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

  DOI:Vol. 22, No. 4, pp. 913-934

  43964 3295 pp. 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

  DOI:10.4208/cicp.OA-2016-0133

  47454 5548 pp. 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

  DOI:10.4208/cicp.OA-2016-0262

  47551 3250 pp. 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

  DOI:10.4208/cicp.OA-2017-0090

  47470 3272 pp. 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

  DOI:10.4208/cicp.OA-2019-0006

  62940 3494 pp. 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

  DOI:10.4208/cicp.OA-2017-0080

  51383 5919 pp. 86-103

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  DOI:10.4208/cicp.OA-2018-0001

  47146 3347 pp. 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

  DOI:10.4208/cicp.OA-2017-0192

  46850 3342 pp. 623-634

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

  Weizhu Bao, Yongyong Cai

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.14

  47224 3342 pp. 899-965

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

  Chijie Zhuang, Mengmin Huang, Rong Zeng

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.13

  43382 3317 pp. 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

  DOI:10.4208/cicp.OA-2017-0212

  49851 3603 pp. 1127-1143

• Detonation Simulations with a Fifth-Order TENO Scheme

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

  2019-01-10

  DOI:10.4208/cicp.OA-2018-0008

  49935 4193 pp. 1357-1393

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

  Xin Liu

  2019-01-10

  DOI:10.4208/cicp.OA-2018-0136

  45933 3934 pp. 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

  DOI:10.4208/cicp.OA-2018-0145

  49437 3348 pp. 311-345

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

  Guixia Lv, Longjun Shen

  2019-04-04

  DOI:10.4208/cicp.OA-2017-0223

  45215 3379 pp. 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

  DOI:10.4208/cicp.OA-2017-0032

  48087 3560 pp. 1355-1392

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

  Jiahong Cai, Shengye Wang, Wei Liu

  2024-03-13

  DOI:10.4208/cicp.OA-2023-0164

  26281 2246 pp. 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

  DOI:10.4208/cicp.OA-2023-0143

  25120 2160 pp. 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

  DOI:10.4208/cicp.OA-2023-0034

  25785 2193 pp. 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

  DOI:10.4208/cicp.OA-2023-0002

  25125 2223 pp. 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

  DOI:10.4208/cicp.OA-2023-0038

  25116 2172 pp. 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

  DOI:10.4208/cicp.OA-2023-0133

  24171 2216 pp. 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

  DOI:10.4208/cicp.OA-2023-0162

  28544 2086 pp. 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

  DOI:10.4208/cicp.OA-2023-0274

  35802 1899 pp. 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

  DOI:10.4208/cicp.OA-2023-0201

  28132 1891 pp. 1327-1351

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

  Weiyi Wang, Zhijun Tan

  2021-04-30

  DOI:10.4208/cicp.OA-2020-0137

  49254 4953849 pp. 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

  DOI:10.4208/cicp.OA-2024-0152

  4737 503 pp. 538-574