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Volume 47, Number 175, July, 1986Peter 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