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ORCIDSIAM Journal on Numerical Analysis, Volume 59
Volume 59, Number 1, 2021
- Lina Zhao
, Eric T. Chung, Eun-Jae Park, Guanyu Zhou:
Staggered DG Method for Coupling of the Stokes and Darcy-Forchheimer Problems. 1-31 - Chuchu Chen, Jialin Hong, Diancong Jin, Liying Sun:
Asymptotically-Preserving Large Deviations Principles by Stochastic Symplectic Methods for a Linear Stochastic Oscillator. 32-59 - Julian Fischer, Daniel Matthes:
The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations. 60-87 - Yu Leng, Xiaochuan Tian, Nathaniel Trask, John T. Foster:
Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion. 88-118 - Bangti Jin, Zhi Zhou:
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems. 119-142 - Youngsoo Ha, Changho Kim, Hyoseon Yang, Jungho Yoon:
Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space. 143-172 - Emmanuil H. Georgoulis:
Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation. 173-194 - Martin J. Gander, Julian Hennicker, Roland Masson:
Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models. 195-218 - Stefan Metzger:
An Efficient and Convergent Finite Element Scheme for Cahn-Hilliard Equations with Dynamic Boundary Conditions. 219-248 - Dietmar Gallistl:
A Posteriori Error Analysis of the inf-sup Constant for the Divergence. 249-264 - Georgios Akrivis, Buyang Li, Jilu Wang:
Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. 265-288 - Gianluca Ceruti, Christian Lubich, Hanna Walach:
Time Integration of Tree Tensor Networks. 289-313 - Yuji Nakatsukasa, Alex Townsend:
Error Localization of Best L1 Polynomial Approximants. 314-333 - Julia Novo, Samuele Rubino:
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows. 334-369 - Pengwen Chen, Chung-Kuan Cheng, Xinyuan Wang:
Arnoldi Algorithms with Structured Orthogonalization. 370-400 - Nan Jiang, Ying Li, Huanhuan Yang:
An Artificial Compressibility Crank-Nicolson Leap-Frog Method for the Stokes-Darcy Model and Application in Ensemble Simulations. 401-428 - Rachael T. Keller, Qiang Du:
Discovery of Dynamics Using Linear Multistep Methods. 429-455 - Youngjoon Hong, David P. Nicholls:
A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures. 456-476 - Maya Briani, Lucia Caramellino, Giulia Terenzi:
Convergence Rate of Markov Chains and Hybrid Numerical Schemes to Jump-Diffusion with Application to the Bates Model. 477-502 - Philip L. Lederer:
A Hellan-Herrmann-Johnson-like Method for the Stream Function Formulation of the Stokes Equations in Two and Three Space Dimensions. 503-524 - Côme Huré, Huyên Pham, Achref Bachouch, Nicolas Langrené:
Deep Neural Networks Algorithms for Stochastic Control Problems on Finite Horizon: Convergence Analysis. 525-557 - Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino:
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. 558-582 - Elyes Ahmed, Alessio Fumagalli, Ana Budisa, Eirik Keilegavlen, Jan M. Nordbotten, Florin A. Radu:
Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. 583-612
Volume 59, Number 2, 2021
- Jingwei Hu, Kunlun Qi, Tong Yang:
A New Stability and Convergence Proof of the Fourier-Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation. 613-633 - Shaobo Lin, Yuguang Wang, Ding-Xuan Zhou:
Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere. 634-659 - Julian Fischer, Dietmar Gallistl, Daniel Peterseim:
A Priori Error Analysis of a Numerical Stochastic Homogenization Method. 660-674 - Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization. 675-695 - Carsten Carstensen, Neela Nataraj:
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. 696-719 - Gang Chen, Peter B. Monk, Yangwen Zhang:
L∞ Norm Error Estimates for HDG Methods Applied to the Poisson Equation with an Application to the Dirichlet Boundary Control Problem. 720-745 - Shi Jin, Lei Li, Jian-Guo Liu:
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights. 746-768 - Arnold Reusken, Benjamin Stamm:
Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model. 769-796 - Ruchi Guo:
Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis. 797-828 - Alexandre L. Madureira, Marcus Sarkis:
Hybrid Localized Spectral Decomposition for Multiscale Problems. 829-863 - Herbert Egger, Bogdan Radu:
A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra. 864-885 - Xiaobing Feng, Thomas L. Lewis:
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. 886-924 - Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. 925-954 - Carsten Carstensen, Rui Ma:
Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates. 955-982 - Lennard Kamenski:
Sharp Bounds on the Smallest Eigenvalue of Finite Element Equations with Arbitrary Meshes without Regularity Assumptions. 983-997 - Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza, Axel Osses:
Carleman-Based Reconstruction Algorithm for Waves. 998-1039 - Weizhu Bao, Yongyong Cai, Jia Yin:
Uniform Error Bounds of Time-Splitting Methods for the Nonlinear Dirac Equation in the Nonrelativistic Regime without Magnetic Potential. 1040-1066 - Roland Maier:
A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients. 1067-1089 - Michael Neilan, M. Baris Otus:
Divergence-free Scott-Vogelius Elements on Curved Domains. 1090-1116 - Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten:
A Mixed Approach to the Poisson Problem with Line Sources. 1117-1139 - Christian Glusa, Enrique Otárola:
Error Estimates for the Optimal Control of a Parabolic Fractional PDE. 1140-1165
Volume 59, Number 3, 2021
- Ulrik S. Fjordholm, Adrian Montgomery Ruf:
Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws. 1167-1194 - Dietmar Gallistl, Mira Schedensack:
Taylor-Hood Discretization of the Reissner-Mindlin Plate. 1195-1217 - Mark Ainsworth, Charles Parker:
Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part I: Uniform Stability. 1218-1244 - Mark Ainsworth, Charles Parker:
Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part II: Optimal Convergence. 1245-1272 - Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton:
Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem. 1273-1298 - Jianfang Lu, Yong Liu, Chi-Wang Shu:
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. 1299-1324 - Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer:
Low-Rank Updates of Matrix Functions II: Rational Krylov Methods. 1325-1347 - Carsten Carstensen, Ngoc Tien Tran:
Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems. 1348-1373 - Shuhuang Xiang:
Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities. 1374-1398 - Kristian Bredies, Richard Huber:
Convergence Analysis of Pixel-Driven Radon and Fanbeam Transforms. 1399-1432 - Yongke Wu, Yanhong Bai:
Error Analysis of Energy-Preserving Mixed Finite Element Methods for the Hodge Wave Equation. 1433-1454 - René Carmona, Mathieu Laurière:
Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case. 1455-1485 - Vít Dolejsí, Filip Roskovec, Miloslav Vlasák:
A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems. 1486-1509 - Wei Gong, Shengfeng Zhu:
On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization. 1510-1541 - Jesús María Sanz-Serna, Konstantinos C. Zygalakis:
The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations. 1542-1565 - Xiaobing Feng, Buyang Li, Shu Ma:
High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation. 1566-1591 - Buyang Li:
Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements. 1592-1617 - Jay Miles Appleton, Brian T. Helenbrook:
A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods. 1618-1638 - Rong An, Huadong Gao, Weiwei Sun:
Optimal Error Analysis of Euler and Crank-Nicolson Projection Finite Difference Schemes for Landau-Lifshitz Equation. 1639-1662 - Lise-Marie Imbert-Gérard:
Amplitude-based Generalized Plane Waves: New Quasi-Trefftz Functions for Scalar Equations in two dimensions. 1663-1686 - Caroline L. Wormell, Sebastian Reich:
Spectral Convergence of Diffusion Maps: Improved Error Bounds and an Alternative Normalization. 1687-1734 - Frédéric Rousset, Katharina Schratz:
A General Framework of Low Regularity Integrators. 1735-1768 - Bérangère Delourme, Laurence Halpern:
A Complex Homographic Best Approximation Problem. Application to Optimized Robin-Schwarz Algorithms, and Optimal Control Problems. 1769-1810 - Siddhartha Mishra, T. Konstantin Rusch:
Enhancing Accuracy of Deep Learning Algorithms by Training with Low-Discrepancy Sequences. 1811-1834 - Huayi Wei, Xuehai Huang, Ao Li:
Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions. 1835-1856
Volume 59, Number 4, 2021
- Dylan Abrahamsen, Bengt Fornberg:
On the Infinite Order Limit of Hermite-based Finite Difference Schemes. 1857-1874 - Weiwei Sun:
Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media. 1875-1895 - Daniel Hoff, Holger Wendland:
A Meshfree Method for a PDE-Constrained Optimization Problem. 1896-1917 - Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local Energy Estimates for the Fractional Laplacian. 1918-1947 - Fabian Wagner, Jonas Latz, Iason Papaioannou, Elisabeth Ullmann:
Error Analysis for Probabilities of Rare Events with Approximate Models. 1948-1975 - Lehel Banjai, Gabriel J. Lord, Jeta Molla:
Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation. 1976-2003 - Éliane Bécache, Maryna Kachanovska:
Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides. 2004-2039 - Samir Karaa:
Positivity of Discrete Time-Fractional Operators with Applications to Phase-Field Equations. 2040-2053 - Martin Halla:
Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems. 2054-2074 - Bin Wang, Xiaofei Zhao:
Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field. 2075-2105 - Jiaxin Zhou, Wangtao Lu:
Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method. 2106-2137 - Felix Scholz, Bert Jüttler:
Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains. 2138-2162 - Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu:
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. 2163-2196 - Chuchu Chen:
A Symplectic Discontinuous Galerkin Full Discretization for Stochastic Maxwell Equations. 2197-2217 - Dominic Breit, Martina Hofmanová, Sébastien Loisel:
Space-Time Approximation of Stochastic p-Laplace-Type Systems. 2218-2236 - Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, Joachim Schöberl:
A Polynomial-Degree-Robust A Posteriori Error Estimator for Nédélec Discretizations of Magnetostatic Problems. 2237-2253 - Zhiyan Ding, Lukas Einkemmer, Qin Li:
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. 2254-2285 - Ansgar Jüngel, Antoine Zurek:
A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada-Kawasaki-Teramoto Population System. 2286-2309 - Haidar Mohamad, Marcel Oliver:
Numerical Integration of Functions of a Rapidly Rotating Phase. 2310-2319
Volume 59, Number 5, 2021
- Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, Shuaikun Wang:
An Energy Stable and Positivity-Preserving Scheme for the Maxwell-Stefan Diffusion System. 2321-2345 - Mohammad Al Azah, Simon N. Chandler-Wilde:
Computation of the Complex Error Function Using Modified Trapezoidal Rules. 2346-2367 - Erik Burman, Guillaume Delay, Alexandre Ern:
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation. 2368-2392 - Daniel Potts, Michael Schmischke:
Approximation of High-Dimensional Periodic Functions with Fourier-Based Methods. 2393-2429 - Bo Gong, Jiguang Sun, Xinming Wu:
Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues. 2430-2448 - Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou:
The Energy Technique for the Six-Step BDF Method. 2449-2472 - Brian Fitzpatrick, Enzo De Sena, Toon van Waterschoot:
On the Convergence of the Multipole Expansion Method. 2473-2499 - Qiya Hu:
Convergence of the Hiptmair-Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition. 2500-2535 - Jianliang Qian, Chao Song:
Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains. 2536-2570 - Lars Diening, Johannes Storn, Tabea Tscherpel:
On the Sobolev and Lp-Stability of the L2-Projection. 2571-2607 - Yi Yu, Maksymilian Dryja, Marcus Sarkis:
From Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz Methods. 2608-2638 - Siting Liu, Matthew Jacobs, Wuchen Li, Levon Nurbekyan, Stanley J. Osher:
Computational Methods for First-Order Nonlocal Mean Field Games with Applications. 2639-2668 - Sofia Eriksson, Siyang Wang:
Summation-by-Parts Approximations of the Second Derivative: Pseudoinverse and Revisitation of a High Order Accurate Operator. 2669-2697 - Klaus Deckelnick, Robert Nürnberg:
Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces. 2698-2721 - Bin Dong, Zuowei Shen, Jianbin Yang:
Approximation from Noisy Data. 2722-2745 - Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon:
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. 2746-2774 - Weizhu Bao, Quan Zhao:
A Structure-Preserving Parametric Finite Element Method for Surface Diffusion. 2775-2799
Volume 59, Number 6, 2021
- Yuji Nakatsukasa, Lloyd N. Trefethen:
Reciprocal-Log Approximation and Planar PDE Solvers. 2801-2822 - Changqing Ye, Junzhi Cui:
Convergence of Dziuk's Fully Discrete Linearly Implicit Scheme for Curve Shortening Flow. 2823-2842 - Angxiu Ni:
Approximating Linear Response by Nonintrusive Shadowing Algorithms. 2843-2865 - Jianbo Cui, Jialin Hong, Liying Sun:
Strong Convergence of Full Discretization for Stochastic Cahn-Hilliard Equation Driven by Additive Noise. 2866-2899 - Gang Bao, Peijun Li, Xiaokai Yuan:
An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions. 2900-2925 - Fukeng Huang, Jie Shen:
Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier-Stokes Equations with Periodic Boundary Conditions. 2926-2954 - Débora de Oliveira Medeiros, Hirofumi Notsu, Cassio M. Oishi:
Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative. 2955-2988 - Upanshu Sharma, Wei Zhang:
NonReversible Sampling Schemes on Submanifolds. 2989-3031 - Mazen Ali, Anthony Nouy:
Approximation of Smoothness Classes by Deep Rectifier Networks. 3032-3051 - Xinlong Feng, Xueling Huang, Kun Wang:
Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations. 3052-3076 - Juan Casado-Díaz, Carlos Conca, Donato Vásquez-Varas:
Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material. 3077-3097 - D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis:
Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations. 3098-3101
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