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
A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domains Hongyi ZhuChuanju Xu OriginalPaper 08 April 2024 Article: 47
Asymptotically Compatible Energy and Dissipation Law of the Nonuniform L2-\(1_{\sigma }\) Scheme for Time Fractional Allen–Cahn Model Hong-lin LiaoXiaohan ZhuHong Sun OriginalPaper 08 April 2024 Article: 46
The Order-p Tensor Linear Complementarity Problem for Images Deblurring Mengxiao FanJicheng Li Review 06 April 2024 Article: 45
A Quadratic Discontinuous Finite Volume Element Scheme for Stokes Problems Yuzhi LouHongxing Rui OriginalPaper 05 April 2024 Article: 44
Fast High-Order Compact Finite Difference Methods Based on the Averaged L1 Formula for a Time-Fractional Mobile-Immobile Diffusion Problem Zi-Yun ZhengYuan-Ming Wang OriginalPaper 04 April 2024 Article: 43
On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows Vladislav CherepanovJian-Guo LiuZhongmin Qian OriginalPaper 01 April 2024 Article: 42
A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks Nicolas L. GuidottiJuan A. AcebrónJosé Monteiro OriginalPaper Open access 01 April 2024 Article: 41
High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws Zhanjing TaoJinming ZhangJianxian Qiu OriginalPaper 01 April 2024 Article: 40
A Uniform and Pressure-Robust Enriched Galerkin Method for the Brinkman Equations Seulip LeeLin Mu OriginalPaper 28 March 2024 Article: 39
An Iterative Method for the Inverse Eddy Current Problem with Total Variation Regularization Junqing ChenZehao Long OriginalPaper 27 March 2024 Article: 38
A New Complex Structure-Preserving Method for QSVD Cui-E YuXin LiuYang Zhang OriginalPaper 25 March 2024 Article: 37
High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers Wei ChenKailiang WuTao Xiong OriginalPaper 23 March 2024 Article: 36
Solving Minimal Residual Methods in \(W^{-1,p'}\) with Large Exponents p Johannes Storn OriginalPaper Open access 21 March 2024 Article: 35
A Low-Rank Solver for Parameter Estimation and Uncertainty Quantification in Time-Dependent Systems of Partial Differential Equations Sébastien RiffaudMiguel A. FernándezDamiano Lombardi OriginalPaper 21 March 2024 Article: 34
A Weighted Hybridizable Discontinuous Galerkin Method for Drift-Diffusion Problems Wenyu LeiStefano PianiLuca Heltai OriginalPaper 21 March 2024 Article: 33
Sorted \(L_1/L_2\) Minimization for Sparse Signal Recovery Chao WangMing YanJunjie Yu OriginalPaper 21 March 2024 Article: 32
Admissibility Preserving Subcell Limiter for Lax–Wendroff Flux Reconstruction Arpit BabbarSudarshan Kumar KenettinkaraPraveen Chandrashekar OriginalPaper 20 March 2024 Article: 31
A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold Xin LiuNachuan XiaoYa-xiang Yuan OriginalPaper 20 March 2024 Article: 30
A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints Shawn W. Walker OriginalPaper 20 March 2024 Article: 29
Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations Daniel DoehringGregor J. GassnerManuel Torrilhon OriginalPaper Open access 16 March 2024 Article: 28
A New Positivity-Preserving Technique for High-Order Schemes to Solve Extreme Problems of Euler Equations on Structured Meshes Yan TanQiang ZhangJun Zhu OriginalPaper 15 March 2024 Article: 27
A Second-Order Exponential Time Differencing Multi-step Energy Stable Scheme for Swift–Hohenberg Equation with Quadratic–Cubic Nonlinear Term Ming CuiYiyi NiuZhen Xu OriginalPaper 15 March 2024 Article: 26
Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems J. P. ThieleT. Wick OriginalPaper Open access 15 March 2024 Article: 25
An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with \(L^{1-2}\)-Control Cost Yu ZhangXiaoliang SongMingcai Ding OriginalPaper 14 March 2024 Article: 24
The Nonconforming Virtual Element Method with Curved Edges Lourenço Beirão da VeigaYi LiuAlessandro Russo OriginalPaper 11 March 2024 Article: 23
A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces Elena ZapponAndrea ManzoniAlfio Quarteroni OriginalPaper 11 March 2024 Article: 22
