Search Results

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6598 518 Pages:684-710

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  12320 905 Pages:420-456

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  9415 835 Pages:877-920 Open-access

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  9025 504 Pages:1327-1357

• Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

  Jingwen Wu, Zhijun Tan

  2024-07-29

  24247 1811 Pages:104-132

• Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows

  Yiwen Lin, Shi Jin

  2024-09-06

  24047 1658 Pages:319-347

• A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

  Tian Liang, Lin Fu

  2024-10-09

  16974 1259 Pages:618-650

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17141 1403 Pages:1157-1185

• Role of Fluxes in High-Order Godunov Schemes

  Matania Ben-Artzi

  2026-05-01

  182 37 Pages:1405-1420

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  28003 1887 Pages:1352-1386

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54956 3609 Pages:567-601

• A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

  Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge

  2021-08-10

  48720 3241 Pages:1118-1149

• Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

  Lizhen Chen, Zengyan Zhang, Jia Zhao

  2021-10-26

  46766 3343 Pages:1290-1322

• A Modified Adaptive Improved Mapped WENO Method

  Ruo Li, Wei Zhong

  2021-10-26

  46224 3265 Pages:1545-1588

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49555 4331 Pages:60-93 Open-access

• A New Mapped WENO Scheme Using Order-Preserving Mapping

  Ruo Li, Wei Zhong

  2022-01-27

  43782 3302 Pages:548-592

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45662 3211 Pages:707-738

• High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

  Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong

  2022-03-03

  45443 3203 Pages:913-946

• A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

  Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan

  2022-03-30

  50575 3114 Pages:1215-1241

• A General Improvement in the WENO-Z-Type Schemes

  Ruo Li, Wei Zhong

  2022-05-06

  45152 3283 Pages:1362-1401

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  32035 2863 Pages:1133-1176

• A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates

  Yi Wang, Jiexing Zhang, Guoxi Ni

  2022-09-29

  40934 3298 Pages:779-809

• A Level Set Method for the Simulation of Moving Contact Lines in Three Dimensions

  Quan Zhao, Shixin Xu, Weiqing Ren

  2023-01-24

  38315 3159 Pages:1310-1331

• High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

  Nan Zhang, Zhiping Mao, Tao Xiong

  2023-01-24

  39094 3179 Pages:1474-1509

• SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

  Cheng Peng, Shihao Liu, Zhouwang Yang

  2023-03-13

  39453 3320 Pages:538-567

• Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

  Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng

  2023-04-28

  32313 2962 Pages:692-732

• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang

  2023-05-12

  38188 2996 Pages:962-991