Exponential Integrators for Second-Order in Time Partial Differential Equations Duy PhanAlexander Ostermann Review Open access 12 October 2022 Article: 58
Deep-HyROMnet: A Deep Learning-Based Operator Approximation for Hyper-Reduction of Nonlinear Parametrized PDEs Ludovica CicciStefania FrescaAndrea Manzoni OriginalPaper Open access 11 October 2022 Article: 57
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows Saray BustoMichael Dumbser OriginalPaper Open access 10 October 2022 Article: 56
A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models Wansheng WangMengli MaoYi Huang OriginalPaper 10 October 2022 Article: 55
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model Birgul KocChanghong MouTraian Iliescu OriginalPaper 08 October 2022 Article: 54
Dissipation-Preserving Rational Spectral-Galerkin Method for Strongly Damped Nonlinear Wave System Involving Mixed Fractional Laplacians in Unbounded Domains Shimin GuoWenjing YanLiquan Mei OriginalPaper 07 October 2022 Article: 53
A Stochastic Nesterov’s Smoothing Accelerated Method for General Nonsmooth Constrained Stochastic Composite Convex Optimization Ruyu WangChao ZhangYuanhai Shao OriginalPaper 07 October 2022 Article: 52
High-Order ADI-FDTD Schemes for Maxwell’s Equations with Material Interfaces in Two Dimensions Na GongWanshan Li OriginalPaper 05 October 2022 Article: 51
A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations Sergio CaucaoGabriel N. GaticaPaulo Zúñiga OriginalPaper 30 September 2022 Article: 50
Multi-Dimensional Image Recovery via Fully-Connected Tensor Network Decomposition Under the Learnable Transforms Cheng-Yao LyuXi-Le ZhaoTing-Zhu Huang OriginalPaper 29 September 2022 Article: 49
The Spectral Difference Raviart–Thomas Method for Two and Three-Dimensional Elements and Its Connection with the Flux Reconstruction Formulation G. Sáez-MischlichJ. Sierra-AusínJ. Gressier OriginalPaper 29 September 2022 Article: 48
Tensor Completion via A Generalized Transformed Tensor T-Product Decomposition Without t-SVD Hongjin HeChen LingWenhui Xie OriginalPaper 29 September 2022 Article: 47
Optimal Error Estimates of the Local Discontinuous Galerkin Method and High-order Time Discretization Scheme for the Swift–Hohenberg Equation Lingling ZhouRuihan Guo OriginalPaper 28 September 2022 Article: 46
A Sixth-Order Quasi-Compact Difference Scheme for Multidimensional Poisson Equations Without Derivatives of Source Term Tao SunZhi WangChengjian Zhang OriginalPaper 27 September 2022 Article: 45
An Efficient QSC Approximation of Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations with Variably Diffusive Coefficients Jun LiuHongfei Fu OriginalPaper 27 September 2022 Article: 44
A New Adaptation Strategy for Multi-resolution Method Lin FuTian Liang OriginalPaper 24 September 2022 Article: 43
A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle T. M. CavalcanteR. J. M. Lira FilhoP. R. M. Lyra OriginalPaper 21 September 2022 Article: 42
Two Harmonic Jacobi–Davidson Methods for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair Jinzhi HuangZhongxiao Jia OriginalPaper 16 September 2022 Article: 41
A Kernel-Independent Sum-of-Exponentials Method Zixuan GaoJiuyang LiangZhenli Xu OriginalPaper 16 September 2022 Article: 40
Optimal Convergence of the Scalar Auxiliary Variable Finite Element Method for the Natural Convection Equations Yaping LiWeidong ZhaoWenju Zhao OriginalPaper 16 September 2022 Article: 39
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows Tao TangXu WuJiang Yang OriginalPaper 16 September 2022 Article: 38
A Convergent Iterated Quasi-interpolation for Periodic Domain and Its Applications to Surface PDEs Zhengjie SunWenwu GaoRan Yang OriginalPaper 16 September 2022 Article: 37
Accurate High-Order Tensor-Product Generalized Summation-By-Parts Discretizations of Hyperbolic Conservation Laws: General Curved Domains and Functional Superconvergence David A. Craig PennerDavid W. Zingg OriginalPaper 16 September 2022 Article: 36
A Discontinuous Galerkin Overset Scheme Using WENO Reconstruction and Subcells for Two-Dimensional Problems S. R. Siva Prasad KochiM. Ramakrishna OriginalPaper 16 September 2022 Article: 35
