Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes Jesse ChanMario J. BencomoDavid C. Del Rey Fernández OriginalPaper 15 October 2021 Article: 51
An Efficient Inertial Type Iterative Algorithm to Approximate the Solutions of Quasi Variational Inequalities in Real Hilbert Spaces Ayşegül Keten ÇopurEmirhan HacıoğluMüzeyyen Ertürk OriginalPaper 15 October 2021 Article: 50
Second-Order and Nonuniform Time-Stepping Schemes for Time Fractional Evolution Equations with Time–Space Dependent Coefficients Pin LyuSeakweng Vong OriginalPaper 14 October 2021 Article: 49
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme Alina ChertockShaoshuai ChuAlexander Kurganov OriginalPaper 13 October 2021 Article: 48
Efficient Structure Preserving Schemes for the Klein–Gordon–Schrödinger Equations Yanrong ZhangJie Shen OriginalPaper 12 October 2021 Article: 47
A Relaxed Interior Point Method for Low-Rank Semidefinite Programming Problems with Applications to Matrix Completion Stefania BellaviaJacek GondzioMargherita Porcelli OriginalPaper Open access 11 October 2021 Article: 46
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions Maohui LyuVrushali A. BokilFengyan Li OriginalPaper 11 October 2021 Article: 45
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines Gianluca FabianiFrancesco CalabròConstantinos Siettos OriginalPaper Open access 11 October 2021 Article: 44
Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere Shan JiangHaijun Yu OriginalPaper 09 October 2021 Article: 43
Accurate Boundary Treatment for Riesz Space Fractional Diffusion Equations Shaoqiang TangGang Pang OriginalPaper 09 October 2021 Article: 42
An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases Maxim OlshanskiiAnnalisa QuainiQi Sun OriginalPaper 09 October 2021 Article: 41
Numerical Integrators for Continuous Disordered Nonlinear Schrödinger Equation Xiaofei Zhao OriginalPaper 07 October 2021 Article: 40
A Posteriori Error Estimates for Parabolic Optimal Control Problems with Controls Acting on Lower Dimensional Manifolds Ram ManoharRajen Kumar Sinha OriginalPaper 06 October 2021 Article: 39
Singularly Perturbed Reaction–Diffusion Problems as First order systems Sebastian Franz OriginalPaper Open access 05 October 2021 Article: 38
Convergence Analysis of the Continuous and Discrete Non-overlapping Double Sweep Domain Decomposition Method Based on PMLs for the Helmholtz Equation Seungil KimHui Zhang OriginalPaper 04 October 2021 Article: 37
Adaptive Finite Element Method for Dirichlet Boundary Control of Elliptic Partial Differential Equations Shaohong DuZhiqiang Cai OriginalPaper 03 October 2021 Article: 36
A Hybrid Moment Method for Multi-scale Kinetic Equations Based on Maximum Entropy Principle Weiming LiPeng SongYanli Wang OriginalPaper 02 October 2021 Article: 35
Error Constants for the Semi-Discrete Galerkin Approximation of the Linear Heat Equation Makoto MizuguchiMitsuhiro T. NakaoShin’ichi Oishi OriginalPaper Open access 29 September 2021 Article: 34
The BDF3/EP3 Scheme for MBE with No Slope Selection is Stable Dong LiChaoyu QuanWen Yang OriginalPaper 23 September 2021 Article: 33
An Optimal Finite Difference Scheme with Minimized Dispersion and Adaptive Dissipation Considering the Spectral Properties of the Fully Discrete Scheme Zhensheng SunYu HuKai Mao OriginalPaper 23 September 2021 Article: 32
Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping Sixtine MichelDavide TorloRémi Abgrall OriginalPaper 21 September 2021 Article: 31
Inverses of SBP-SAT Finite Difference Operators Approximating the First and Second Derivative Sofia Eriksson OriginalPaper Open access 21 September 2021 Article: 30
Time Step Restrictions for Strong-Stability-Preserving Multistep Runge–Kutta Discontinuous Galerkin Methods Benjamin YeagerEthan KubatkoDylan Wood OriginalPaper 17 September 2021 Article: 29