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  • On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

    Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0049
    43060 3778 pp. 222-258
  • A Time Variable Filter Approach for the Fluid-Fluid Interaction

    Wei Li, Pengzhan Huang, Yinnian He
    2025-05-29
    DOI:10.4208/cicp.OA-2024-0108
    9078 557 pp. 1417-1451
  • Inverse Obstacle Scattering in an Unbounded Structure

    Gang Bao, Huayan Liu, Peijun Li, Lei Zhang
    2019-08-27
    DOI:10.4208/cicp.2019.js60.01
    49129 3718 pp. 1274-1306
  • Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

    Yixiang Dai, Yunzhang Li, Jing Zhang
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0296
    785 122 pp. 1299-1331
  • Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles

    J. Spendlove, X. Xu, T. Schenkel, J. P. Gunn, I. Halliday
    2023-02-20
    DOI:10.4208/cicp.OA-2022-0042
    44729 3647 pp. 283-309
  • A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

    D. H. Yang, N. Wang, E. Liu
    2012-12-01
    DOI:10.4208/cicp.010111.230911a
    40551 4326 pp. 1006-1032
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu, Chi-Wang Shu
    2011-10-01
    DOI:10.4208/cicp.300410.300710a
    37447 4047 pp. 474-508
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    DOI:10.4208/cicp.OA-2021-0134
    43692 3313 pp. 516-547
  • Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

    Zijian Liu, Songze Chen, Shiyi Chen
    2025-08-08
    DOI:10.4208/cicp.OA-2023-0187
    4682 515 pp. 375-403
  • Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

    Stéphane Brull, Corentin Prigent
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0089
    49214 3210 pp. 1274-1304
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0100
    49556 3195 pp. 1224-1248
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0204
    45935 3465 pp. 532-563
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo, Yan Xu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0074
    67902 5550 pp. 123-151
  • Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

    Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
    2019-10-31
    DOI:10.4208/cicp.220515.031016a
    42336 4771 pp. 202-227
  • Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

    Yinhua Xia, Yan Xu, Chi-Wang Shu
    2018-04-11
    42528 3654 pp. 821-835
  • An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

    Hongfei Zhan, Ting Wang, Guanghui Hu
    2025-04-27
    DOI:10.4208/cicp.OA-2024-0053
    9430 588 pp. 921-941
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0037
    49446 3276 pp. 967-998
  • The Discrete Orthogonal Polynomial Least Squares Method for Approximation and Solving Partial Differential Equations

    Anne Gelb, Rodrigo B. Platte, W. Steven Rosenthal
    2008-03-01
    39868 4402 pp. 734-758
  • Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations

    E. Burman, B. Stamm
    2018-04-11
    41904 3765 pp. 498-514
  • Local Discontinuous-Galerkin Schemes for Model Problems in Phase Transition Theory

    Jenny Haink, Christian Rohde
    2008-04-01
    38272 3801 pp. 860-893
  • A Novel High-Resolution TENO Scheme with Adaptive Artificial Anti-Diffusion

    Velmani Murugesan, Manoj T. Nair
    2026-03-16
    DOI:10.4208/cicp.OA-2025-0113
    443 59 pp. 88-128
  • Steady-State Simulation of Euler Equations by the Discontinuous Galerkin Method with the Jump Filter

    Lei Wei, Yinhua Xia
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0091
    794 156 pp. 1103-1136
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    DOI:10.4208/cicp.OA-2023-0348
    19658 1518 pp. 451-484
  • Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows

    Yan Wang, Chang Shu, Chiang Juay Teo, Jie Wu, Liming Yang
    2018-04-03
    DOI:10.4208/cicp.300514.160115a
    40043 3171 pp. 593-620
  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina, Timothy Warburton
    2018-04-03
    DOI:10.4208/cicp.070114.271114a
    42678 4694 pp. 37-64
  • A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

    Jingrun Chen, Shi Jin, Liyao Lyu
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0144
    47297 3061 pp. 1296-1316
  • A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

    Hong-Lin Liao, William McLean, Jiwei Zhang
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0124
    54958 3612 pp. 567-601
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