Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data Bikram BirDeepjyoti GoswamiAmiya K. Pani OriginalPaper 23 January 2024 Article: 51
Crank–Nicolson Schemes for Sub-Diffusion Equations with Nonsingular and Singular Source Terms in Time Han ZhouWenyi Tian OriginalPaper 18 January 2024 Article: 50
Enhancing Electrical Impedance Tomography Reconstruction Using Learned Half-Quadratic Splitting Networks with Anderson Acceleration Guixian XuHuihui WangQingping Zhou OriginalPaper 18 January 2024 Article: 49
Deep Ritz Method for Elliptical Multiple Eigenvalue Problems Xia JiYuling JiaoFengru Wang OriginalPaper 17 January 2024 Article: 48
Pricing Discretely Monitored Asian Options Under Regime-Switching and Stochastic Volatility Models with Jumps Weinan ZhangPingping ZengYue Kuen Kwok OriginalPaper 17 January 2024 Article: 47
Least-Squares Virtual Element Method for Stokes Problems on Polygonal Meshes Gang WangYing Wang OriginalPaper 17 January 2024 Article: 46
Free-Boundary Problems for Wave–Structure Interactions in Shallow-Water: DG-ALE Description and Local Subcell Correction Ali HaidarFabien MarcheFrançois Vilar OriginalPaper 17 January 2024 Article: 45
A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs Lingfeng LiXue-Cheng TaiQuanhui Zhu OriginalPaper 17 January 2024 Article: 44
High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State Linfeng XuShengrong DingKailiang Wu OriginalPaper 11 January 2024 Article: 43
A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem Heping DongPeijun Li OriginalPaper 10 January 2024 Article: 42
Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates Longfei LiHangjie JiQi Tang OriginalPaper 04 January 2024 Article: 41
The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme Farid BozorgniaLeon BungertDaniel Tenbrinck OriginalPaper Open access 04 January 2024 Article: 40
Unconditionally Positive, Explicit, Fourth Order Method for the Diffusion- and Nagumo-Type Diffusion–Reaction Equations Endre KovácsJános MajárMahmoud Saleh OriginalPaper 03 January 2024 Article: 39
A \(C^1\)-Conforming Arbitrary-Order Two-Dimensional Virtual Element Method for the Fourth-Order Phase-Field Equation Dibyendu AdakGianmarco ManziniLampros Svolos OriginalPaper 03 January 2024 Article: 38
Convergence Analysis for Virtual Element Discretizations of the Cardiac Bidomain Model Ngoc Mai Monica Huynh OriginalPaper 03 January 2024 Article: 37
Low-light Image Enhancement via Dual Reflectance Estimation Fan JiaTiange WangTieyong Zeng OriginalPaper 03 January 2024 Article: 36
Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn–Hilliard Equation Yaoyao ChenYunqing HuangPeimeng Yin OriginalPaper 03 January 2024 Article: 35
A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers Claudius BirkeWalter BoscheriChristian Klingenberg OriginalPaper Open access 03 January 2024 Article: 34
A Shock Stabilization of the HLLC Riemann Solver for the Carbuncle Instability Alexandra BaumgartSamuel W. JonesJoshua C. Dolence OriginalPaper 03 January 2024 Article: 33
An Explicit Exponential Integrator Based on Faber Polynomials and its Application to Seismic Wave Modeling Fernando V. RaveloPedro S. PeixotoMartin Schreiber OriginalPaper 03 January 2024 Article: 32
On Finite Volume Methods for a Navier–Stokes Variational Inequality Feifei JingWeimin HanWenjing Yan OriginalPaper 03 January 2024 Article: 31