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ORCIDSIAM Journal on Numerical Analysis, Volume 61
Volume 61, Number 1, February 2023
- Gonzalo Gonzalez de Diego
, Patrick E. Farrell, Ian J. Hewitt:
On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology. 1-25 - Di Fang, Albert Tres Vilanova:
Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics. 26-44 - Yiqi Gu, John Harlim, Senwei Liang, Haizhao Yang:
Stationary Density Estimation of Itô Diffusions Using Deep Learning. 45-82 - Gang Chen, Daozhi Han, John R. Singler, Yangwen Zhang:
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn-Hilliard Equation. 83-109 - Sheng Chen, Jie Shen:
Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications. 110-134 - Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities. 135-166 - Xinlong Feng, Xiaoli Lu, Yinnian He:
Difference Finite Element Method for the 3D Steady Navier-Stokes Equations. 167-193 - Gianluca Ceruti, Christian Lubich, Dominik Sulz:
Rank-Adaptive Time Integration of Tree Tensor Networks. 194-222 - Paola F. Antonietti, Stefano Berrone, Martina Busetto, Marco Verani:
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. 223-249 - Kailiang Wu, Haili Jiang, Chi-Wang Shu:
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations. 250-285 - Henry von Wahl, Thomas Richter:
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework. 286-314 - Nian Shao, Wenbin Chen:
Convergence Analysis of Newton-Schur Method for Symmetric Elliptic Eigenvalue Problem. 315-342 - Saray Busto, Michael Dumbser:
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics. 343-364 - Georgios E. Zouraris:
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation. 365-397
Volume 61, Number 2, April 2023
- Zhou Fang, Ankit Gupta, Mustafa Khammash:
Convergence of Regularized Particle Filters for Stochastic Reaction Networks. 399-430 - Luca Heltai, Wenyu Lei:
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data. 431-456 - L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani:
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. 457-494 - Sifan Liu, Art B. Owen:
Preintegration via Active Subspace. 495-514 - Zhijian He, Zhan Zheng, Xiaoqun Wang:
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo. 515-538 - Dietmar Gallistl, Vladislav Olkhovskiy:
Computational Lower Bounds of the Maxwell Eigenvalues. 539-561 - Daniele Avitabile:
Projection Methods for Neural Field Equations. 562-591 - Arnd Scheel:
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves. 592-616 - Weizhu Bao, Wei Jiang, Yifei Li:
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves. 617-641 - Qigang Liang, Xuejun Xu:
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems. 642-674 - Manu Jayadharan, Michel Kern, Martin Vohralík, Ivan Yotov:
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations. 675-706 - Mustafa Aggul, Alexander E. Labovsky, Eda Onal, Kyle J. Schwiebert:
Fluid-Fluid Interaction Problems at High Reynolds Numbers: Reducing the Modeling Error with LES-C. 707-732 - Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-Parts Operators for General Function Spaces. 733-754 - Mario Amrein, Pascal Heid, Thomas P. Wihler:
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations. 755-783 - Marien-Lorenzo Hanot:
An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier-Stokes Equations. 784-811 - Carsten Carstensen, Sophie Puttkammer:
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian. 812-836 - Jilian Wu, Ning Li, Xinlong Feng:
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems. 837-871 - Wansheng Wang, Shoufu Li:
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space. 872-904 - Yangrong Li, Shuang Yang, Tomás Caraballo:
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System. 905-928 - Huadong Gao, Weiwei Sun:
Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg-Landau Equations in Superconductivity. 929-951 - Haiyong Wang:
Analysis of Error Localization of Chebyshev Spectral Approximations. 952-972 - Alain Bensoussan, Jiayue Han, Sheung Chi Phillip Yam, Xiang Zhou:
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm. 973-994 - Thomas Führer, Norbert Heuer, Antti H. Niemi:
A Discontinuous Petrov-Galerkin Method for Reissner-Mindlin Plates. 995-1017 - Yuhong Zhang, Yao Rong, Haibiao Zheng:
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers. 1018-1056 - Owe Axelsson, János Karátson, Frédéric Magoulès:
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners. 1057-1079 - Yoshihito Kazashi, Fabio Nobile:
Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions. 1080-1102 - Oleg Butkovsky, Konstantinos Dareiotis, Máté Gerencsér:
Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift. 1103-1137
Volume 61, Number 3, June 2023
- Rubén Aylwin, Carlos Jerez-Hanckes:
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains. 1139-1171 - Simone Cacace, Fabio Camilli:
Approximation of the Value Function for Optimal Control Problems on Stratified Domains. 1172-1194 - Ruming Zhang:
A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides. 1195-1217 - Wentao Cai, Weiwei Sun, Jilu Wang, Zongze Yang:
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn-Hilliard-Navier-Stokes System. 1218-1245 - Bin Wang, Xiaofei Zhao:
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations. 1246-1277 - Yu Zhou, Haijun Wu:
Dispersion Analysis of CIP-FEM for the Helmholtz Equation. 1278-1292 - Tomoki Ohsawa:
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems. 1293-1315 - Patrick Ciarlet, David Lassounon, Mahran Rihani:
An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients. 1316-1339 - Bosco García-Archilla, Volker John, Julia Novo:
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. 1340-1368 - Fernando Casas, Jesús María Sanz-Serna, Luke Shaw:
A New Optimality Property of Strang's Splitting. 1369-1385 - Meng Chen, Ka Chun Cheung, Leevan Ling:
A Kernel-Based Least-Squares Collocation Method for Surface Diffusion. 1386-1404 - Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi:
Explicit Exponential Runge-Kutta Methods for Semilinear Integro-Differential Equations. 1405-1425 - Yoshihito Kazashi, Yuya Suzuki, Takashi Goda:
Suboptimality of Gauss-Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness. 1426-1448 - Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje:
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion. 1449-1481 - Feng Shi, Yizhong Sun, Haibiao Zheng:
Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes-Darcy Model with the Beavers-Joseph Interface Conditions. 1482-1512 - Carlo Marcati, Christoph Schwab:
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. 1513-1545 - Chupeng Ma, Christian Alber, Robert Scheichl:
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems. 1546-1584 - Matthew J. Colbrook:
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. 1585-1608 - Genming Bai, Buyang Li:
Erratum: Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements. 1609-1612
Volume 61, Number 4, August 2023
- Alex Kaltenbach, Michael Ruzicka:
A Local Discontinuous Galerkin Approximation for the p-Navier-Stokes System, Part I: Convergence Analysis. 1613-1640 - Alex Kaltenbach, Michael Ruzicka:
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{{p}}\) -Navier-Stokes System, Part II: Convergence Rates for the Velocity. 1641-1663 - Marianne Bessemoulin-Chatard, Francis Filbet:
On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov-Poisson System. 1664-1688 - Bing Li, Yifei Wu, Xiaofei Zhao:
Gauge-Transformed Exponential Integrator for Generalized KdV Equations with Rough Data. 1689-1715 - Yoshio Komori, Guoguo Yang, Kevin Burrage:
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral. 1716-1736 - Nicola Guglielmi, Christian Lubich, Stefano Sicilia:
Rank-1 Matrix Differential Equations for Structured Eigenvalue Optimization. 1737-1762 - Alex Kaltenbach, Michael Ruzicka:
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier-Stokes System, Part III: Convergence Rates for the Pressure. 1763-1782 - Théophile Chaumont-Frelet, Martin Vohralík:
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem. 1783-1818 - Sören Bartels, Christian Palus, Zhangxian Wang:
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints. 1819-1834 - Klaus Deckelnick, Robert Nürnberg:
Discrete Hyperbolic Curvature Flow in the Plane. 1835-1857 - Shishun Li, Jing-Yuan Wang, Xiao-Chuan Cai:
A-Stable High-Order Block Implicit Methods for Parabolic Equations. 1858-1884 - Xiang Zhong, Weifeng Qiu:
Spectral Analysis of a Mixed Method for Linear Elasticity. 1885-1917 - Zhaonan Dong, Moritz Hauck, Roland Maier:
An Improved High-Order Method for Elliptic Multiscale Problems. 1918-1937 - Natalia Kopteva, Richard Rankin:
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations. 1938-1961 - Siyang Wang, Gunilla Kreiss:
A Finite Difference-Discontinuous Galerkin Method for the Wave Equation in Second Order Form. 1962-1988 - Wei Jiang, Chunmei Su, Ganghui Zhang:
A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow. 1989-2010
Volume 61, Number 5, October 2023
- Dongling Wang, Martin Stynes:
Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations. 2011-2034 - Changtao Sheng, Bihao Su, Chenglong Xu:
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions. 2035-2061 - Xue-Cheng Tai, Ragnar Winther, Xiaodi Zhang, Weiying Zheng:
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems. 2062-2083 - Ignacio Muga, Sergio Rojas, Patrick Vega:
An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization. 2084-2105 - Chaoyu Quan, Xu Wu:
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation. 2106-2132 - Petar Mlinaric, Serkan Gugercin:
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling. 2133-2156 - Hong-lin Liao, Nan Liu, Pin Lyu:
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models. 2157-2181 - Bowei Wu, Per-Gunnar Martinsson:
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces. 2182-2208 - Jichun Li, Li Zhu:
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski's PML Model in the Integro-Differential Form. 2209-2236 - Mingqing Chen, Jianguo Huang, Xuehai Huang:
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model. 2237-2260 - Erchuan Zhang, Lyle Noakes:
Convergence Analysis of Leapfrog for Geodesics. 2261-2284 - Jennifer Vaccaro, Konstantin Lipnikov:
Applying an Oriented Divergence Theorem to Swept Face Remap. 2285-2304 - Buyang Li, Yanping Lin, Shu Ma, Qiqi Rao:
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data. 2305-2326 - Tomas Lundquist, Arnaud G. Malan, Jan Nordström:
A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian-Eulerian Methods. 2327-2351 - Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes. 2352-2380 - Luu Hoang Duc, Peter Kloeden:
Numerical Attractors for Rough Differential Equations. 2381-2407 - Fukeng Huang, Jie Shen:
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier-Stokes Equations. 2408-2433 - Qiya Hu:
Convergence of the Hiptmair-Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results. 2434-2459 - Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. 2460-2484 - Wietse M. Boon, Alessio Fumagalli, Anna Scotti:
Mixed and Multipoint Finite Element Methods for Rotation-Based Poroelasticity. 2485-2508 - Francisco Guillén-González, André Luiz Corrêa Vianna Filho:
Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model. 2509-2533 - Erik Burman, Guillaume Delay, Alexandre Ern:
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method. 2534-2557
Volume 61, Number 6, December 2023
- Jiankang Shi, Minghua Chen:
High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term. 2559-2579 - Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen:
Resolution of Singularities by Rational Functions. 2580-2600 - Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons. 2601-2622 - Georg Schlüchtermann, Michael Wibmer:
Numerical Solution of Free Stochastic Differential Equations. 2623-2650 - Chen Liu, Rami Masri, Beatrice Riviere:
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System. 2651-2694 - Limin Ma, Zhonghua Qiao:
An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg-Landau Equations under the Temporal Gauge. 2695-2717 - Minglei Yang, Guannan Zhang, Diego del-Castillo-Negrete, Yanzhao Cao:
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints. 2718-2743 - Qin Li, Li Wang, Yunan Yang:
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation. 2744-2774 - Anna Kh. Balci, Lars Diening, Johannes Storn:
Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent. 2775-2794 - Chiu-Yen Kao, Braxton Osting, Édouard Oudet:
Harmonic Functions on Finitely Connected Tori. 2795-2812 - Radu Ioan Bot, Dang-Khoa Nguyen:
Fast Krasnosel'skiĭ-Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\). 2813-2843 - Ernst Hairer, Christian Lubich, Yanyan Shi:
Leapfrog Methods for Relativistic Charged-Particle Dynamics. 2844-2858 - Erik Burman, Deepika Garg, Johnny Guzmán:
Implicit-Explicit Time Discretization for Oseen's Equation at High Reynolds Number with Application to Fractional Step Methods. 2859-2886 - Lucas Bouck, Ricardo H. Nochetto, Shuo Yang:
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks. 2887-2916 - Ruming Zhang:
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems. 2917-2939 - Alexandre Ern, Jean-Luc Guermond:
The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct. 2940-2966 - Harbir Antil, Patrick W. Dondl, Ludwig Striet:
Analysis of a sinc-Galerkin Method for the Fractional Laplacian. 2967-2993 - Kota Takeda, Takashi Sakajo:
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds. 2994-3013
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