A Finite Difference Method for the Variational p-Laplacian Félix del TesoErik Lindgren OriginalPaper Open access 31 December 2021 Article: 67
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation Chaolong JiangJin CuiSonghe Song OriginalPaper 29 December 2021 Article: 66
Tailored Finite Point Method for Diffusion Equations with Interfaces on Distorted Meshes Min TangLina ChangYihong Wang OriginalPaper 29 December 2021 Article: 65
Two Dimensional Analysis and Optimization of Hybrid MDCD-TENO Schemes Raynold TanAndrew Ooi OriginalPaper Open access 29 December 2021 Article: 64
Highly Efficient and Energy Stable Schemes for the 2D/3D Diffuse Interface Model of Two-Phase Magnetohydrodynamics Haiyan SuGuo-Dong Zhang OriginalPaper 26 December 2021 Article: 63
The Operator-Splitting Method for Cahn-Hilliard is Stable Dong LiChaoyu Quan OriginalPaper 24 December 2021 Article: 62
Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations Waixiang CaoQingsong Zou OriginalPaper 23 December 2021 Article: 61
Fast Alternating Direction Multipliers Method by Generalized Krylov Subspaces Alessandro Buccini OriginalPaper 21 December 2021 Article: 60
Tensor Arnoldi–Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure Lothar ReichelUgochukwu O. Ugwu OriginalPaper 21 December 2021 Article: 59
Learning Nonlinear Electrical Impedance Tomography Francesco ColibazziDamiana LazzaroAndrea Samoré OriginalPaper 20 December 2021 Article: 58
Two-Stage Image Denoising via an Enhanced Low-Rank Prior Linwei FanHuiyu LiCaiming Zhang OriginalPaper 18 December 2021 Article: 57
A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries Jianwei ZhouHuiyuan LiZhimin Zhang OriginalPaper 18 December 2021 Article: 56
An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows Lin Fu OriginalPaper 18 December 2021 Article: 55
Parallel-in-Time High-Order Multiderivative IMEX Solvers Jochen SchützDavid C. SealJonas Zeifang OriginalPaper 17 December 2021 Article: 54
On the Efficient Computation of Large Scale Singular Sums with Applications to Long-Range Forces in Crystal Lattices Andreas A. BuchheitTorsten Keßler OriginalPaper Open access 17 December 2021 Article: 53
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density E. Guerrero FernándezM. J. Castro DíazT. Morales de Luna OriginalPaper Open access 17 December 2021 Article: 52
A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange Multiplier Hyun Geun LeeJaemin ShinJune-Yub Lee OriginalPaper 17 December 2021 Article: 51
A Virtual Element Method for the Wave Equation on Curved Edges in Two Dimensions Franco DassiAlessio FumagalliGiuseppe Vacca OriginalPaper 17 December 2021 Article: 50
Newton-Based Methods for Finding the Positive Ground State of Gross-Pitaevskii Equations Pengfei HuangQingzhi Yang OriginalPaper 17 December 2021 Article: 49
A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes S. R. Siva Prasad KochiM. Ramakrishna OriginalPaper 17 December 2021 Article: 48
Unconditionally Optimal Error Analysis of a Linear Euler FEM Scheme for the Navier–Stokes Equations with Mass Diffusion Yuan LiRong An OriginalPaper 16 December 2021 Article: 47
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework Dongmi LuoShiyi LiYibing Chen OriginalPaper 16 December 2021 Article: 46
An Anisotropic Recovery-Based Error Estimator for Adaptive Discontinuous Galerkin Methods Nicola FerroSimona PerottoAndrea Cangiani OriginalPaper 15 December 2021 Article: 45
\(\beta \)-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation Chaobao HuangHu ChenNa An OriginalPaper 12 December 2021 Article: 44
A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model Guangzhi DuLiyun ZuoYuhong Zhang OriginalPaper 10 December 2021 Article: 43
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations Zelalem Arega WorkuDavid W. Zingg OriginalPaper 10 December 2021 Article: 42
On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions A. S. HendyK. Van Bockstal OriginalPaper 10 December 2021 Article: 41
A Class of Positive Semi-discrete Lagrangian–Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws Eduardo AbreuJean FrançoisJohn Pérez OriginalPaper 09 December 2021 Article: 40
NPTC-net: Narrow-Band Parallel Transport Convolutional Neural Networks on Point Clouds Pengfei JinTianhao LaiBin Dong OriginalPaper 08 December 2021 Article: 39
Fast Localization of Eigenfunctions via Smoothed Potentials Jianfeng LuCody MurpheyStefan Steinerberger OriginalPaper 07 December 2021 Article: 38
Correction to: An Approximate Augmented Lagrangian Method for Nonnegative Low-Rank Matrix Approximation Hong ZhuMichael K. NgGuang-Jing Song Correction 07 December 2021 Article: 37
Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations Mohammed Yusuf WaziriKabiru Ahmed OriginalPaper 07 December 2021 Article: 36
Convergent Finite Difference Methods for Fully Nonlinear Elliptic Equations in Three Dimensions Brittany Froese HamfeldtJacob Lesniewski OriginalPaper 06 December 2021 Article: 35
A PML Finite Element Method for Electromagnetic Scattering Problems in a Two-Layer Medium Xue JiangXiaoqi Duan OriginalPaper 06 December 2021 Article: 34
On the Application of Stable Generalized Finite Element Method for Quasilinear Elliptic Two-Point BVP T. AryeniQ. DengV. Ginting OriginalPaper 02 December 2021 Article: 33
Distance Preserving Model Order Reduction of Graph-Laplacians and Cluster Analysis Vladimir DruskinAlexander V. MamonovMikhail Zaslavsky OriginalPaper 30 November 2021 Article: 32
An Accelerated Smoothing Gradient Method for Nonconvex Nonsmooth Minimization in Image Processing Weina WangYunmei Chen OriginalPaper 30 November 2021 Article: 31
Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications Enrico MeliBenedetta MoriniCristina Sgattoni OriginalPaper 30 November 2021 Article: 30
Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems Shuhao CaoLong ChenXuehai Huang OriginalPaper 29 November 2021 Article: 29
Assessment of a Non-Conservative Four-Equation Multiphase System with Phase Transition Paola BacigaluppiJulien CarlierRémi Abgrall OriginalPaper 29 November 2021 Article: 28
Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson–Nernst–Planck Equations Wanwan ZhuYing YangBenzhuo Lu OriginalPaper 28 November 2021 Article: 27
Patch-Based Weighted SCAD Prior for Rician Noise Removal Fang LiYamin RuXiao-Guang Lv OriginalPaper 27 November 2021 Article: 26
A Second Order Energy Dissipative Scheme for Time Fractional L\(^{2}\) Gradient Flows using SAV Approach Dianming HouChuanju Xu OriginalPaper 26 November 2021 Article: 25
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian Yanyan WangZhaopeng HaoRui Du OriginalPaper 26 November 2021 Article: 24
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems Paola F. AntoniettiLorenzo MascottoStefano Zonca OriginalPaper 25 November 2021 Article: 23
Fast and Optimal WENO Schemes for Degenerate Parabolic Conservation Laws R. Diaz-AdameS. JerezH. Carrillo OriginalPaper 24 November 2021 Article: 22
Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations Lingling ZhouYinhua Xia OriginalPaper 24 November 2021 Article: 21
A Parallel-in-Time Implementation of the Numerov Method For Wave Equations Yafei SunShu-Lin WuYingxiang Xu OriginalPaper 24 November 2021 Article: 20
High-Accuracy Time Discretization of Stochastic Fractional Diffusion Equation Xing Liu OriginalPaper 24 November 2021 Article: 19
The Homotopy Method for the Complete Solution of Quadratic Two-parameter Eigenvalue Problems Bo Dong OriginalPaper 24 November 2021 Article: 18
