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SIAM Journal on Numerical Analysis, Volume 57
Volume 57, Number 1, 2019
- Alberto Paganini

, Kevin Sturm
:
Weakly Normal Basis Vector Fields in RKHS with an Application to Shape Newton Methods. 1-26 - Fatemeh Mohammadi, Carmen Arévalo, Claus Führer:

A Polynomial Formulation of Adaptive Strong Stability Preserving Multistep Methods. 27-43 - Josef Dick

, Takashi Goda
, Takehito Yoshiki
:
Richardson Extrapolation of Polynomial Lattice Rules. 44-69 - Chuchu Chen, Di Liu:

Ergodic Approximation to Chemical Reaction System with Delay. 70-95 - Yonglin Li

, Haijun Wu
:
FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation. 96-126 - Hwi Lee, Qiang Du

:
Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models. 127-147 - Martin Campos Pinto

, Frédérique Charles
, Bruno Després:
Algorithms For Positive Polynomial Approximation. 148-172 - Haodi Chen, Genggeng Huang

, Xu-Jia Wang
:
Convergence Rate Estimates for Aleksandrov's Solution to the Monge-Ampère Equation. 173-191 - Ting Wang, Petr Plechác:

Steady-State Sensitivity Analysis of Continuous Time Markov Chains. 192-217 - Hong-lin Liao

, William McLean
, Jiwei Zhang:
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems. 218-237 - Yu Du, Lu Zhang, Zhimin Zhang:

Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form. 238-265 - Andreas Veeser

, Pietro Zanotti
:
Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II - Overconsistency and Classical Nonconforming Elements. 266-292 - Lars Schmutz, Thomas P. Wihler:

The Variable-Order Discontinuous Galerkin Time Stepping Scheme for Parabolic Evolution Problems is Uniformly L∞-Stable. 293-319 - Huo-Yuan Duan, Zhijie Du, Wei Liu, Shangyou Zhang

:
New Mixed Elements for Maxwell Equations. 320-354 - Mark Ainsworth, Shuai Jiang

:
Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles. 355-377 - Andreas Neuenkirch

, Michaela Szölgyenyi, Lukasz Szpruch:
An Adaptive Euler-Maruyama Scheme for Stochastic Differential Equations with Discontinuous Drift and its Convergence Analysis. 378-403 - Philipp Grohs

, Hanne Hardering
, Oliver Sander
, Markus Sprecher:
Projection-Based Finite Elements for Nonlinear Function Spaces. 404-428 - Simon Baumstark, Katharina Schratz:

Uniformly Accurate Oscillatory Integrators for the Klein-Gordon-Zakharov System from Low- to High-Plasma Frequency Regimes. 429-457 - Feng Bao, Lin Mu

, Jin Wang:
A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes. 458-477 - Daniele Boffi, Lucia Gastaldi:

Adaptive Finite Element Method for the Maxwell Eigenvalue Problem. 478-494 - Wenbin Chen

, Xiaoming Wang
, Yue Yan, Zhuying Zhang:
A Second Order BDF Numerical Scheme with Variable Steps for the Cahn-Hilliard Equation. 495-525
Volume 57, Number 2, 2019
- Thomas J. Murphy, Noel J. Walkington

:
Control Volume Approximation of Degenerate Two-Phase Porous Flows. 527-546 - Art B. Owen:

Effective Dimension of Some Weighted Pre-Sobolev Spaces with Dominating Mixed Partial Derivatives. 547-562 - Toshihiro Yamada:

An Arbitrary High Order Weak Approximation of SDE and Malliavin Monte Carlo: Analysis of Probability Distribution Functions. 563-591 - Dietmar Gallistl

, Endre Süli:
Mixed Finite Element Approximation of the Hamilton-Jacobi-Bellman Equation with Cordes Coefficients. 592-614 - Sara N. Pollock

, Leo G. Rebholz, Mengying Xiao:
Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations. 615-637 - Lukasz Plociniczak:

Numerical Method for the Time-Fractional Porous Medium Equation. 638-656 - Weizhu Bao, Rémi Carles

, Chunmei Su
, Qinglin Tang:
Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation. 657-680 - Kaïs Ammari

, Carlos Castro
:
Numerical Approximation of the Best Decay Rate for Some Dissipative Systems. 681-701 - Chuchu Chen, Jialin Hong, Lihai Ji:

Runge-Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise. 702-727 - Chuchu Chen, Jialin Hong, Lihai Ji:

Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations. 728-750 - Ellya L. Kawecki

:
A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems. 751-778 - Binjie Li, Hao Luo

, Xiaoping Xie
:
Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data. 779-798 - Imran H. Biswas, Indranil Chowdhury

, Espen R. Jakobsen
:
On the Rate of Convergence for Monotone Numerical Schemes for Nonlocal Isaacs Equations. 799-827 - Konstantinos Chrysafinos, Efthymios N. Karatzas

, Dimitrios Kostas
:
Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System. 828-853 - Zhijian He

:
On the Error Rate of Conditional Quasi-Monte Carlo for Discontinuous Functions. 854-874 - Qiang Du

, Lili Ju
, Xiao Li, Zhonghua Qiao
:
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation. 875-898 - Marc Aurèle Gilles

, Alex Townsend:
Continuous Analogues of Krylov Subspace Methods for Differential Operators. 899-924 - Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart

:
Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. 925-944 - Brittany Froese Hamfeldt:

Convergence Framework for the Second Boundary Value Problem for the Monge-Ampère Equation. 945-971
Volume 57, Number 3, 2019
- Andrea Bonito, Alan Demlow

:
A Posteriori Error Estimates for the Laplace-Beltrami Operator on Parametric C2 Surfaces. 973-996 - Xue-lei Lin

, Michael K. Ng
, Hai-Wei Sun:
Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients. 997-1019 - Lise-Marie Imbert-Gérard

, Felipe Vico
, Leslie Greengard
, Miguel Ferrando
:
Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media. 1020-1035 - Johannes Eilinghoff, Tobias Jahnke, Roland Schnaubelt:

Error Analysis of an Energy Preserving ADI Splitting Scheme for the Maxwell Equations. 1036-1057 - Shuhao Cao

, Long Chen:
Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods. 1058-1081 - Rüdiger Verfürth

, Pietro Zanotti
:
A Quasi-optimal Crouzeix-Raviart Discretization of the Stokes Equations. 1082-1099 - Matt Jacobs

, Flavien Léger, Wuchen Li
, Stanley J. Osher:
Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size. 1100-1123 - Michael Feischl

:
Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem. 1124-1157 - Zheng Sun

, Chi-Wang Shu
:
Strong Stability of Explicit Runge-Kutta Time Discretizations. 1158-1182 - Saad Qadeer

, Jon A. Wilkening:
Computing the Dirichlet-Neumann Operator on a Cylinder. 1183-1204 - Sergio Amat, Juan Ruiz

, Chi-Wang Shu
:
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. 1205-1237 - Yujie Liu

, Junping Wang, Qingsong Zou:
A Conservative Flux Optimization Finite Element Method for Convection-diffusion Equations. 1238-1262 - Pierson T. Guthrey, James A. Rossmanith

:
The Regionally Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM. 1263-1288 - Wansheng Wang, Yingzi Chen

, Hua Fang:
On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance. 1289-1317 - Raimund Bürger

, Paul E. Méndez
, Ricardo Ruiz-Baier
:
On H(div)-conforming Methods for Double-diffusion Equations in Porous Media. 1318-1343 - Vahid Keshavarzzadeh, Robert M. Kirby

, Akil Narayan
:
Convergence Acceleration for Time-Dependent Parametric Multifidelity Models. 1344-1368 - Tomás Gergelits

, Kent-André Mardal
, Bjørn Fredrik Nielsen, Zdenek Strakos
:
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. 1369-1394 - Chun'guang You, Hehu Xie, Xuefeng Liu

:
Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem. 1395-1410 - Andreas Langer

, Fernando Gaspoz:
Overlapping Domain Decomposition Methods for Total Variation Denoising. 1411-1444 - Dongling Wang, Jun Zou:

Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations. 1445-1470 - Stephen Edward Moore

:
Space-Time Multipatch Discontinuous Galerkin Isogeometric Analysis for Parabolic Evolution Problems. 1471-1493 - Ana Maria Soane, Andrei Draganescu

:
Multigrid Preconditioners for the Newton-Krylov Method in the Optimal Control of the Stationary Navier-Stokes Equations. 1494-1523 - Mariam Al-Maskari

, Samir Karaa:
Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data. 1524-1544
Volume 57, Number 4, 2019
- Ruchi Guo, Tao Lin

:
A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems. 1545-1573 - Yuan Xu, Qiang Zhang, Chi-Wang Shu

, Haijin Wang:
The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. 1574-1601 - Yongyong Cai

, Yan Wang:
Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime. 1602-1624 - Christoph Reisinger

, Yufei Zhang
:
A Penalty Scheme for Monotone Systems with Interconnected Obstacles: Convergence and Error Estimates. 1625-1648 - Brendan Keith

, Ali Vaziri Astaneh, Leszek F. Demkowicz:
Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods. 1649-1676 - Keegan L. A. Kirk

, Tamás L. Horváth, Ayçil Çesmelioglu
, Sander Rhebergen
:
Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains. 1677-1696 - Jeonghun J. Lee

, Stephen Shannon, Tan Bui-Thanh
, John N. Shadid
:
Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations. 1697-1722 - Juan Pablo Borthagaray

, Patrick Ciarlet Jr.
:
On the Convergence in H1-Norm for the Fractional Laplacian. 1723-1743 - Josef Dick

, Michael Feischl
, Christoph Schwab:
Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification. 1744-1769 - Shixin Xu, Xinfu Chen, Chun Liu

, Xingye Yue
:
Numerical Method for Multi-Alleles Genetic Drift Problem. 1770-1788 - Antti Hannukainen, Jarmo Malinen, Antti Ojalammi:

Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems. 1789-1814 - Jianbo Cui

, Jialin Hong:
Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient. 1815-1841 - José Antonio Carrillo

, Piotr Gwiazda
, Karolina Kropielnicka
, Anna K. Marciniak-Czochra:
The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures. 1842-1874 - Hui Liang

, Hermann Brunner:
The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations. 1875-1896 - Vanja Nikolic

, Barbara I. Wohlmuth:
A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation. 1897-1918 - Gang Chen, John R. Singler

, Yangwen Zhang
:
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs. 1919-1946 - Alexander Ostermann

, Chiara Piazzola
, Hanna Walach:
Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations. 1947-1966 - Marvin Knöller, Alexander Ostermann

, Katharina Schratz:
A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data. 1967-1986 - John W. Barrett

, Harald Garcke, Robert Nürnberg
:
Stable Discretizations of Elastic Flow in Riemannian Manifolds. 1987-2018 - Yuwen Li

:
Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus. 2019-2042
Volume 57, Number 5, 2019
- Johannes Pfefferer, Max Winkler

:
Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes. 2043-2073 - Abinand Gopal, Lloyd N. Trefethen:

Solving Laplace Problems with Corner Singularities via Rational Functions. 2074-2094 - Lei Li

, Jian-Guo Liu
:
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows. 2095-2120 - Christian Pötzsche:

Numerical Dynamics of Integrodifference Equations: Global Attractivity in a C0-Setting. 2121-2141 - Qi Tao, Yan Xu

:
Superconvergence of Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations. 2142-2165 - Herbert Egger, Matthias Schlottbom

:
A Perfectly Matched Layer Approach for PN-Approximations in Radiative Transfer. 2166-2188 - Jun Hu, Shangyou Zhang

, Zhimin Zhang:
On the 2pth-Order of Convergence of the Galerkin Difference Method. 2189-2199 - J. A. C. Weideman

:
Gauss-Hermite Quadrature for the Bromwich Integral. 2200-2216 - Giovanni Migliorati:

Adaptive Approximation by Optimal Weighted Least-Squares Methods. 2217-2245 - Li Guo, Hengguang Li

, Qingsong Zou:
Interior Estimates of Finite Volume Element Methods Over Quadrilateral Meshes for Elliptic Equations. 2246-2265 - Félix del Teso

, Jørgen Endal
, Espen R. Jakobsen
:
Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory. 2266-2299 - Adrian Sandu

:
A Class of Multirate Infinitesimal GARK Methods. 2300-2327 - Isabella Cravero, Matteo Semplice

, Giuseppe Visconti
:
Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions. 2328-2358 - Alex Bespalov

, Dirk Praetorius
, Leonardo Rocchi, Michele Ruggeri
:
Convergence of Adaptive Stochastic Galerkin FEM. 2359-2382 - Lihui Chai

, Emmanuel Lorin, Xu Yang
:
Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime. 2383-2412 - Heiko Kröner:

Analysis of Constants in Error Estimates for the Finite Element Approximation of Regularized Nonlinear Geometric Evolution Equations. 2413-2435 - Jorge Albella Martínez

, H. Ben Dhia, Sébastien Imperiale
, Jerónimo Rodríguez
:
Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling. 2436-2468 - Lu Zhang, Thomas M. Hagstrom

, Daniel Appelö
:
An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection. 2469-2492
Volume 57, Number 6, 2019
- Gabriel N. Gatica

, Salim Meddahi:
On the Coupling of VEM and BEM in Two and Three Dimensions. 2493-2518 - Hehu Xie, Lei Zhang

, Houman Owhadi:
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction. 2519-2550 - Gang Chen, Liangya Pi, Liwei Xu

, Yangwen Zhang:
A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations. 2551-2578 - Fabian M. Faulstich

, Andre Laestadius
, Örs Legeza, Reinhold Schneider, Simen Kvaal
:
Analysis of the Tailored Coupled-Cluster Method in Quantum Chemistry. 2579-2607 - Jean-Marie Mirebeau:

Riemannian Fast-Marching on Cartesian Grids, Using Voronoi's First Reduction of Quadratic Forms. 2608-2655 - Yongcun Song

, Xiaoming Yuan, Hangrui Yue
:
An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem. 2656-2684 - Malte Winckler, Irwin Yousept

:
Fully Discrete Scheme for Bean's Critical-state Model with Temperature Effects in Superconductivity. 2685-2706 - Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon:

A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points. 2707-2729 - Jikun Zhao, Bei Zhang, Shipeng Mao

, Shaochun Chen:
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem. 2730-2759 - Antonio Baeza

, Raimund Bürger
, Pep Mulet
, David Zorío
:
WENO Reconstructions of Unconditionally Optimal High Order. 2760-2784 - Erik Burman, Cuiyu He

:
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. 2785-2811 - Jeremie Houssineau

, Ajay Jasra
, Sumeetpal S. Singh
:
On Large Lag Smoothing for Hidden Markov Models. 2812-2828 - Hongyi Zhu

, Chuanju Xu:
A Fast High Order Method for the Time-Fractional Diffusion Equation. 2829-2849 - David I. Ketcheson

:
Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms. 2850-2870

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