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

    Jiajun Zhan, Lei Yang, Rui Du, Zixuan Cui
    2024-06-14
    27857 1805 Pages:1327-1351
  • Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

    Taeyoung Kim, Myungjoo Kang
    2025-09-02
    204 76 Pages:420-456
  • Fast Numerical Methods for Stochastic Computations: A Review

    Dongbin Xiu
    2018-04-11
    44058 4513 Pages:242-272
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49349 3127 Pages:1224-1248
  • Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

    Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu & Mengping Zhang
    2019-04-28
    48553 3302 Pages:631-653
  • The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

    Zhennan Zhou & Giovanni Russo
    2019-04-04
    47304 5408 Pages:469-505 Open-access
  • Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

    Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier
    2019-02-25
    46053 5164 Pages:1-34
  • Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

    Tao Tang, Huifang Yuan & Tao Zhou
    2020-07-31
    49313 4810 Pages:1143-1168 Open-access
  • Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods

    Elliott S. Wise, Ben T. Cox & Bradley E. Treeby
    2017-11-02
    42693 3508 Pages:1286-1308
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton
    2018-04-09
    41989 3352 Pages:303-337
  • Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

    Wenju Liu, Yanjiao Zhou, Zhiyue Zhang
    2024-03-13
    26355 2190 Pages:313-368
  • Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

    Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang
    2023-12-11
    34456 2638 Pages:1215-1246
  • Particle Methods for Viscous Flows: Analogies and Differences Between the SPH and DVH Methods

    Andrea Colagrossi, Emanuele Rossi, Salvatore Marrone & David Le Touzé
    2018-04-04
    41000 3182 Pages:660-688
  • Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

    Yi Wang & Shuyu Sun
    2018-04-04
    39914 3194 Pages:405-440
  • A Numerical Comparison Between Quasi-Monte Carlo and Sparse Grid Stochastic Collocation Methods

    Juarez dos Santos Azevedo & Saulo Pomponet Oliveira
    2012-12-01
    40175 3997 Pages:1051-1069
  • Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

    Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao
    2018-04-03
    38614 3095 Pages:469-488
  • High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

    Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang & Yifeng Zhang
    2020-07-31
    40485 4766 Pages:1081-1102 Open-access
  • Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

    Waixiang Cao, Lueling Jia, Zhimin Zhang
    2023-06-06
    37390 2905 Pages:1466-1508
  • Mixed Multiscale Finite Volume Methods for Elliptic Problems in Two-Phase Flow Simulations

    Lijian Jiang & Ilya D. Mishev
    2012-11-01
    39336 4065 Pages:19-47
  • Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

    Jialin Hong & Linghua Kong
    2010-07-01
    39809 3653 Pages:613-630
  • Recent Progress in Numerical Methods for the Poisson-Boltzmann Equation in Biophysical Applications

    B. Z. Lu, Y. C. Zhou, M. J. Holst & J. A. McCammon
    2008-03-01
    45145 5324 Pages:973-1009 Open-access
  • A Numerical Investigation for a Model of the Solid-Gas Phase in a Crystal Growth Apparatus

    Jürgen Geiser
    2008-03-01
    37118 3924 Pages:913-934
  • Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

    J. Hong, S. Jiang, C. Li & H. Liu
    2007-02-01
    38995 3917 Pages:662-683
  • 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
    42828 3639 Pages:222-258
  • Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

    Rui Li, Haijian Yang, Chao Yang
    2021-10-26
    47322 3226 Pages:1499-1528
  • High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

    Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
    2021-07-01
    49358 3217 Pages:666-708
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    45874 4526 Pages:128-147
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