Numerical Methods for a Diffusive Class of Nonlocal Operators Gabriela JaramilloLoic CappaneraCory Ward Original Research 14 June 2021 Article: 30
Stability and Conservation Properties of Hermite-Based Approximations of the Vlasov-Poisson System Daniele FunaroGianmarco Manzini OriginalPaper 12 June 2021 Article: 29
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows Saray BustoMichael DumbserKseniya Ivanova OriginalPaper Open access 12 June 2021 Article: 28
Convergence and Supercloseness in a Balanced Norm of Finite Element Methods on Bakhvalov-Type Meshes for Reaction-Diffusion Problems Jin ZhangXiaowei Liu OriginalPaper 10 June 2021 Article: 27
An Efficient Hessian Based Algorithm for Singly Linearly and Box Constrained Least Squares Regression Lanyu LinYong-Jin Liu OriginalPaper 10 June 2021 Article: 26
Optimal Parameters for Third Order Runge–Kutta Exponential Integrators for Convection–Diffusion Problems Bawfeh Kingsley KometaNaveed IqbalAdel A. Attiya OriginalPaper 09 June 2021 Article: 25
Unfitted Nitsche’s Method for Computing Wave Modes in Topological Materials Hailong GuoXu YangYi Zhu OriginalPaper 08 June 2021 Article: 24
Second Order Fully Semi-Lagrangian Discretizations of Advection-Diffusion-Reaction Systems Luca BonaventuraElisa CalzolaRoberto Ferretti OriginalPaper Open access 05 June 2021 Article: 23
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks Moritz GeistPhilipp PetersenGitta Kutyniok OriginalPaper Open access 05 June 2021 Article: 22
The Global Convergence of the Nonlinear Power Method for Mixed-Subordinate Matrix Norms Antoine GautierMatthias HeinFrancesco Tudisco OriginalPaper Open access 05 June 2021 Article: 21
Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach Xin LiYuezheng GongLuming Zhang OriginalPaper 04 June 2021 Article: 20
Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation Nan WangMeng LiChengming Huang OriginalPaper 03 June 2021 Article: 19
A High Order Accurate Finite Difference Method for the Drinfel’d–Sokolov–Wilson Equation Ludvig LindebergTuan DaoKen Mattsson OriginalPaper Open access 03 June 2021 Article: 18
Orthogonal Jacobi Rational Functions and Spectral Methods on the Half Line Dong-qin GuZhong-qing Wang OriginalPaper 01 June 2021 Article: 17
An Optimal Multigrid Algorithm for the Combining \(P_1\)-\(Q_1\) Finite Element Approximations of Interface Problems Based on Local Anisotropic Fitting Meshes Jun HuHua Wang OriginalPaper 01 June 2021 Article: 16
Data-Driven Extrapolation Via Feature Augmentation Based on Variably Scaled Thin Plate Splines Rosanna CampagnaEmma Perracchione OriginalPaper 31 May 2021 Article: 15
Adaptive Virtual Element Method for Optimal Control Problem Governed by General Elliptic Equation Qiming WangZhaojie Zhou OriginalPaper 28 May 2021 Article: 14
A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations Christian Parkinson OriginalPaper 26 May 2021 Article: 13
A Robust High Order Alternative WENO Scheme for the Five-Equation Model Yaguang GuZhen GaoLifeng Wang OriginalPaper 26 May 2021 Article: 12
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps Yong-Liang ZhaoXian-Ming GuAlexander Ostermann OriginalPaper 26 May 2021 Article: 11
Artificial Viscosity Joint Spacetime Multigrid Method for Hamilton–Jacobi–Bellman and Kolmogorov–Fokker–Planck System Arising from Mean Field Games Yangang ChenJustin W. L. Wan OriginalPaper 26 May 2021 Article: 10
A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions Qiwei ShengCheng Wang OriginalPaper 25 May 2021 Article: 9
An Arbitrary-Lagrangian-Eulerian High-Order Gas-Kinetic Scheme for Three-Dimensional Computations Liang PanKun Xu OriginalPaper 24 May 2021 Article: 8
A Method to Solve Hamilton–Jacobi Type Equation on Unstructured Meshes Alexandre ChiapolinoFrançois FraysseRichard Saurel OriginalPaper 23 May 2021 Article: 7
Lie–Trotter Splitting for the Nonlinear Stochastic Manakov System André BergDavid CohenGuillaume Dujardin OriginalPaper 22 May 2021 Article: 6
Temporally Semidiscrete Approximation of a Dirichlet Boundary Control for a Fractional/Normal Evolution Equation with a Final Observation Qin ZhouBinjie Li OriginalPaper 21 May 2021 Article: 5
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian Changtao ShengDuo CaoJie Shen OriginalPaper 21 May 2021 Article: 4
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps David A. KoprivaGregor J. GassnerJan Nordström OriginalPaper Open access 20 May 2021 Article: 3
A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System J. FigueiredoS. Clain OriginalPaper 20 May 2021 Article: 2
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations Yetong LiTengjin ZhaoTongke Wang OriginalPaper 18 May 2021 Article: 1
