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Mathematics of Computation, Volume 90
Volume 90, Number 327, 2021
- Dmitriy Leykekhman, Buyang Li:
Weak discrete maximum principle of finite element methods in convex polyhedra. 1-18 - Natalia Kopteva:
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem. 19-40 - Dmitriy Leykekhman:
Pointwise error estimates for C0 interior penalty approximation of biharmonic problems. 41-63 - Shukai Du, Francisco-Javier Sayas:
A note on devising HDG+ projections on polyhedral elements. 65-79 - Weiwei Sun, Chengda Wu:
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media. 81-102 - José A. Carrillo, Ulrik S. Fjordholm, Susanne Solem:
A second-order numerical method for the aggregation equations. 103-139 - Matania Ben-Artzi, Jiequan Li:
Consistency of finite volume approximations to nonlinear hyperbolic balance laws. 141-169 - Xiao Li, Zhonghua Qiao, Cheng Wang:
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. 171-188 - Katharina Schratz, Yan Wang, Xiaofei Zhao:
Low-regularity integrators for nonlinear Dirac equations. 189-214 - Liping Zhang, Chiyu Chen:
A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications. 215-231 - Theresa Lange, Wilhelm Stannat:
On the continuous time limit of the ensemble Kalman filter. 233-265 - Andrey Akinshin, Gil Goldman, Yosef Yomdin:
Geometry of error amplification in solving the Prony system with near-colliding nodes. 267-302 - Zhijian He, Xiaoqun Wang:
Convergence analysis of quasi-Monte Carlo sampling for quantile and expected shortfall. 303-319 - Josha Box:
Quadratic points on modular curves with infinite Mordell-Weil group. 321-343 - Michael Larsen, Anna Larsen:
Multiplicative series, modular forms, and Mandelbrot polynomials. 345-377 - Valérie Flammang:
Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8. 379-388 - Bartosz Makuracki, Andrzej Mróz:
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix. 389-412 - Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez, Frank Sottile:
A numerical toolkit for multiprojective varieties. 413-440 - Robert Hough, Hyojeong Son:
The spectrum of the abelian sandpile model. 441-469
Volume 90, Number 328, 2021
- Jingmin Chen, Thomas P. Y. Yu, Patrick Brogan, Robert Kusner, Yilin Yang, Andrew Zigerelli:
Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods. 471-516 - Clément Cancès, Flore Nabet, Martin Vohralík:
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. 517-563 - Yuwen Li:
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors. 565-593 - Volker John, Petr Knobloch, Paul Korsmeier:
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. 595-611 - Arbaz Khan, Alex Bespalov, Catherine E. Powell, David J. Silvester:
Robust a posteriori error estimation for parameter-dependent linear elasticity equations. 613-636 - Christian Kreuzer, Emmanuil H. Georgoulis:
Corrigendum to "Convergence of adaptive, discontinuous Galerkin methods". 637-640 - Jingwei Hu, Ruiwen Shu:
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. 641-670 - Ralf Zimmermann:
A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. 671-688 - Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher, Damiano Lombardi:
Approximation of optimal transport problems with marginal moments constraints. 689-737 - Hugo Lavenant:
Unconditional convergence for discretizations of dynamical optimal transport. 739-786 - Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. 787-812 - Xingping Sun, Zongmin Wu, Xuan Zhou:
On probabilistic convergence rates of stochastic Bernstein polynomials. 813-830 - Kevin G. Hare, Jonas Jankauskas:
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. 831-870 - David J. Platt, Timothy S. Trudgian:
The error term in the prime number theorem. 871-881 - Valérie Berthé, Wolfgang Steiner, Jörg M. Thuswaldner:
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. 883-905 - Michael J. Mossinghoff, Tomás Oliveira e Silva, Timothy S. Trudgian:
The distribution of k-free numbers. 907-929 - Lian Duan:
Faltings-Serre method on three dimensional selfdual representations. 931-951 - Stefano Marseglia:
Computing square-free polarized abelian varieties over finite fields. 953-971 - Eduardo Friedman, Fredrik Johansson, Gabriel Ramirez-Raposo:
The minimal Fried average entropy for higher-rank Cartan actions. 973-978 - Michael Filaseta, Jeremiah Southwick:
Primes that become composite after changing an arbitrary digit. 979-993
Volume 90, Number 329, 2021
- Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich:
Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. 995-1038 - Raphaèle Herbin, Jean-Claude Latché, K. Saleh:
Low Mach number limit of some staggered schemes for compressible barotropic flows. 1039-1087 - Robert Altmann, Roland Maier, Benjamin Unger:
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. 1089-1118 - François Bouchut, Xavier Lhébrard:
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. 1119-1153 - Raphaèle Herbin, Jean-Claude Latché, Sébastian Minjeaud, Nicolas Therme:
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. 1155-1177 - Xiang Wang, Junliang Lv, Yonghai Li:
New superconvergent structures developed from the finite volume element method in 1D. 1179-1205 - Hong-lin Liao, Zhimin Zhang:
Analysis of adaptive BDF2 scheme for diffusion equations. 1207-1226 - Fan Jiang, Xingju Cai, Zhongming Wu, Deren Han:
Approximate first-order primal-dual algorithms for saddle point problems. 1227-1262 - Paul Manns, Christian Kirches, Felix Lenders:
Approximation properties of sum-up rounding in the presence of vanishing constraints. 1263-1296 - Lukas Katthän, Helen Naumann, Thorsten Theobald:
A unified framework of SAGE and SONC polynomials and its duality theory. 1297-1322 - Peter G. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova:
Bounds for spherical codes: The Levenshtein framework lifted. 1323-1356 - José L. López, Pablo Palacios, Pedro J. Pagola:
Uniform convergent expansions of integral transforms. 1357-1380 - Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski:
On quasi-Monte Carlo methods in weighted ANOVA spaces. 1381-1406 - Anton Leykin, Abraham Martín del Campo, Frank Sottile, Ravi Vakil, Jan Verschelde:
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. 1407-1433 - Joe Buhler, Shahar Golan, Rob Pratt, Stan Wagon:
Littlewood polynomials, spectral-null codes, and equipowerful partitions. 1435-1453 - Michael A. Bennett, Greg Martin, Kevin O'Bryant, Andrew Rechnitzer:
Counting zeros of Dirichlet L-functions. 1455-1482 - Jürgen Klüners, Toru Komatsu:
Imaginary multiquadratic number fields with class group of exponent 3 and 5. 1483-1497
Volume 90, Number 330, 2021
- Sören Bartels, Philipp Reiter:
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. 1499-1526 - Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. 1527-1555 - Markus Faustmann, Jens Markus Melenk, Dirk Praetorius:
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. 1557-1587 - Jorge Albella Martínez, Sébastien Imperiale, Patrick Joly, Jerónimo Rodríguez:
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. 1589-1636 - Jun Hu, Yizhou Liang:
Conforming discrete Gradgrad-complexes in three dimensions. 1637-1662 - Ioannis Gkanis, Charalambos G. Makridakis:
A new class of entropy stable schemes for hyperbolic systems: Finite element methods. 1663-1699 - Jan S. Hesthaven, Cecilia Pagliantini:
Structure-preserving reduced basis methods for Poisson systems. 1701-1740 - Zheng Sun, Yulong Xing:
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. 1741-1772 - Olof B. Widlund, Stefano Zampini, Simone Scacchi, Luca F. Pavarino:
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. 1773-1797 - Markus Bachmayr, Henrik Eisenmann, Emil Kieri, André Uschmajew:
Existence of dynamical low-rank approximations to parabolic problems. 1799-1830 - Lukas Herrmann, Magdalena Keller, Christoph Schwab:
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems. 1831-1860 - Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens:
Function integration, reconstruction and approximation using rank-1 lattices. 1861-1897 - Wenchang Sun:
Local and global phaseless sampling in real spline spaces. 1899-1929 - Robert Baillie, Andrew Fiori, Samuel S. Wagstaff Jr.:
Strengthening the Baillie-PSW primality test. 1931-1955 - Anne Frühbis-Krüger, Lukas Ristau, Bernd Schober:
Embedded desingularization for arithmetic surfaces - toward a parallel implementation. 1957-1997 - Markus Hittmeir:
A time-space tradeoff for Lehman's deterministic integer factorization method. 1999-2010
Volume 90, Number 331, 2021
- Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko:
Rate optimality of adaptive finite element methods with respect to overall computational costs. 2011-2040 - Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi:
Analysis of the shifted boundary method for the Poisson problem in domains with corners. 2041-2069 - Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. 2071-2106 - Zhaopeng Hao, Huiyuan Li, Zhimin Zhang, Zhongqiang Zhang:
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. 2107-2135 - Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland:
Minimization with differential inequality constraints applied to complete Lyapunov functions. 2137-2160 - Alperen Ali Ergür, Grigoris Paouris, J. Maurice Rojas:
Smoothed analysis for the condition number of structured real polynomial systems. 2161-2184 - Zhiqing Kui, Jean Baccou, Jacques Liandrat:
On the construction of multiresolution analyses associated to general subdivision schemes. 2185-2208 - Toni Karvonen, Chris J. Oates, Mark Girolami:
Integration in reproducing kernel Hilbert spaces of Gaussian kernels. 2209-2233 - Andrés Chirre, Valdir José Pereira Júnior, David de Laat:
Primes in arithmetic progressions and semidefinite programming. 2235-2246 - Salma Ettahri, Olivier Ramaré, Leon Surel:
Fast multi-precision computation of some Euler products. 2247-2265 - Stefano Barbero, Umberto Cerruti, Nadir Murru:
Periodic representations for quadratic irrationals in the field of p-adic numbers. 2267-2280 - Samuel Broadbent, Habiba Kadiri, Allysa Lumley, Nathan Ng, Kirsten Wilk:
Sharper bounds for the Chebyshev function θ (x). 2281-2315 - Cong Wang, Jie Wu, Qiang Wu:
Totally positive algebraic integers with small trace. 2317-2332 - Jeroen Hanselman, Sam Schiavone, Jeroen Sijsling:
Gluing curves of genus 1 and 2 along their 2-torsion. 2333-2379 - Muharem Avdispahic:
Effective bounds for Huber's constant and Faltings's delta function. 2381-2414 - Chris Parker, Jason Semeraro:
Algorithms for fusion systems with applications to p-groups of small order. 2415-2461 - Jiming Ma, Fangting Zheng:
Orientable hyperbolic 4-manifolds over the 120-cell. 2463-2501 - P. G. Walsh:
Corrigendum to "On two classes of simultaneous Pell equations with no solutions". 2503-2505 - Maria Dostert, Alexander Kolpakov:
Kissing number in non-Euclidean spaces of constant sectional curvature. 2507-2525
Volume 90, Number 332, 2021
- Yifan Chen, Houman Owhadi, Andrew M. Stuart:
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. 2527-2578 - Sören Bartels:
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. 2579-2602 - Marcus J. Grote, Simon Michel, Stefan A. Sauter:
Stabilized leapfrog based local time-stepping method for the wave equation. 2603-2643 - Qiwei Sheng, Cory D. Hauck:
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. 2645-2669 - J. Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau:
Second order monotone finite differences discretization of linear anisotropic differential operators. 2671-2703 - Guillaume Bertoli, Christophe Besse, Gilles Vilmart:
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions. 2705-2729 - Gang Pang, Yibo Yang, Xavier Antoine, Shaoqiang Tang:
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. 2731-2756 - Bernard Bialecki, Maksymilian Dryja, Ryan I. Fernandes:
Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set. 2757-2784 - Heping Dong, Jun Lai, Peijun Li:
A highly accurate boundary integral method for the elastic obstacle scattering problem. 2785-2814 - Stefan Steinerberger:
A weighted randomized Kaczmarz method for solving linear systems. 2815-2826 - Xiaoyue Li, Xuerong Mao, Hongfu Yang:
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. 2827-2872 - Michael Gnewuch, Hendrik Pasing, Christian Weiß:
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy. 2873-2898 - Alessandro Languasco, Luca Righi:
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications. 2899-2921 - Richard P. Brent, David J. Platt, Timothy S. Trudgian:
Accurate estimation of sums over zeros of the Riemann zeta-function. 2923-2935 - David Harvey:
An exponent one-fifth algorithm for deterministic integer factorisation. 2937-2950 - Andrew Obus, Tanush Shaska:
Superelliptic curves with many automorphisms and CM Jacobians. 2951-2975 - Andrej Brodnik, Aleksander Malnic, Rok Pozar:
The simultaneous conjugacy problem in the symmetric group. 2977-2995 - Robert Granger, Thorsten Kleinjung, Arjen K. Lenstra, Benjamin Wesolowski, Jens Zumbrägel:
Computation of a 30750-bit binary field discrete logarithm. 2997-3022
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