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

  43964 3294 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

  47454 5548 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

  47549 3247 Pages:440-458

• 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

  47470 3269 Pages:640-664

• High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

  Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang

  2019-07-02

  62936 3492 Pages:947-972

• 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

  51381 5915 Pages:86-103

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  47140 3346 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

  46847 3342 Pages:623-634

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

  Weizhu Bao, Yongyong Cai

  2020-07-31

  47222 3342 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

  43381 3317 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

  49850 3603 Pages:1127-1143

• Detonation Simulations with a Fifth-Order TENO Scheme

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

  2019-01-10

  49933 4189 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

  45932 3933 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

  49436 3347 Pages:311-345

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

  Guixia Lv, Longjun Shen

  2019-04-04

  45215 3378 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

  48084 3560 Pages:1355-1392

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

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  26281 2246 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

  25116 2160 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

  25785 2192 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

  25122 2223 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

  25108 2169 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

  24169 2216 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

  28543 2085 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

  35800 1898 Pages:1229-1262

• Towards Preserving Geometric Properties of Landau-Lifshitz-Gilbert Equation Using Multistep Methods

  Jiajun Zhan, Lei Yang, Rui Du, Zixuan Cui

  2024-06-14

  28130 1890 Pages:1327-1351

• A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49254 4953848 Pages:227-254

• 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

  4717 502 Pages:538-574