A. K. Nandakumaran Error bounds for a Dirichlet boundary
control problem based on energy spaces 1103--1126
D. Leykekhman and
M. Pruitt On the positivity of discrete harmonic
functions and the discrete Harnack
inequality for piecewise linear finite
elements . . . . . . . . . . . . . . . . 1127--1145
Christophe Buet and
Bruno Després and
Emmanuel Franck and
Thomas Leroy Proof of uniform convergence for a
cell-centered AP discretization of the
hyperbolic heat equation on general
meshes . . . . . . . . . . . . . . . . . 1147--1202
Christian Klingenberg and
Gero Schnücke and
Yinhua Xia Arbitrary Lagrangian--Eulerian
discontinuous Galerkin method for
conservation laws: Analysis and
application in one dimension . . . . . . 1203--1232
Yao Cheng and
Xiong Meng and
Qiang Zhang Application of generalized Gauss--Radau
projections for the local discontinuous
Galerkin method for linear
convection-diffusion equations . . . . . 1233--1267
Qin Li and
Jianfeng Lu and
Weiran Sun Half-space kinetic equations with
general boundary conditions . . . . . . 1269--1301
Alexandre Benoit and
Mioara Jolde\cs and
Marc Mezzarobba Rigorous uniform approximation of
$D$-finite functions using Chebyshev
expansions . . . . . . . . . . . . . . . 1303--1341
Carlo Garoni and
Carla Manni and
Stefano Serra-Capizzano and
Debora Sesana and
Hendrik Speleers Spectral analysis and spectral symbol of
matrices in isogeometric Galerkin
methods . . . . . . . . . . . . . . . . 1343--1373
Michael A. Bennett and
Nicolas Billerey Sums of two $S$-units via
Frey--Hellegouarch curves . . . . . . . 1375--1401
Jennifer S. Balakrishnan and
Amnon Besser and
J. Steffen Müller Computing integral points on
hyperelliptic curves using quadratic
Chabauty . . . . . . . . . . . . . . . . 1403--1434
Dohyeong Kim A modular approach to cubic Thue--Mahler
equations . . . . . . . . . . . . . . . 1435--1471
Joachim König Computation of Hurwitz spaces and new
explicit polynomials for almost simple
Galois groups . . . . . . . . . . . . . 1473--1498
Vladimir Yu. Protasov The Euler binary partition function and
subdivision schemes . . . . . . . . . . 1499--1524
Fernando D. Gaspoz and
Pedro Morin Errata to ``Approximation classes for
adaptive higher order finite element
approximation'' . . . . . . . . . . . . 1525--1526
Georgios Akrivis and
Buyang Li and
Christian Lubich Combining maximal regularity and energy
estimates for time discretizations of
quasilinear parabolic equations . . . . 1527--1552
Peipei Lu and
Huangxin Chen and
Weifeng Qiu An absolutely stable $ h p$-HDG method
for the time-harmonic Maxwell equations
with high wave number . . . . . . . . . 1553--1577
Buyang Li and
Zhimin Zhang Mathematical and numerical analysis of
the time-dependent Ginzburg--Landau
equations in nonconvex polygons based on
Hodge decomposition . . . . . . . . . . 1579--1608
Bernardo Cockburn and
Guosheng Fu and
Francisco Javier Sayas Superconvergence by $M$-decompositions.
Part I: General theory for HDG methods
for diffusion . . . . . . . . . . . . . 1609--1641
Aycil Cesmelioglu and
Bernardo Cockburn and
Weifeng Qiu Analysis of a hybridizable discontinuous
Galerkin method for the steady-state
incompressible Navier--Stokes equations 1643--1670
Hailong Guo and
Zhimin Zhang and
Ren Zhao Hessian recovery for finite element
methods . . . . . . . . . . . . . . . . 1671--1692
Wenming He and
Zhimin Zhang $ 2 k $ superconvergence of $ Q_k $
finite elements by anisotropic mesh
approximation in weighted Sobolev spaces 1693--1718
Hiroki Kojima and
Takayasu Matsuo and
Daisuke Furihata Some discrete inequalities for
central-difference type operators . . . 1719--1739
Vanni Noferini and
Javier Pérez Chebyshev rootfinding via computing
eigenvalues of colleague matrices: when
is it stable? . . . . . . . . . . . . . 1741--1767
Benjamin Berkels and
Alexander Effland and
Martin Rumpf A posteriori error control for the
binary Mumford--Shah model . . . . . . . 1769--1791
Xiao Wang and
Shiqian Ma and
Ya-xiang Yuan Penalty methods with stochastic
approximation for stochastic nonlinear
programming . . . . . . . . . . . . . . 1793--1820
Min Tao and
Xiaoming Yuan Accelerated Uzawa methods for convex
optimization . . . . . . . . . . . . . . 1821--1845
Michael Griebel and
Frances Y. Kuo and
Ian H. Sloan Note on ``The smoothing effect of
integration in $ \mathbb {R}^d $ and the
ANOVA decomposition'' . . . . . . . . . 1847--1854
Michael Griebel and
Frances Y. Kuo and
Ian H. Sloan The ANOVA decomposition of a non-smooth
function of infinitely many variables
can have every term smooth . . . . . . . 1855--1876
Miodrag M. Spalevi\'c On generalized averaged Gaussian
formulas. II . . . . . . . . . . . . . . 1877--1885
Jonathan Jaquette and
Miroslav Kramár On $ \epsilon $ approximations of
persistence diagrams . . . . . . . . . . 1887--1912
Akil Narayan and
John D. Jakeman and
Tao Zhou A Christoffel function weighted least
squares algorithm for collocation
approximations . . . . . . . . . . . . . 1913--1947
Jose Ignacio Burgos Gil and
Ariel Pacetti Hecke and Sturm bounds for Hilbert
modular forms over real quadratic fields 1949--1978
Steve Nugent and
John Voight On the arithmetic dimension of triangle
groups . . . . . . . . . . . . . . . . . 1979--2004
Ivan Marin and
Götz Pfeiffer The BMR freeness conjecture for the
$2$-reflection groups . . . . . . . . . 2005--2023
Xiaobing Feng and
Lauren Hennings and
Michael Neilan Finite element methods for second order
linear elliptic partial differential
equations in non-divergence form . . . . 2025--2051
Wenbin Chen and
Yanqiu Wang Minimal degree $ H(\mathrm {curl}) $ and
$ H(\mathrm {div}) $ conforming finite
elements on polytopal meshes . . . . . . 2053--2087
I. G. Graham and
E. A. Spence and
E. Vainikko Domain decomposition preconditioning for
high-frequency Helmholtz problems with
absorption . . . . . . . . . . . . . . . 2089--2127
Hél\`ene Barucq and
Théophile Chaumont-Frelet and
Christian Gout Stability analysis of heterogeneous
Helmholtz problems and finite element
solution based on propagation media
approximation . . . . . . . . . . . . . 2129--2157
Daniele A. Di Pietro and
Jérôme Droniou A Hybrid High-Order method for
Leray--Lions elliptic equations on
general meshes . . . . . . . . . . . . . 2159--2191
Douglas N. Arnold and
Lizao Li Finite element exterior calculus with
lower-order terms . . . . . . . . . . . 2193--2212
Daniele Boffi and
Dietmar Gallistl and
Francesca Gardini and
Lucia Gastaldi Optimal convergence of adaptive FEM for
eigenvalue clusters in mixed form . . . 2213--2237
Bangti Jin and
Raytcho Lazarov and
Vidar Thomée and
Zhi Zhou On nonnegativity preservation in finite
element methods for subdiffusion
equations . . . . . . . . . . . . . . . 2239--2260
Thomas Führer and
Norbert Heuer and
Michael Karkulik On the coupling of DPG and BEM . . . . . 2261--2284
Zhong-qing Wang and
Yu-ling Guo and
Li-jun Yi An $ h p$-version Legendre--Jacobi
spectral collocation method for Volterra
integro-differential equations with
smooth and weakly singular kernels . . . 2285--2324
Robert McLachlan and
Klas Modin and
Olivier Verdier A minimal-variable symplectic integrator
on spheres . . . . . . . . . . . . . . . 2325--2344
Lin Lin Localized spectrum slicing . . . . . . . 2345--2371
Máté Gerencsér and
István Gyöngy Localization errors in solving
stochastic partial differential
equations in the whole space . . . . . . 2373--2397
José L. López and
Pedro J. Pagola Analytic formulas for the evaluation of
the Pearcey integral . . . . . . . . . . 2399--2407
Przemys\law Rutka and
Ryszard Smarzewski Explicit barycentric formulae for
osculatory interpolation at roots of
classical orthogonal polynomials . . . . 2409--2427
Thomas Barron and
Christopher O'Neill and
Roberto Pelayo On dynamic algorithms for factorization
invariants in numerical monoids . . . . 2429--2447
David J. Platt Isolating some non-trivial zeros of zeta 2449--2467
Jan H. Dumke $p$-adic zeros of quintic forms . . . . 2469--2478
José A. Adell and
Alberto Lekuona Fast computation of the Stieltjes
constants . . . . . . . . . . . . . . . 2479--2492
Tom Fisher Higher descents on an elliptic curve
with a rational $2$-torsion point . . . 2493--2518
L. Guarnieri and
L. Vendramin Skew braces and the Yang--Baxter
equation . . . . . . . . . . . . . . . . 2519--2534
Pierre Lezowski and
Kevin J. McGown The Euclidean algorithm in quintic and
septic cyclic fields . . . . . . . . . . 2535--2549
Youness Lamzouri and
Xiannan Li and
Kannan Soundararajan Corrigendum to ``Conditional bounds for
the least quadratic non-residue and
related problems'' . . . . . . . . . . . 2551--2554
Dietmar Gallistl Stable splitting of polyharmonic
operators by generalized Stokes systems 2555--2577
Weikun Shan and
Huiyuan Li The triangular spectral element method
for Stokes eigenvalues . . . . . . . . . 2579--2611
Karl Larsson and
Mats G. Larson A continuous/discontinuous Galerkin
method and a priori error estimates for
the biharmonic problem on surfaces . . . 2613--2649
M. Aurada and
M. Feischl and
T. Führer and
M. Karkulik and
J. M. Melenk and
D. Praetorius Local inverse estimates for non-local
boundary integral operators . . . . . . 2651--2686
Danping Yang Non-iterative parallel Schwarz
algorithms based on overlapping domain
decomposition for parabolic partial
differential equations . . . . . . . . . 2687--2718
Hui Huang and
Jian-Guo Liu Error estimate of a random particle blob
method for the Keller--Segel equation 2719--2744
David M. Ambrose and
Yang Liu and
Michael Siegel Convergence of a boundary integral
method for $3$D interfacial Darcy flow
with surface tension . . . . . . . . . . 2745--2775
M. N. Spijker Stability and boundedness in the
numerical solution of initial value
problems . . . . . . . . . . . . . . . . 2777--2798
Victor Y. Pan Fast approximate computations with
Cauchy matrices and polynomials . . . . 2799--2826
Frances Y. Kuo and
Robert Scheichl and
Christoph Schwab and
Ian H. Sloan and
Elisabeth Ullmann Multilevel Quasi-Monte Carlo methods for
lognormal diffusion problems . . . . . . 2827--2860
J. Rafael Sendra and
David Sevilla and
Carlos Villarino Covering rational ruled surfaces . . . . 2861--2875
Anton Leykin and
Daniel Plaumann Determinantal representations of
hyperbolic curves via polynomial
homotopy continuation . . . . . . . . . 2877--2888
Jens Franke and
Thorsten Kleinjung and
Jan Büthe and
Alexander Jost A practical analytic method for
calculating $ \pi (x) $ . . . . . . . . 2889--2909
Adrian-Maria Scheerer Computable absolutely normal numbers and
discrepancies . . . . . . . . . . . . . 2911--2926
Nicolás Álvarez and
Verónica Becher M. Levin's construction of absolutely
normal numbers with very low discrepancy 2927--2946
Markus Hittmeir Deterministic factorization of sums and
differences of powers . . . . . . . . . 2947--2954
Jürgen Hausen and
Simon Keicher and
Rüdiger Wolf Computing automorphisms of Mori dream
spaces . . . . . . . . . . . . . . . . . 2955--2974
Kevin Atighehchi and
Stéphane Ballet and
Alexis Bonnecaze and
Robert Rolland Arithmetic in finite fields based on the
Chudnovsky--Chudnovsky multiplication
algorithm . . . . . . . . . . . . . . . 2975--3000
Luis Felipe Tabera A parametric version of the
Hilbert--Hurwitz theorem using
hypercircles . . . . . . . . . . . . . . 3001--3018
Elliot Wells Computing canonical heights on the
projective line with no factorization 3019--3029
William Hart and
David Harvey and
Wilson Ong Irregular primes to two billion . . . . 3031--3049
Simone Brugiapaglia and
Fabio Nobile and
Stefano Micheletti and
Simona Perotto A theoretical study of COmpRessed
SolvING for
advection--diffusion-reaction problems 1--38
Masahisa Tabata and
Shinya Uchiumi An exactly computable Lagrange--Galerkin
scheme for the Navier--Stokes equations
and its error estimates . . . . . . . . 39--67
Weifeng Qiu and
Jiguang Shen and
Ke Shi An HDG method for linear elasticity with
strong symmetric stresses . . . . . . . 69--93
D. M. Williams An entropy stable, hybridizable
discontinuous Galerkin method for the
compressible Navier--Stokes equations 95--121
Hailiang Liu and
Hairui Wen Error estimates for the AEDG method to
one-dimensional linear
convection--diffusion equations . . . . 123--148
R. Altmann and
C. Zimmer Runge--Kutta methods for linear
semi-explicit operator
differential-algebraic equations . . . . 149--174
Jan Glaubitz and
Philipp Öffner and
Thomas Sonar Application of modal filtering to a
spectral difference method . . . . . . . 175--207
Steffen Börm Adaptive compression of large vectors 209--235
Qiang Ye Accurate inverses for computing
eigenvalues of extremely ill-conditioned
matrices and differential operators . . 237--259
A. Martínez-Finkelshtein and
A. Sri Ranga and
D. O. Veronese Extreme zeros in a sequence of
para-orthogonal polynomials and bounds
for the support of the measure . . . . . 261--288
Pedro Freitas Sharp bounds for the modulus and phase
of Hankel functions with applications to
Jaeger integrals . . . . . . . . . . . . 289--308
Yunyun Ma and
Yuesheng Xu Computing highly oscillatory integrals 309--345
Bin Han and
Qingtang Jiang and
Zuowei Shen and
Xiaosheng Zhuang Symmetric canonical quincunx tight
framelets with high vanishing moments
and smoothness . . . . . . . . . . . . . 347--379
Nicolas Mascot Certification of modular Galois
representations . . . . . . . . . . . . 381--423
Harris B. Daniels and
Álvaro Lozano-Robledo and
Filip Najman and
Andrew V. Sutherland Torsion subgroups of rational elliptic
curves over the compositum of all cubic
fields . . . . . . . . . . . . . . . . . 425--458
Peter Bruin and
Andrea Ferraguti On $L$-functions of quadratic $ \mathbb
{Q}$-curves . . . . . . . . . . . . . . 459--499
King Cheong Fung and
Ben Kane On sign changes of cusp forms and the
halting of an algorithm to construct a
supersingular elliptic curve with a
given endomorphism ring . . . . . . . . 501--514
Chunmei Wang and
Junping Wang A primal-dual weak Galerkin finite
element method for second order elliptic
equations in non-divergence form . . . . 515--545
Snorre H. Christiansen On eigenmode approximation for Dirac
equations: Differential forms and
fractional Sobolev spaces . . . . . . . 547--580
J. C. Latché and
K. Saleh A convergent staggered scheme for the
variable density incompressible
Navier--Stokes equations . . . . . . . . 581--632
Erik Burman and
Peter Hansbo and
Mats G. Larson A cut finite element method with
boundary value correction . . . . . . . 633--657
Duk-Soon Oh and
Olof B. Widlund and
Stefano Zampini and
Clark R. Dohrmann BDDC Algorithms with deluxe scaling and
adaptive selection of primal constraints
for Raviart--Thomas vector fields . . . 659--692
Qian Zhang and
Jiwei Zhang and
Shidong Jiang and
Zhimin Zhang Numerical solution to a linearized time
fractional KdV equation on unbounded
domains . . . . . . . . . . . . . . . . 693--719
Andrew M. Stuart and
Aretha L. Teckentrup Posterior consistency for Gaussian
process approximations of Bayesian
posterior distributions . . . . . . . . 721--753
Lukasz Szpruch and
Xilíng Zhang $V$-integrability, asymptotic stability
and comparison property of explicit
numerical schemes for non-linear SDEs 755--783
Robert Plato and
Peter Mathé and
Bernd Hofmann Optimal rates for Lavrentiev
regularization with adjoint source
conditions . . . . . . . . . . . . . . . 785--801
Claude-Pierre Jeannerod and
Siegfried M. Rump On relative errors of floating-point
operations: Optimal bounds and
applications . . . . . . . . . . . . . . 803--819
Daniel Krenn and
Volker Ziegler Non-minimality of the width-$w$
non-adjacent form in conjunction with
trace one $ \tau $-adic digit expansions
and Koblitz curves in characteristic two 821--854
Niko Rebenich and
T. Aaron Gulliver and
Stephen Neville and
Ulrich Speidel An analog of the prime number theorem
for finite fields via truncated
polylogarithm expansions . . . . . . . . 855--877
Oliver D. King and
Cris Poor and
Jerry Shurman and
David S. Yuen Using Katsurada's determination of the
Eisenstein series to compute Siegel
eigenforms . . . . . . . . . . . . . . . 879--892
Dorian Nogneng and
Éric Schost On the evaluation of some sparse
polynomials . . . . . . . . . . . . . . 893--904
Michael DiPasquale Dimension of mixed splines on polytopal
cells . . . . . . . . . . . . . . . . . 905--939
Ruyong Feng On the computation of the Galois group
of linear difference equations . . . . . 941--965
A. Detinko and
D. L. Flannery and
A. Hulpke Zariski density and computing in
arithmetic groups . . . . . . . . . . . 967--986
William Kuszmaul Fast algorithms for finding pattern
avoiders and counting pattern
occurrences in permutations . . . . . . 987--1011
Greg Hurst Computations of the Mertens function and
improved bounds on the Mertens
conjecture . . . . . . . . . . . . . . . 1013--1028
Erik Burman and
Peter Hansbo Stabilized nonconforming finite element
methods for data assimilation in
incompressible flows . . . . . . . . . . 1029--1050
D. Broersen and
W. Dahmen and
R. P. Stevenson On the stability of DPG formulations of
transport equations . . . . . . . . . . 1051--1082
Frédéric Coquel and
Shi Jin and
Jian-Guo Liu and
Li Wang Entropic sub-cell shock capturing
schemes via Jin--Xin relaxation and
Glimm front sampling for scalar
conservation laws . . . . . . . . . . . 1083--1126
T. Gallouët and
R. Herbin and
J.-C. Latché and
D. Maltese Convergence of the MAC scheme for the
compressible stationary Navier--Stokes
equations . . . . . . . . . . . . . . . 1127--1163
Jian-Guo Liu and
Li Wang and
Zhennan Zhou Positivity-preserving and asymptotic
preserving method for $2$D Keller--Segal
equations . . . . . . . . . . . . . . . 1165--1189
Yongyong Cai and
Yongjun Yuan Uniform error estimates of the
conservative finite difference method
for the Zakharov system in the subsonic
limit regime . . . . . . . . . . . . . . 1191--1225
Simon Baumstark and
Erwan Faou and
Katharina Schratz Uniformly accurate exponential-type
integrators for Klein--Gordon equations
with asymptotic convergence to the
classical NLS splitting . . . . . . . . 1227--1254
Shmuel Friedland and
Lek-Heng Lim Nuclear norm of higher-order tensors . . 1255--1281
Wanyou Cheng and
Yu-Hong Dai Gradient-based method with active set
strategy for $ \ell_1 $ optimization . . 1283--1305
E. G. Birgin and
N. Kreji\'c and
J. M. Martínez On the employment of inexact restoration
for the minimization of functions whose
evaluation is subject to errors . . . . 1307--1326
Benedetta Morini and
Margherita Porcelli and
Philippe L. Toint Approximate norm descent methods for
constrained nonlinear systems . . . . . 1327--1351
Martin Hutzenthaler and
Arnulf Jentzen and
Xiaojie Wang Exponential integrability properties of
numerical approximation processes for
nonlinear stochastic differential
equations . . . . . . . . . . . . . . . 1353--1413
Abdellah Chkifa and
Nick Dexter and
Hoang Tran and
Clayton G. Webster Polynomial approximation via compressed
sensing of high-dimensional functions on
lower sets . . . . . . . . . . . . . . . 1415--1450
Laura Faber and
Habiba Kadiri Corrigendum to New bounds for $ \psi (x)
$ . . . . . . . . . . . . . . . . . . . 1451--1455
Enrique González-Jiménez and
Álvaro Lozano-Robledo On the torsion of rational elliptic
curves over quartic fields . . . . . . . 1457--1478
Hugo Labrande Computing Jacobi's theta in quasi-linear
time . . . . . . . . . . . . . . . . . . 1479--1508
Andrzej D\kabrowski and
Lucjan Szymaszkiewicz Orders of Tate--Shafarevich groups for
the Neumann--Setzer type elliptic curves 1509--1522
P. Drungilas and
J. Jankauskas and
J. \vSiurys On Littlewood and Newman polynomial
multiples of Borwein polynomials . . . . 1523--1541
A. Linke and
C. Merdon and
M. Neilan and
F. Neumann Quasi-optimality of a pressure-robust
nonconforming finite element method for
the Stokes Problem . . . . . . . . . . . 1543--1566
Hengguang Li An anisotropic finite element method on
polyhedral domains: interpolation error
analysis . . . . . . . . . . . . . . . . 1567--1600
Long Chen and
Jun Hu and
Xuehai Huang Fast auxiliary space preconditioners for
linear elasticity in mixed form . . . . 1601--1633
Martin J. Gander and
Soheil Hajian Analysis of Schwarz methods for a
hybridizable discontinuous Galerkin
discretization: the many-subdomain case 1635--1657
Ruijian He and
Xinlong Feng and
Zhangxin Chen $ H^1 $-Superconvergence of a difference
finite element method based on the $
P_1$--$ P_1$-conforming element on
non-uniform meshes for the $3$D Poisson
equation . . . . . . . . . . . . . . . . 1659--1688
I. Cravero and
G. Puppo and
M. Semplice and
G. Visconti CWENO: Uniformly accurate
reconstructions for balance laws . . . . 1689--1719
Matt Elsey and
Selim Esedo\uglu Threshold dynamics for anisotropic
surface energies . . . . . . . . . . . . 1721--1756
Tobias Ramming and
Holger Wendland A kernel-based discretisation method for
first order partial differential
equations . . . . . . . . . . . . . . . 1757--1781
Lehel Banjai and
Alexander Rieder Convolution quadrature for the wave
equation with a nonlinear impedance
boundary condition . . . . . . . . . . . 1783--1819
Gabriel Acosta and
Juan Pablo Borthagaray and
Oscar Bruno and
Martín Maas Regularity theory and high order
numerical methods for the
($1$D)-fractional Laplacian . . . . . . 1821--1857
Lili Ju and
Xiao Li and
Zhonghua Qiao and
Hui Zhang Energy stability and error estimates of
exponential time differencing schemes
for the epitaxial growth model without
slope selection . . . . . . . . . . . . 1859--1885
Weizhang Huang and
Lennard Kamenski On the mesh nonsingularity of the moving
mesh PDE method . . . . . . . . . . . . 1887--1911
Alex Townsend and
Marcus Webb and
Sheehan Olver Fast polynomial transforms based on
Toeplitz and Hankel matrices . . . . . . 1913--1934
A. Melman Eigenvalue bounds for matrix polynomials
in generalized bases . . . . . . . . . . 1935--1948
T. Hangelbroek and
F. J. Narcowich and
C. Rieger and
J. D. Ward An inverse theorem for compact Lipschitz
regions in $ \mathbb {R}^d $ using
localized kernel bases . . . . . . . . . 1949--1989
Jan Büthe An analytic method for bounding $ \psi
(x) $ . . . . . . . . . . . . . . . . . 1991--2009
Yoonjin Lee and
Yoon Kyung Park A continued fraction of order twelve as
a modular function . . . . . . . . . . . 2011--2036
Klim Efremenko and
J. M. Landsberg and
Hal Schenck and
Jerzy Weyman The method of shifted partial
derivatives cannot separate the
permanent from the determinant . . . . . 2037--2045
Zachary Charles Generating random factored ideals in
number fields . . . . . . . . . . . . . 2047--2056
Yongyong Cai and
Jie Shen Error estimates for a fully discretized
scheme to a Cahn--Hilliard phase-field
model for two-phase incompressible flows 2057--2090
Johnny Guzmán and
Maxim Olshanskii Inf-sup stability of geometrically
unfitted Stokes finite elements . . . . 2091--2112
Sebastian Franz and
Gunar Matthies A unified framework for time-dependent
singularly perturbed problems with
discontinuous Galerkin methods in time 2113--2132
Weizhu Bao and
Chunmei Su Uniform error bounds of a finite
difference method for the
Klein--Gordon--Zakharov system in the
subsonic limit regime . . . . . . . . . 2133--2158
Philippe Angot and
Rima Cheaytou On the error estimates of the vector
penalty-projection methods: Second-order
scheme . . . . . . . . . . . . . . . . . 2159--2187
Jianfeng Lu and
Zhennan Zhou Frozen Gaussian approximation with
surface hopping for mixed
quantum-classical dynamics: a
mathematical justification of fewest
switches surface hopping algorithms . . 2189--2232
R. B. Lehoucq and
F. J. Narcowich and
S. T. Rowe and
J. D. Ward A meshless Galerkin method for non-local
diffusion using localized kernel bases 2233--2258
Kassem Mustapha FEM for time-fractional diffusion
equations, novel optimal error analyses 2259--2272
V. J. Ervin and
N. Heuer and
J. P. Roop Regularity of the solution to $1$-D
fractional order diffusion equations . . 2273--2294
Yiannis Hadjimichael and
David I. Ketcheson Strong-stability-preserving additive
linear multistep methods . . . . . . . . 2295--2320
L. Lopez and
S. Maset Time-transformations for the event
location in discontinuous ODEs . . . . . 2321--2341
Bjoern Bringmann and
Daniel Cremers and
Felix Krahmer and
Michael Moeller The homotopy method revisited: Computing
solution paths of $ \ell_1$-regularized
problems . . . . . . . . . . . . . . . . 2343--2364
Catherine Kublik and
Richard Tsai An extrapolative approach to integration
over hypersurfaces in the level set
framework . . . . . . . . . . . . . . . 2365--2392
Christian Wuthrich Numerical modular symbols for elliptic
curves . . . . . . . . . . . . . . . . . 2393--2423
José Ignacio Burgos Gil and
Ricardo Menares and
Juan Rivera-Letelier On the essential minimum of Faltings'
height . . . . . . . . . . . . . . . . . 2425--2459
Binzhou Xia Cyclotomic difference sets in finite
fields . . . . . . . . . . . . . . . . . 2461--2482
Lo\"\ic Grenié and
Giuseppe Molteni Explicit bounds for generators of the
class group . . . . . . . . . . . . . . 2483--2511
Gregor Kemper and
Ngo Viet Trung and
Nguyen Thi Van Anh Toward a theory of monomial preorders 2513--2537
Maria Bras-Amorós and
Julio Fernández-González Computation of numerical semigroups by
means of seeds . . . . . . . . . . . . . 2539--2550
Janne I. Kokkala and
Patric R. J. Östergård The chromatic number of the square of
the $8$-cube . . . . . . . . . . . . . . 2551--2561
Léna\"\ic Chizat and
Gabriel Peyré and
Bernhard Schmitzer and
François-Xavier Vialard Scaling algorithms for unbalanced
optimal transport problems . . . . . . . 2563--2609
Christian Kreuzer and
Emmanuil H. Georgoulis Convergence of adaptive discontinuous
Galerkin methods . . . . . . . . . . . . 2611--2640
Paul Houston and
Thomas P. Wihler An $ h p$-adaptive
Newton-discontinuous-Galerkin finite
element approach for semilinear elliptic
boundary value problems . . . . . . . . 2641--2674
Andrea Cangiani and
Emmanuil H. Georgoulis and
Younis A. Sabawi Adaptive discontinuous Galerkin methods
for elliptic interface problems . . . . 2675--2707
Jeonghun J. Lee and
Ragnar Winther Local coderivatives and approximation of
Hodge Laplace problems . . . . . . . . . 2709--2735
Siyang Wang and
Anna Nissen and
Gunilla Kreiss Convergence of finite difference methods
for the wave equation in two space
dimensions . . . . . . . . . . . . . . . 2737--2763
Ralf Kornhuber and
Daniel Peterseim and
Harry Yserentant An analysis of a class of variational
multiscale methods based on subspace
decomposition . . . . . . . . . . . . . 2765--2774
Éliane Bécache and
Patrick Joly and
Valentin Vinoles On the analysis of perfectly matched
layers for a class of dispersive media
and application to negative index
metamaterials . . . . . . . . . . . . . 2775--2810
Dario A. Bini and
Stefano Massei and
Beatrice Meini Semi-infinite quasi-Toeplitz matrices
with applications to QBD stochastic
processes . . . . . . . . . . . . . . . 2811--2830
Yang Zhou and
Xiaojun Chen Spherical $ t_\epsilon $-designs for
approximations on the sphere . . . . . . 2831--2855
Zhijian He Quasi-Monte Carlo for discontinuous
integrands with singularities along the
boundary of the unit cube . . . . . . . 2857--2870
Jared Duker Lichtman and
Carl Pomerance Improved error bounds for the Fermat
primality test on random inputs . . . . 2871--2890
Andrew R. Booker Finite connected components of the
aliquot graph . . . . . . . . . . . . . 2891--2902
Stål Aanderaa and
Lars Kristiansen and
Hans Kristian Ruud Search for good examples of Hall's
conjecture . . . . . . . . . . . . . . . 2903--2914
Markus Hittmeir A babystep--giantstep method for faster
deterministic integer factorization . . 2915--2935
Jonathan W. Sands and
Brett A. Tangedal Computing annihilators of class groups
from derivatives of $L$-functions . . . 2937--2953
Philip Brinkmann and
Günter M. Ziegler Small $f$-vectors of $3$-spheres and of
$4$-polytopes . . . . . . . . . . . . . 2955--2975
Frédéric Chyzak and
Thomas Dreyfus and
Philippe Dumas and
Marc Mezzarobba Computing solutions of linear Mahler
equations . . . . . . . . . . . . . . . 2977--3021
Javier Cilleruelo and
Florian Luca and
Lewis Baxter Every positive integer is a sum of three
palindromes . . . . . . . . . . . . . . 3023--3055
Buyang Li Analyticity, maximal regularity and
maximum-norm stability of semi-discrete
finite element solutions of parabolic
equations in nonconvex polyhedra . . . . 1--44
Felipe Lepe and
Salim Meddahi and
David Mora and
Rodolfo Rodríguez Acoustic vibration problem for
dissipative fluids . . . . . . . . . . . 45--71
Dietmar Gallistl Rayleigh--Ritz approximation of the
inf--sup constant for the divergence . . 73--89
Haijin Wang and
Yunxian Liu and
Qiang Zhang and
Chi-Wang Shu Local discontinuous Galerkin methods
with implicit-explicit time-marching for
time-dependent incompressible fluid flow 91--121
Qiang Du and
Lili Ju and
Jianfang Lu A discontinuous Galerkin method for
one-dimensional time-dependent nonlocal
diffusion problems . . . . . . . . . . . 123--147
L. Beirão da Veiga and
D. Mora and
G. Rivera Virtual elements for a shear-deflection
formulation of Reissner--Mindlin plates 149--178
Martin W. Licht Smoothed projections over weakly
Lipschitz domains . . . . . . . . . . . 179--210
Junping Wang and
Qilong Zhai and
Ran Zhang and
Shangyou Zhang A weak Galerkin finite element scheme
for the Cahn--Hilliard equation . . . . 211--235
Yanqiu Wang A nonconforming Crouzeix--Raviart type
finite element on polygonal meshes . . . 237--271
Pierre Lissy and
Ionel Roven\cta Optimal filtration for the approximation
of boundary controls for the
one-dimensional wave equation using a
finite-difference method . . . . . . . . 273--291
Igor Moret and
Paolo Novati Krylov subspace methods for functions of
fractional differential operators . . . 293--312
Jared Aurentz and
Thomas Mach and
Leonardo Robol and
Raf Vandebril and
David S. Watkins Fast and backward stable computation of
eigenvalues and eigenvectors of matrix
polynomials . . . . . . . . . . . . . . 313--347
Marko Lange and
Siegfried M. Rump Sharp estimates for perturbation errors
in summations . . . . . . . . . . . . . 349--368
A. Hajdu and
L. Hajdu and
R. Tijdeman Finding well approximating lattices for
a finite set of points . . . . . . . . . 369--387
Kevin J. McGown and
Jonathan W. Sands and
Daniel Valli\`eres Numerical evidence for higher order
Stark-type conjectures . . . . . . . . . 389--420
Eslam Badr and
Francesc Bars and
Elisa Lorenzo García On twists of smooth plane curves . . . . 421--438
Jan Tuitman Computing zeta functions of generic
projective hypersurfaces in larger
characteristic . . . . . . . . . . . . . 439--451
A. S. I. Anema Elliptic curves maximal over extensions
of finite base fields . . . . . . . . . 453--465
Andrew J. Chan and
Diane Maclagan Gröbner bases over fields with valuations 467--483
Jens Forsgård and
Laura Felicia Matusevich and
Nathan Mehlhop and
Timo de Wolff Lopsided approximation of amoebas . . . 485--500
David Harvey and
Joris van der Hoeven Faster integer multiplication using
plain vanilla FFT primes . . . . . . . . 501--514
Johnny Guzmán and
L. Ridgway Scott The Scott--Vogelius finite elements
revisited . . . . . . . . . . . . . . . 515--529
Shuonan Wu and
Jinchao Xu Nonconforming finite element spaces for
$ 2 m $ th order partial differential
equations on $ \mathbb {R}^n $
simplicial grids when $ m = n + 1 $ . . 531--551
Kaibo Hu and
Jinchao Xu Structure-preserving finite element
methods for stationary MHD models . . . 553--581
Andrew Gillette and
Tyler Kloefkorn Trimmed serendipity finite element
differential forms . . . . . . . . . . . 583--606
Martin W. Licht Smoothed projections and mixed boundary
conditions . . . . . . . . . . . . . . . 607--635
R. H. Nochetto and
D. Ntogkas and
W. Zhang Two-scale method for the Monge--Amp\`ere
equation: Convergence to the viscosity
solution . . . . . . . . . . . . . . . . 637--664
Jan Nordström and
Cristina La Cognata Energy stable boundary conditions for
the nonlinear incompressible
Navier--Stokes equations . . . . . . . . 665--690
Sulin Wang and
Zhengfu Xu Total variation bounded flux limiters
for high order finite difference schemes
solving one-dimensional scalar
conservation laws . . . . . . . . . . . 691--716
Ludwig Gauckler and
Jianfeng Lu and
Jeremy L. Marzuola and
Frédéric Rousset and
Katharina Schratz Trigonometric integrators for
quasilinear wave equations . . . . . . . 717--749
Jörg Grande Red--green refinement of simplicial
meshes in $d$ dimensions . . . . . . . . 751--782
Parsiad Azimzadeh A fast and stable test to check if a
weakly diagonally dominant matrix is a
nonsingular $M$-matrix . . . . . . . . . 783--800
Matthias Beckmann and
Armin Iske Error estimates and convergence rates
for filtered back projection . . . . . . 801--835
Zev Klagsbrun and
Travis Sherman and
James Weigandt The Elkies curve has rank 28 subject
only to GRH . . . . . . . . . . . . . . 837--846
Pascal Molin and
Christian Neurohr Computing period matrices and the
Abel--Jacobi map of superelliptic curves 847--888
Davide Lombardo Computing the geometric endomorphism
ring of a genus-2 Jacobian . . . . . . . 889--929
Geoff Bailey and
Stephen D. Cohen and
Nicole Sutherland and
Tim Trudgian Existence results for primitive elements
in cubic and quartic extensions of a
finite field . . . . . . . . . . . . . . 931--947
Dilum De Silva and
Michael J. Mossinghoff and
Vincent Pigno and
Christopher Pinner The Lind--Lehmer constant for certain
$p$-groups . . . . . . . . . . . . . . . 949--972
Kwang-Seob Kim and
John C. Miller Class numbers of large degree nonabelian
number fields . . . . . . . . . . . . . 973--981
Aleksander Malni\vc and
Rok Po\vzar On split liftings with sectional
complements . . . . . . . . . . . . . . 983--1005
Paul Pollack and
Peter Schorn Dirichlet's proof of the three-square
theorem: an algorithmic perspective . . 1007--1019
Hubertus Grillmeier and
Günther Grün Nonnegativity preserving convergent
schemes for stochastic porous-medium
equations . . . . . . . . . . . . . . . 1021--1059
Seungchan Ko and
Endre Süli Finite element approximation of steady
flows of generalized Newtonian fluids
with concentration-dependent power-law
index . . . . . . . . . . . . . . . . . 1061--1090
Dietmar Gallistl Numerical approximation of planar
oblique derivative problems in
nondivergence form . . . . . . . . . . . 1091--1119
Marlis Hochbruck and
Andreas Sturm Upwind discontinuous Galerkin space
discretization and locally implicit time
integration for linear Maxwell's
equations . . . . . . . . . . . . . . . 1121--1153
Mariarosa Mazza and
Ahmed Ratnani and
Stefano Serra-Capizzano Spectral analysis and spectral symbol
for the $2$D curl--curl (stabilized)
operator with applications to the
related iterative solutions . . . . . . 1155--1188
Froilán M. Dopico and
Javier Pérez and
Paul Van Dooren Structured backward error analysis of
linearized structured polynomial
eigenvalue problems . . . . . . . . . . 1189--1228
J. F. van Diejen and
E. Emsiz Exact cubature rules for symmetric
functions . . . . . . . . . . . . . . . 1229--1249
Tamiru Jarso and
Tim Trudgian Quadratic non-residues that are not
primitive roots . . . . . . . . . . . . 1251--1260
Bartosz \'Zra\lek An extension of a result about divisors
in a residue class and its application
to reducing integer factorization to
computing Euler's totient . . . . . . . 1261--1272
Aurore Guillevic Faster individual discrete logarithms in
finite fields of composite extension
degree . . . . . . . . . . . . . . . . . 1273--1301
Edgar Costa and
Nicolas Mascot and
Jeroen Sijsling and
John Voight Rigorous computation of the endomorphism
ring of a Jacobian . . . . . . . . . . . 1303--1339
Michael A. Bennett and
Adela Gherga and
Andrew Rechnitzer Computing elliptic curves over $ \mathbb
{Q} $ . . . . . . . . . . . . . . . . . 1341--1390
Ludovic Brieulle and
Luca De Feo and
Javad Doliskani and
Jean-Pierre Flori and
Éric Schost Computing isomorphisms and embeddings of
finite fields . . . . . . . . . . . . . 1391--1426
Jim Hoste and
Patrick D. Shanahan An enumeration process for racks . . . . 1427--1448
Svyatoslav Covanov and
Emmanuel Thomé Fast integer multiplication using
generalized Fermat primes . . . . . . . 1449--1477
Yong Feng and
Jingwei Chen and
Wenyuan Wu The PSLQ algorithm for empirical data 1479--1501
Hanh My Nguyen and
Carl Pomerance The reciprocal sum of the amicable
numbers . . . . . . . . . . . . . . . . 1503--1526
Natalia Kopteva Logarithm cannot be removed in maximum
norm error estimates for linear finite
elements in $3$D . . . . . . . . . . . . 1527--1532
Leo G. Rebholz and
Alex Viguerie and
Mengying Xiao Efficient nonlinear iteration schemes
based on algebraic splitting for the
incompressible Navier--Stokes equations 1533--1557
Victor Calo and
Matteo Cicuttin and
Quanling Deng and
Alexandre Ern Spectral approximation of elliptic
operators by the Hybrid High-Order
method . . . . . . . . . . . . . . . . . 1559--1586
Thomas Führer and
Norbert Heuer and
Antti H. Niemi An ultraweak formulation of the
Kirchhoff--Love plate bending model and
DPG approximation . . . . . . . . . . . 1587--1619
Wasilij Barsukow Stationarity preserving schemes for
multi-dimensional linear systems . . . . 1621--1645
Michael Hanke and
Roswitha März and
Caren Tischendorf Least-squares collocation for
higher-index linear
differential-algebraic equations:
Estimating the instability threshold . . 1647--1683
Wenyi Tian and
Xiaoming Yuan An alternating direction method of
multipliers with a worst-case $ O(1 /
n^2) $ convergence rate . . . . . . . . 1685--1713
Max Gunzburger and
Buyang Li and
Jilu Wang Sharp convergence rates of time
discretization for stochastic
time-fractional PDEs subject to additive
space-time white noise . . . . . . . . . 1715--1741
Jie Shen and
Yingwei Wang and
Jianlin Xia Fast structured Jacobi--Jacobi
transforms . . . . . . . . . . . . . . . 1743--1772
Blanca Bujanda and
José and
L. López and
Pedro J. Pagola Convergent expansions of the confluent
hypergeometric functions in terms of
elementary functions . . . . . . . . . . 1773--1789
Przemys\law Rutka and
Ryszard Smarzewski Difference inequalities and barycentric
identities for classical discrete
iterated weights . . . . . . . . . . . . 1791--1804
Gerg\Ho Nemes and
Adri B. Olde Daalhuis Asymptotic expansions for the incomplete
gamma function in the transition regions 1805--1827
Fredrik Johansson and
Iaroslav V. Blagouchine Computing Stieltjes constants using
complex integration . . . . . . . . . . 1829--1850
Laura Capuano and
Francesco Veneziano and
Umberto Zannier An effective criterion for periodicity
of $ \ell $-adic continued fractions . . 1851--1882
Andreas Weingartner On the constant factor in several
related asymptotic estimates . . . . . . 1883--1902
Andrew R. Booker and
Stephen D. Cohen and
Nicole Sutherland and
Tim Trudgian Primitive values of quadratic
polynomials in a finite field . . . . . 1903--1912
Tim Dokchitser and
Christopher Doris $3$-torsion and conductor of genus 2
curves . . . . . . . . . . . . . . . . . 1913--1927
Georges Gras Heuristics and conjectures in the
direction of a $p$-adic Brauer--Siegel
Theorem . . . . . . . . . . . . . . . . 1929--1965
Christian Bean and
Bjarki Gudmundsson and
Henning Ulfarsson Automatic discovery of structural rules
of permutation classes . . . . . . . . . 1967--1990
Joachim von zur Gathen Iteration entropy . . . . . . . . . . . 1991--2003
Federico Amadio Guidi and
Sofia Lindqvist and
Giacomo Micheli Full orbit sequences in affine spaces
via fractional jumps and pseudorandom
number generation . . . . . . . . . . . 2005--2025
Juan González-Meneses and
Marithania Silvero Polynomial braid combing . . . . . . . . 2027--2045
Xiaoli Li and
Jie Shen and
Hongxing Rui Energy stability and convergence of SAV
block-centered finite difference method
for gradient flows . . . . . . . . . . . 2047--2068
F. Guillén-González and
M. A. Rodríguez-Bellido and
D. A. Rueda-Gómez Unconditionally energy stable fully
discrete schemes for a chemo-repulsion
model . . . . . . . . . . . . . . . . . 2069--2099
Stefano Berrone and
Andrea Bonito and
Rob Stevenson and
Marco Verani An optimal adaptive Fictitious Domain
Method . . . . . . . . . . . . . . . . . 2101--2134
Natalia Kopteva Error analysis of the L1 method on
graded and uniform meshes for a
fractional-derivative problem in two and
three dimensions . . . . . . . . . . . . 2135--2155
Bangti Jin and
Buyang Li and
Zhi Zhou Subdiffusion with a time-dependent
coefficient: Analysis and numerical
solution . . . . . . . . . . . . . . . . 2157--2186
James Cheung and
Mauro Perego and
Pavel Bochev and
Max Gunzburger Optimally accurate higher-order finite
element methods for polytopial
approximations of domains with smooth
boundaries . . . . . . . . . . . . . . . 2187--2219
Pei Fu and
Gero Schnücke and
Yinhua Xia Arbitrary Lagrangian--Eulerian
discontinuous Galerkin method for
conservation laws on moving simplex
meshes . . . . . . . . . . . . . . . . . 2221--2255
Zheng Chen and
Cory D. Hauck Multiscale convergence properties for
spectral approximations of a model
kinetic equation . . . . . . . . . . . . 2257--2293
Wei Wang and
Xuejun Xu On the convergence of a two-level
preconditioned Jacobi--Davidson method
for eigenvalue problems . . . . . . . . 2295--2324
Zhen-Chen Guo and
Eric King-Wah Chu and
Wen-Wei Lin Doubling algorithm for the discretized
Bethe--Salpeter eigenvalue problem . . . 2325--2350
Ana F. Loureiro and
Kuan Xu Volterra-type convolution of classical
polynomials . . . . . . . . . . . . . . 2351--2381
Olivier Ramaré Corrigendum to Explicit estimates on
several summatory functions involving
the Moebius function . . . . . . . . . . 2383--2388
Jackson S. Morrow Composite images of Galois for elliptic
curves over $ \mathbf {Q} $ and
entanglement fields . . . . . . . . . . 2389--2421
Fabien Cléry and
Carel Faber and
Gerard van der Geer Covariants of binary sextics and modular
forms of degree 2 with character . . . . 2423--2441
Maarten Derickx and
Filip Najman Torsion of elliptic curves over cyclic
cubic fields . . . . . . . . . . . . . . 2443--2459
Ekin Ozman and
Samir Siksek Quadratic points on modular curves . . . 2461--2484
Faruk Gölo\uglu and
Antoine Joux A simplified approach to rigorous degree
2 elimination in discrete logarithm
algorithms . . . . . . . . . . . . . . . 2485--2496
Muhammad Imran Qureshi Biregular models of log Del Pezzo
surfaces with rigid singularities . . . 2497--2521
Petr Vojt\vechovský and
Seung Yeop Yang Enumeration of racks and quandles up to
isomorphism . . . . . . . . . . . . . . 2523--2540
Lynn Chua and
Mario Kummer and
Bernd Sturmfels Schottky algorithms: Classical meets
tropical . . . . . . . . . . . . . . . . 2541--2558
M. Bonazzoli and
V. Dolean and
I. G. Graham and
E. A. Spence and
P.-H. Tournier Domain decomposition preconditioning for
the high-frequency time-harmonic Maxwell
equations with absorption . . . . . . . 2559--2604
Charles M. Elliott and
Hans Fritz and
Graham Hobbs Second order splitting for a class of
fourth order equations . . . . . . . . . 2605--2634
Klaus Deckelnick and
Charles M. Elliott and
Tatsu-Hiko Miura and
Vanessa Styles Hamilton--Jacobi equations on an
evolving surface . . . . . . . . . . . . 2635--2664
Xiang Wang and
Weizhang Huang and
Yonghai Li Conditioning of the finite volume
element method for diffusion problems
with general simplicial meshes . . . . . 2665--2696
Philippe Chartier and
Nicolas Crouseilles and
Mohammed Lemou and
Florian Méhats and
Xiaofei Zhao Uniformly accurate methods for Vlasov
equations with non-homogeneous strong
magnetic field . . . . . . . . . . . . . 2697--2736
Ming Zhou and
Klaus Neymeyr Cluster robust estimates for block
gradient-type eigensolvers . . . . . . . 2737--2765
Tony Shardlow A Walk Outside Spheres for the
fractional Laplacian: Fields and first
eigenvalue . . . . . . . . . . . . . . . 2767--2792
Raphael Kruse and
Yue Wu A randomized and fully discrete Galerkin
finite element method for semilinear
stochastic evolution equations . . . . . 2793--2825
Michaël Sdika Diffeomorphic B-spline vector fields
with a tractable set of inequalities . . 2827--2856
Wenjie Liu and
Li-Lian Wang and
Huiyuan Li Optimal error estimates for Chebyshev
approximations of functions with limited
regularity in fractional Sobolev-type
spaces . . . . . . . . . . . . . . . . . 2857--2895
Peter Mathé Bayesian inverse problems with
non-commuting operators . . . . . . . . 2897--2912
Nadir Murru and
Lea Terracini On $p$-adic multidimensional continued
fractions . . . . . . . . . . . . . . . 2913--2934
Peter Shiu Corrigendum to ``Counting sums of two
squares: the Meissel--Lehmer method'' 2935--2938
Francesc Bars and
Josep González Rovira Bielliptic modular curves $ X_0^*(N) $
with square-free levels . . . . . . . . 2939--2957
Omar León Sánchez Estimates for the coefficients of
differential dimension polynomials . . . 2959--2985
Emre Can Sertöz Computing periods of hypersurfaces . . . 2987--3022
Thomas Breuer and
Gerhard Hiss and
Frank Lübeck and
Klaus Lux The completion of the $3$-modular
character table of the Chevalley group $
F_4 (2)$ and its covering group . . . . 3023--3040
Gary R. W. Greaves and
Pavlo Yatsyna On equiangular lines in $ 17 $
dimensions and the characteristic
polynomial of a Seidel matrix . . . . . 3041--3061
Jonathan Bayless and
Paul Kinlaw and
Dominic Klyve Sums over primitive sets with a fixed
number of prime factors . . . . . . . . 3063--3077