Dispersion in Shallow Moment Equations Ullika ScholzJulia KowalskiManuel Torrilhon Original Paper Open access 24 December 2023
Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods Ben BurnettSigal GottliebZachary J. Grant Original Paper 21 December 2023 Pages: 705 - 738
A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids A. M. Vargas Original Paper 16 December 2023
A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems Saray BustoMichael Dumbser Original Paper Open access 15 December 2023
Conforming P3 Divergence-Free Finite Elements for the Stokes Equations on Subquadrilateral Triangular Meshes Shangyou Zhang Original Paper 14 December 2023
Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes Xiu YeShangyou Zhang Original Paper 13 December 2023
Nearest Neighbor Sampling of Point Sets Using Rays Liangchen LiuLouis LyRichard Tsai Original Paper 11 December 2023
The L2-1σ/LDG Method for the Caputo Diffusion Equation with a Variable Coefficient Qiaoqiao DaiDongxia Li Original Paper 06 December 2023
Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases Tommaso RuggeriShigeru Taniguchi Original Paper Open access 02 December 2023
High-Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two-Fluid Flows Laura Río-MartínMichael Dumbser Original Paper Open access 30 November 2023
Modulus-Based Matrix Splitting Iteration Method for Horizontal Quasi-complementarity Problem Lu-Xin WangQin-Qin ShenYang Cao Original Paper 23 November 2023
Projection-Based Dimensional Reduction of Adaptively Refined Nonlinear Models Clayton LittleCharbel Farhat Original Paper 22 November 2023
Approximation Properties of Vectorial Exponential Functions Christophe BuetBruno DespresGuillaume Morel Original Paper 15 November 2023
An Effective Model for the Simulation of Transpiration Cooling Siegfried MüllerMichael Rom Original Paper Open access 15 November 2023
A Central Scheme for Two Coupled Hyperbolic Systems Michael HertyNiklas KolbeSiegfried Müller Original Paper Open access 13 November 2023
Failure-Informed Adaptive Sampling for PINNs, Part II: Combining with Re-sampling and Subset Simulation Zhiwei GaoTao TangTao Zhou Original Paper 13 November 2023
Correction: Exponential Time Differencing Method for a Reaction-Diffusion System with Free Boundary Shuang LiuXinfeng Liu Correction 08 November 2023
Beyond Strang: a Practical Assessment of Some Second-Order 3-Splitting Methods Raymond J. SpiteriArash TavassoliAndrei Smolyakov Original Paper 07 November 2023
An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD Walter BoscheriRaphaël LoubèrePierre-Henri Maire Original Paper 06 November 2023
Reflected Stochastic Burgers Equation with Jumps Hongchao QianJun PengYewei Gui Original Paper 18 October 2023
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces Young Kyu LeeShingyu Leung Original Paper 16 October 2023
Convergence of Hyperbolic Neural Networks Under Riemannian Stochastic Gradient Descent Wes WhitingBao WangJack Xin Original Paper Open access 05 October 2023
Asymmetry and Condition Number of an Elliptic-Parabolic System for Biological Network Formation Clarissa AstutoDaniele BoffiGiovanni Russo Original Paper 29 September 2023
Eigenvalues and Jordan Forms of Dual Complex Matrices Liqun QiChunfeng Cui Original Paper 28 September 2023
An Order Reduction Method for the Nonlinear Caputo-Hadamard Fractional Diffusion-Wave Model Jieying ZhangCaixia OuSeakweng Vong Original Paper 28 September 2023
A Note on Chebyshev Accelerated PMHSS Iteration Method for Block Two-by-Two Linear Systems Zhao-Zheng LiangJun-Lin TianHong-Yi Wan Original Paper 20 September 2023
Numerical Approach for Solving Two-Dimensional Time-Fractional Fisher Equation via HABC-N Method Ren LiuLifei Wu Original Paper 15 September 2023
Unconditionally Superconvergence Error Analysis of an Energy-Stable and Linearized Galerkin Finite Element Method for Nonlinear Wave Equations Huaijun Yang Original Paper 15 September 2023
A New Efficient Explicit Deferred Correction Framework: Analysis and Applications to Hyperbolic PDEs and Adaptivity Lorenzo MicalizziDavide Torlo Original Paper Open access 12 September 2023
Efficient Iterative Arbitrary High-Order Methods: an Adaptive Bridge Between Low and High Order Lorenzo MicalizziDavide TorloWalter Boscheri Original Paper Open access 11 September 2023
Hyperbolic Conservation Laws, Integral Balance Laws and Regularity of Fluxes Matania Ben-ArtziJiequan Li Original Paper 04 September 2023
Piecewise Acoustic Source Imaging with Unknown Speed of Sound Using a Level-Set Method Guanghui HuangJianliang QianYang Yang Original Paper 29 August 2023
On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection-Diffusion Equations Sigrun Ortleb Original Paper Open access 29 August 2023
Meta-Auto-Decoder: a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations Zhanhong YeXiang HuangBin Dong Original Paper 14 August 2023
A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems Hua ZhengXiaoping LuSeakweng Vong Original Paper 11 August 2023
An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change Zhouteng YeCody EstebeM. Yousuff Hussaini Original Paper 11 August 2023
Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes Naren VohraKonstantin LipnikovSvetlana Tokareva Original Paper 10 August 2023
An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic Rémi AbgrallFatemeh Nassajian Mojarrad Original Paper Open access 01 August 2023
A Blade Altering Toolbox for Automating Rotor Design Optimization Akiva WernickJen-Ping Chen Original Paper Open access 31 July 2023 Pages: 688 - 704
The Hermite-Taylor Correction Function Method for Maxwell’s Equations Yann-Meing LawDaniel Appelö Original Paper 31 July 2023
Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation Joseph HunterZheng SunYulong Xing Original Paper 25 July 2023 Pages: 658 - 687
Batch Active Learning for Multispectral and Hyperspectral Image Segmentation Using Similarity Graphs Bohan ChenKevin MillerJon Schwenk Review Article Open access 20 July 2023
On the Order of Accuracy of Edge-Based Schemes: a Peterson-Type Counter-Example Pavel BakhvalovMikhail Surnachev Original Paper 17 July 2023
Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws Feng ZhengJianxian Qiu Original Paper 11 July 2023 Pages: 605 - 624
Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows Ruihan GuoYinhua Xia Original Paper 10 July 2023 Pages: 625 - 657
A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics Wei GuoJannatul Ferdous EmaJing-Mei Qiu Original Paper 10 July 2023 Pages: 550 - 575
A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces Baiying DongZhilin LiJuan Ruiz-Álvarez Original Paper 10 July 2023
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products Dinshaw S. BalsaraDeepak BhoriyaHarish Kumar Original Paper 04 July 2023
Discovery of Governing Equations with Recursive Deep Neural Networks Jarrod MauJia Zhao Original Paper 03 July 2023
