A Spatio-temporal Optimal, Hybird Compact–WENO Scheme with Minimized Dispersion and Critical-adaptive Dissipation for Solving Compressible Flows Siye LiZhensheng SunDing Yao OriginalPaper 15 June 2022 Article: 29
HHO Methods for the Incompressible Navier-Stokes and the Incompressible Euler Equations Lorenzo BottiFrancesco Carlo Massa OriginalPaper Open access 14 June 2022 Article: 28
An Asymptotic-Preserving IMEX Method for Nonlinear Radiative Transfer Equation Jinxue FuWeiming LiYanli Wang OriginalPaper 14 June 2022 Article: 27
Efficient Energy-Preserving Exponential Integrators for Multi-component Hamiltonian Systems Xuelong GuChaolong JiangWenjun Cai OriginalPaper 14 June 2022 Article: 26
Analysis of a Full Discretization for a Fractional/Normal Diffusion Equation with Rough Dirichlet Boundary Data Qin ZhouMinfu Feng OriginalPaper 11 June 2022 Article: 25
Solving Biharmonic Eigenvalue Problem With Navier Boundary Condition Via Poisson Solvers On Non-Convex Domains Baiju ZhangHengguang LiZhimin Zhang OriginalPaper 11 June 2022 Article: 24
Discovery of Subdiffusion Problem with Noisy Data via Deep Learning Xingjian XuMinghua Chen OriginalPaper 09 June 2022 Article: 23
A Geometric Proximal Gradient Method for Sparse Least Squares Regression with Probabilistic Simplex Constraint Guiyun XiaoZheng-Jian Bai OriginalPaper 08 June 2022 Article: 22
An Adaptive Generalized Multiscale Finite Element Method Based Two-Grid Preconditioner for Large Scale High-Contrast Linear Elasticity Problems Yanfang YangShubin FuEric T. Chung OriginalPaper 08 June 2022 Article: 21
Unconditionally Energy Stable and Bound-Preserving Schemes for Phase-Field Surfactant Model with Moving Contact Lines Chenxi WangYichen GuoZhen Zhang OriginalPaper 07 June 2022 Article: 20
Adaptive Quasi-Monte Carlo Finite Element Methods for Parametric Elliptic PDEs Marcello Longo OriginalPaper Open access 06 June 2022 Article: 19
A Class of Unconditioned Stable 4-Point WSGD Schemes and Fast Iteration Methods for Space Fractional Diffusion Equations Zi-Hang She OriginalPaper 06 June 2022 Article: 18
Superconvergent Pseudostress-Velocity Finite Element Methods for the Oseen Equations Xi ChenYuwen Li OriginalPaper 04 June 2022 Article: 17
Motion by Mean Curvature with Constraints Using a Modified Allen–Cahn Equation Soobin KwakHyun Geun LeeJunseok Kim OriginalPaper 03 June 2022 Article: 16
Divergence/Connection Preservation Scheme in the Curvilinear Domain with a Small Geometric Approximation Error Sehun ChunTaejin Oh OriginalPaper Open access 03 June 2022 Article: 15
Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs Xinghui ZhongChi-Wang Shu OriginalPaper 02 June 2022 Article: 14
A Pressure Projection Stabilized Mixed Finite Element Method for a Stokes Hemivariational Inequality Min LingWeimin HanShengda Zeng OriginalPaper 02 June 2022 Article: 13
An Adaptive Data-Driven Reduced Order Model Based on Higher Order Dynamic Mode Decomposition Víctor BeltránSoledad Le ClaincheJosé M. Vega OriginalPaper 02 June 2022 Article: 12
The Arrow–Hurwicz Iterative Finite Element Method for the Stationary Thermally Coupled Incompressible Magnetohydrodynamics Flow Aytura KeramPengzhan Huang OriginalPaper 01 June 2022 Article: 11
Primal Hybrid Method For Quasilinear Parabolic Problems Ravina ShokeenAjit PatelAmiya K. Pani OriginalPaper 31 May 2022 Article: 10
A Conforming Discontinuous Galerkin Finite Element Method for Linear Elasticity Interface Problems Yue WangFuzheng GaoJintao Cui OriginalPaper 30 May 2022 Article: 9
Tensor Completion via Fully-Connected Tensor Network Decomposition with Regularized Factors Yu-Bang ZhengTing-Zhu HuangQibin Zhao OriginalPaper 21 May 2022 Article: 8
Perturbed Runge–Kutta Methods for Mixed Precision Applications Zachary J. Grant OriginalPaper 19 May 2022 Article: 6
C0-IPM with Generalised Periodicity and Application to Flexoelectricity-Based 2D Metamaterials Oscar Balcells-QuintanaDavid CodonySonia Fernández-Méndez OriginalPaper 18 May 2022 Article: 5
An Effective Finite Element Method with Shifted Fractional Powers Bases for Fractional Boundary Value Problems Taibai FuChangfa DuYufeng Xu OriginalPaper 17 May 2022 Article: 4
A Decision-Making Machine Learning Approach in Hermite Spectral Approximations of Partial Differential Equations L. FatoneD. FunaroG. Manzini OriginalPaper 17 May 2022 Article: 3
Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation Christoph ErathLorenzo MascottoAlexander Rieder OriginalPaper 16 May 2022 Article: 2
An Improved Local-Min-Orthogonal Method for Finding Multiple Solutions to Nonlinear Elliptic PDEs Xianjin ChenZhaoxiang LiJianxin Zhou OriginalPaper 16 May 2022 Article: 1
