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Mathematics of Computation, Volume 87
Volume 87, Number 309, 2018
- Simone Brugiapaglia, Fabio Nobile, Stefano Micheletti, Simona Perotto:
A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems. 1-38 - Masahisa Tabata, Shinya Uchiumi:
An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates. 39-67 - Weifeng Qiu, Jiguang Shen, Ke Shi:
An HDG method for linear elasticity with strong symmetric stresses. 69-93 - David M. Williams:
An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations. 95-121 - Hailiang Liu, Hairui Wen:
Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations. 123-148 - Robert Altmann, Christoph Zimmer:
Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations. 149-174 - Jan Glaubitz, Philipp Öffner, 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 - Andrei Martínez-Finkelshtein, A. Sri Ranga, Daniel 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, Yuesheng Xu:
Computing highly oscillatory integrals. 309-345 - Bin Han, Qingtang Jiang, Zuowei Shen, 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, Álvaro Lozano-Robledo, Filip Najman, Andrew V. Sutherland:
Torsion subgroups of rational elliptic curves over the compositum of all cubic fields. 425-458 - Peter Bruin, Andrea Ferraguti:
On L-functions of quadratic ℚ-curves. 459-499 - King Cheong Fung, 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
Volume 87, Number 310, 2018
- Chunmei Wang, 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 - Jean-Claude Latché, K. Saleh:
A convergent staggered scheme for the variable density incompressible Navier-Stokes equations. 581-632 - Erik Burman, Peter Hansbo, Mats G. Larson:
A cut finite element method with boundary value correction. 633-657 - Duk-Soon Oh, Olof B. Widlund, Stefano Zampini, Clark R. Dohrmann:
BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. 659-692 - Qian Zhang, Jiwei Zhang, Shidong Jiang, Zhimin Zhang:
Numerical solution to a linearized time fractional KdV equation on unbounded domains. 693-719 - Andrew M. Stuart, Aretha L. Teckentrup:
Posterior consistency for Gaussian process approximations of Bayesian posterior distributions. 721-753 - Lukasz Szpruch, Xiling Zhang:
V-integrability, asymptotic stability and comparison property of explicit numerical schemes for non-linear SDEs. 755-783 - Robert Plato, Peter Mathé, Bernd Hofmann:
Optimal rates for Lavrentiev regularization with adjoint source conditions. 785-801 - Claude-Pierre Jeannerod, Siegfried M. Rump:
On relative errors of floating-point operations: Optimal bounds and applications. 803-819 - Daniel Krenn, Volker Ziegler:
Non-minimality of the width-w non-adjacent form in conjunction with trace one 휏-adic digit expansions and Koblitz curves in characteristic two. 821-854 - Niko Rebenich, T. Aaron Gulliver, Stephen W. Neville, Ulrich Speidel:
An analog of the prime number theorem for finite fields via truncated polylogarithm expansions. 855-877 - Oliver D. King, Cris Poor, Jerry Shurman, David S. Yuen:
Using Katsurada's determination of the Eisenstein series to compute Siegel eigenforms. 879-892 - Dorian Nogneng, 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. S. Detinko, Dane L. Flannery, Alexander 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
Volume 87, Number 311, 2018
- Erik Burman, Peter Hansbo:
Stabilized nonconforming finite element methods for data assimilation in incompressible flows. 1029-1050 - Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson:
On the stability of DPG formulations of transport equations. 1051-1082 - Frédéric Coquel, Shi Jin, Jian-Guo Liu, Li Wang:
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. 1083-1126 - Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché, David Maltese:
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. 1127-1163 - Jian-Guo Liu, Li Wang, Zhennan Zhou:
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. 1165-1189 - Yongyong Cai, Yongjun Yuan:
Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime. 1191-1225 - Simon Baumstark, Erwan Faou, Katharina Schratz:
Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting. 1227-1254 - Shmuel Friedland, Lek-Heng Lim:
Nuclear norm of higher-order tensors. 1255-1281 - Wanyou Cheng, Yu-Hong Dai:
Gradient-based method with active set strategy for ℓ1 optimization. 1283-1305 - Ernesto G. Birgin, Natasa Krejic, José Mario Martínez:
On the employment of inexact restoration for the minimization of functions whose evaluation is subject to errors. 1307-1326 - Benedetta Morini, Margherita Porcelli, Philippe L. Toint:
Approximate norm descent methods for constrained nonlinear systems. 1327-1351 - Martin Hutzenthaler, Arnulf Jentzen, Xiaojie Wang:
Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations. 1353-1413 - Abdellah Chkifa, Nick C. Dexter, Hoang Tran, Clayton G. Webster:
Polynomial approximation via compressed sensing of high-dimensional functions on lower sets. 1415-1450 - Laura Faber, Habiba Kadiri:
Corrigendum to New bounds for 휓(x). 1451-1455 - Enrique González-Jiménez, 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 Dabrowski, Lucjan Szymaszkiewicz:
Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves. 1509-1522 - Paulius Drungilas, Jonas Jankauskas, Jonas Siurys:
On Littlewood and Newman polynomial multiples of Borwein polynomials. 1523-1541
Volume 87, Number 312, 2018
- Alexander Linke, Christian Merdon, Michael Neilan, Felix 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, Jun Hu, Xuehai Huang:
Fast auxiliary space preconditioners for linear elasticity in mixed form. 1601-1633 - Martin J. Gander, Soheil Hajian:
Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case. 1635-1657 - Ruijian He, Xinlong Feng, Zhangxin Chen:
H1-Superconvergence of a difference finite element method based on the P1-P1-conforming element on non-uniform meshes for the 3D Poisson equation. 1659-1688 - Isabella Cravero, Gabriella Puppo, Matteo Semplice, Giuseppe Visconti:
CWENO: Uniformly accurate reconstructions for balance laws. 1689-1719 - Matt Elsey, Selim Esedolu:
Threshold dynamics for anisotropic surface energies. 1721-1756 - Tobias Ramming, Holger Wendland:
A kernel-based discretisation method for first order partial differential equations. 1757-1781 - Lehel Banjai, Alexander Rieder:
Convolution quadrature for the wave equation with a nonlinear impedance boundary condition. 1783-1819 - Gabriel Acosta, Juan Pablo Borthagaray, Oscar P. Bruno, Martin Maas:
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. 1821-1857 - Lili Ju, Xiao Li, Zhonghua Qiao, Hui Zhang:
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. 1859-1885 - Weizhang Huang, Lennard Kamenski:
On the mesh nonsingularity of the moving mesh PDE method. 1887-1911 - Alex Townsend, Marcus Webb, Sheehan Olver:
Fast polynomial transforms based on Toeplitz and Hankel matrices. 1913-1934 - Aaron Melman:
Eigenvalue bounds for matrix polynomials in generalized bases. 1935-1948 - Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward:
An inverse theorem for compact Lipschitz regions in ℝd using localized kernel bases. 1949-1989 - Jan Büthe:
An analytic method for bounding ψ(x). 1991-2009 - Yoonjin Lee, Yoon Kyung Park:
A continued fraction of order twelve as a modular function. 2011-2036 - Klim Efremenko, J. M. Landsberg, Hal Schenck, 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
Volume 87, Number 313, 2018
- Yongyong Cai, 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, Maxim A. Olshanskii:
Inf-sup stability of geometrically unfitted Stokes finite elements. 2091-2112 - Sebastian Franz, Gunar Matthies:
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. 2113-2132 - Weizhu Bao, 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, Rima Cheaytou:
On the error estimates of the vector penalty-projection methods: Second-order scheme. 2159-2187 - Jianfeng Lu, 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, Francis J. Narcowich, Stephen T. Rowe, Joseph 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, Norbert Heuer, John Paul Roop:
Regularity of the solution to 1-D fractional order diffusion equations. 2273-2294 - Yiannis Hadjimichael, David I. Ketcheson:
Strong-stability-preserving additive linear multistep methods. 2295-2320 - Luciano Lopez, Stefano Maset:
Time-transformations for the event location in discontinuous ODEs. 2321-2341 - Björn Bringmann, Daniel Cremers, Felix Krahmer, Michael Möller:
The homotopy method revisited: Computing solution paths of ℓ1-regularized problems. 2343-2364 - Catherine Kublik, Richard Tsai:
An extrapolative approach to integration over hypersurfaces in the level set framework. 2365-2392 - Christian Wüthrich:
Numerical modular symbols for elliptic curves. 2393-2423 - José Ignacio Burgos Gil, Ricardo Menares, Juan Rivera-Letelier:
On the essential minimum of Faltings' height. 2425-2459 - Binzhou Xia:
Cyclotomic difference sets in finite fields. 2461-2482 - Loïc Grenié, Giuseppe Molteni:
Explicit bounds for generators of the class group. 2483-2511 - Gregor Kemper, Ngô Viêt Trung, Nguyen Thi Van Anh:
Toward a theory of monomial preorders. 2513-2537 - Maria Bras-Amorós, Julio Fernández-González:
Computation of numerical semigroups by means of seeds. 2539-2550 - Janne I. Kokkala, Patric R. J. Östergård:
The chromatic number of the square of the 8-cube. 2551-2561
Volume 87, Number 314, 2018
- Lenaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard:
Scaling algorithms for unbalanced optimal transport problems. 2563-2609 - Christian Kreuzer, Emmanuil H. Georgoulis:
Convergence of adaptive discontinuous Galerkin methods. 2611-2640 - Paul Houston, Thomas P. Wihler:
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. 2641-2674 - Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi:
Adaptive discontinuous Galerkin methods for elliptic interface problems. 2675-2707 - Jeonghun J. Lee, Ragnar Winther:
Local coderivatives and approximation of Hodge Laplace problems. 2709-2735 - Siyang Wang, Anna Nissen, Gunilla Kreiss:
Convergence of finite difference methods for the wave equation in two space dimensions. 2737-2763 - Ralf Kornhuber, Daniel Peterseim, Harry Yserentant:
An analysis of a class of variational multiscale methods based on subspace decomposition. 2765-2774 - Éliane Bécache, Patrick Joly, 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, Stefano Massei, Beatrice Meini:
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. 2811-2830 - Yang Zhou, Xiaojun Chen:
Spherical t휀-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 D. Lichtman, 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, Lars Kristiansen, 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, Brett A. Tangedal:
Computing annihilators of class groups from derivatives of L-functions. 2937-2953 - Philip Brinkmann, Günter M. Ziegler:
Small f-vectors of 3-spheres and of 4-polytopes. 2955-2975 - Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas, Marc Mezzarobba:
Computing solutions of linear Mahler equations. 2977-3021 - Javier Cilleruelo, Florian Luca, Lewis Baxter:
Every positive integer is a sum of three palindromes. 3023-3055
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