Mesh-Dependent \(L^2\)-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions Konstantinos ChrysafinosEmmanuil H. GeorgoulisVassilis D. Papadopoulos OriginalPaper 21 May 2024 Article: 8
Coupled and Decoupled Stabilized Finite Element Methods for the Stokes–Darcy-Transport Problem Yongshuai WangFeng ShiHaibiao Zheng OriginalPaper 21 May 2024 Article: 7
Efficient WENO Schemes for Nonuniform Grids M. Carmen MartíPep MuletDavid Zorío OriginalPaper Open access 21 May 2024 Article: 6
A Unified \(L^2\) Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations Bingquan JiHong-lin Liao OriginalPaper 21 May 2024 Article: 5
A Divergence-Free Petrov–Galerkin Immersed Finite Element Method for Stokes Interface Problem Na ZhuHongxing Rui OriginalPaper 21 May 2024 Article: 4
Time Reparametrization and Event Location for Discontinuous Differential Algebraic Equations L. LopezS. Maset OriginalPaper Open access 21 May 2024 Article: 3
Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions Koya SakakibaraYuuki Shimizu OriginalPaper Open access 17 May 2024 Article: 2
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System Qianqian DingXiaonian LongRuijie Xi OriginalPaper 17 May 2024 Article: 1
A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints Yingxin ZhouHongjin HeLinan Zhang OriginalPaper 11 May 2024 Article: 89
An Isoparametric Finite Element Method for Time-fractional Parabolic Equation on 2D Curved Domain Zhixin LiuMinghui SongHui Liang OriginalPaper 11 May 2024 Article: 88
An \(\alpha \)-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation Kassem MustaphaWilliam McLeanJosef Dick OriginalPaper Open access 09 May 2024 Article: 87
A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems Jindong WangShuonan Wu OriginalPaper 09 May 2024 Article: 86
A High-Order Shifted Boundary Virtual Element Method for Poisson Equations on 2D Curved Domains Yongli HouYi LiuYanqiu Wang OriginalPaper 09 May 2024 Article: 85
Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models Yihong ChenQian HuangWen-An Yong OriginalPaper 08 May 2024 Article: 84
A Local Approach to Parameter Space Reduction for Regression and Classification Tasks Francesco RomorMarco TezzeleGianluigi Rozza OriginalPaper Open access 07 May 2024 Article: 83
Global Convergence in Learning Fully-Connected ReLU Networks Via Un-rectifying Based on the Augmented Lagrangian Approach Shih-Shuo TungMing-Yu ChungWen-Liang Hwang OriginalPaper 07 May 2024 Article: 82
Analysis of a Parallel Grad-Div Stabilized Method for the Navier–Stokes Problem with Friction Boundary Conditions Bo ZhengHongtao RanYueqiang Shang OriginalPaper 07 May 2024 Article: 81
Analysis of a New NFV Scheme Preserving DMP for Two-Dimensional Sub-diffusion Equation on Distorted Meshes Xuehua YangZhimin Zhang OriginalPaper 06 May 2024 Article: 80
A Corrected Inexact Proximal Augmented Lagrangian Method with a Relative Error Criterion for a Class of Group-Quadratic Regularized Optimal Transport Problems Lei YangLing LiangKim-Chuan Toh OriginalPaper 04 May 2024 Article: 79
Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model Zhen LiDingFang Li OriginalPaper 04 May 2024 Article: 78
Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems Tiangang CuiHans De SterckRobert Scheichl OriginalPaper Open access 03 May 2024 Article: 77
Analysis of a Narrow-Stencil Finite Difference Method for Approximating Viscosity Solutions of Fully Nonlinear Second Order Parabolic PDEs Xiang ZhongWeifeng Qiu OriginalPaper 02 May 2024 Article: 76
A Second-Order SO(3)-Preserving and Energy-Stable Scheme for Orthonormal Frame Gradient Flow Model of Biaxial Nematic Liquid Crystals Hanbin WangJie XuZhiguo Yang OriginalPaper 02 May 2024 Article: 75
On the Improved Conditions for Some Primal-Dual Algorithms Ming YanYao Li OriginalPaper 02 May 2024 Article: 74
Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain Valentin RitzenthalerPierre CantinXavier Ferrieres OriginalPaper 30 April 2024 Article: 73
Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method Decheng KongHongxing RuiWenju Zhao OriginalPaper 29 April 2024 Article: 72
High-Order Bound-Preserving Local Discontinuous Galerkin Methods for Incompressible and Immiscible Two-Phase Flows in Porous Media Xiuhui GuoHui GuoYang Yang OriginalPaper 29 April 2024 Article: 71
Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations Nanyi ZhengXiaofeng CaiJianxian Qiu OriginalPaper Open access 29 April 2024 Article: 70
Enhanced Low-Rank Tensor Recovery Fusing Reweighted Tensor Correlated Total Variation Regularization for Image Denoising Kai HuangWeichao KongJianjun Wang OriginalPaper 25 April 2024 Article: 69
Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation Margherita GuidoDaniel KressnerPaolo Ricci OriginalPaper Open access 23 April 2024 Article: 68
High Order Absolutely Convergent Fast Sweeping Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal Equations Rentian HuYong-Tao Zhang OriginalPaper 23 April 2024 Article: 67
Algorithms for Square Root of Semi-Infinite Quasi-Toeplitz M-Matrices Hongjia ChenHyun-Min KimJie Meng OriginalPaper 22 April 2024 Article: 66
An Ultra-weak Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for the KdV–Burgers–Kuramoto Equation Guotao LinDazhi ZhangBoying Wu OriginalPaper 22 April 2024 Article: 65
An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain Stefan FreiManeesh Kumar Singh OriginalPaper Open access 22 April 2024 Article: 64
Block Preconditioning Methods for Asymptotic Preserving Scheme Arising in Anisotropic Elliptic Problems Lingxiao LiChang Yang OriginalPaper 20 April 2024 Article: 63
Symplectic Hamiltonian Finite Element Methods for Semilinear Wave Propagation Manuel A. SánchezJoaquín Valenzuela OriginalPaper 20 April 2024 Article: 62
Asymptotic-Preserving Neural Networks for Multiscale Vlasov–Poisson–Fokker–Planck System in the High-Field Regime Shi JinZheng MaTian-ai Zhang OriginalPaper 20 April 2024 Article: 61
Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation Hengfei DingHaidong QuQian Yi OriginalPaper 20 April 2024 Article: 60
A Mixed FEM for a Time-Fractional Fokker–Planck Model Samir KaraaKassem MustaphaNaveed Ahmed OriginalPaper 20 April 2024 Article: 59
Finite Element Discretizations of a Convective Brinkman–Forchheimer Model Under Singular Forcing Alejandro AllendesGilberto CampañaEnrique Otárola OriginalPaper 17 April 2024 Article: 58
Efficient Convex Optimization for Non-convex Non-smooth Image Restoration Xinyi LiJing YuanSanyang Liu OriginalPaper 17 April 2024 Article: 57
A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces Wenrui HaoJonathan D. HauensteinTingting Tang OriginalPaper 16 April 2024 Article: 56
Analysis of an Energy-Dissipating Finite Volume Scheme on Admissible Mesh for the Aggregation-Diffusion Equations Ping ZengGuanyu Zhou OriginalPaper 16 April 2024 Article: 55
An Efficient Inexact Gauss–Seidel-Based Algorithm for Image Restoration with Mixed Noise Tingting WuYue MinTieyong Zeng OriginalPaper Open access 16 April 2024 Article: 54
A New Insight on Augmented Lagrangian Method with Applications in Machine Learning Jianchao BaiLinyuan JiaZheng Peng OriginalPaper 13 April 2024 Article: 53
Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations Xiangyi PengWenlin QiuMahmoud A. Zaky OriginalPaper 12 April 2024 Article: 52
Uniqueness and Numerical Method for Determining a Spatial Source Term in a Time-Fractional Diffusion Wave Equation Yuhua LuoTing Wei OriginalPaper 10 April 2024 Article: 51
Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes Jun HuYizhou LiangTing Lin OriginalPaper 10 April 2024 Article: 50
Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian Wenhui YaoChunxiong Zheng OriginalPaper 09 April 2024 Article: 49
A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations Luigi BrugnanoKevin BurrageFelice Iavernaro OriginalPaper Open access 08 April 2024 Article: 48