Search Results

• A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

  Hong Zhang & Paul Andries Zegeling

  2017-10-02

  43884 3251 Pages:935-964

• A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

  Alina Chertock, Armando Coco, Alexander Kurganov & Giovanni Russo

  2018-07-03

  47329 5477 Pages:230-263

• Role of Astrocyte in Cortical Spreading Depression: A Quantitative Model of Neuron-Astrocyte Network

  Wei Yao, Huaxiong Huang & Robert M. Miura

  2018-08-21

  47439 3211 Pages:440-458

• The Finite Point Method for Solving the 2-D 3-T Diffusion Equations

  Guixia Lv & Longjun Shen

  2019-04-04

  45129 3344 Pages:413-433

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng

  2018-08-21

  47966 3524 Pages:1355-1392

• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

  Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang

  2018-09-17

  51239 5839 Pages:86-103

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li & Hong Wang

  2018-09-17

  47038 3319 Pages:531-556

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise & B. T. Cox

  2018-09-17

  46725 3302 Pages:623-634

• Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates.

  Weizhu Bao & Yongyong Cai

  2020-07-31

  47040 3313 Pages:899-965

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang & Rong Zeng

  2020-07-31

  43287 3294 Pages:1259-1278

• Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

  Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song

  2018-12-08

  49760 3564 Pages:1127-1143

• Detonation Simulations with a Fifth-Order TENO Scheme

  Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu

  2019-01-10

  49778 4146 Pages:1357-1393

• A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

  Xin Liu

  2019-01-10

  45832 3893 Pages:1394-1412

• A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

  Lin Fu, Xiangyu Hu & Nikolaus A. Adams

  2019-04-04

  49299 3311 Pages:311-345

• An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions

  Yunchang Seol, Shih-Hsuan Hsu & Ming-Chih Lai

  2018-08-21

  47368 3233 Pages:640-664

• 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

  31843 2797 Pages:1133-1176

• High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  26146 2173 Pages:395-426

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24991 2119 Pages:498-523

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25648 2150 Pages:524-552

• Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

  Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao

  2024-04-10

  24997 2187 Pages:609-632

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  24996 2136 Pages:633-661

• An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality

  Chuwen Ma, Shi Jin

  2024-04-10

  24066 2167 Pages:724-760

• A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  28423 2043 Pages:1120-1154

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35685 1864 Pages:1229-1262

• A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

  Marco Caliari, Simone Zuccher

  2021-03-24

  47843 3262 Pages:1336-1364

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

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

  2024-06-14

  27885 1846 Pages:1352-1386

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4598 461 Pages:538-574