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  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47369 3809 Pages:154-187
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue & Tiegang Liu
    2019-04-28
    46970 3207 Pages:855-879
  • High-Resolution 3-D Radar Imaging Through Nonuniform Fast Fourier Transform (NUFFT)

    J. Song, Q. H. Liu, K. Kim & W. R. Scott, Jr.
    2018-03-22
    41158 4498 Pages:176-191
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    63 34 Pages:449-478
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38364 3964 Pages:449-478
  • 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
  • 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
    44521 3530 Pages:283-309
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

    Cheng Liu & Changhong Hu
    2017-10-02
    43621 3243 Pages:965-996
  • An Explicit Hermite-Taylor Method for the Schrödinger Equation

    Daniel Appelö, Gunilla Kreiss & Siyang Wang
    2018-04-09
    42145 3330 Pages:1207-1230
  • Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs

    Wenjun Cai, Huai Zhang & Yushun Wang
    2020-07-31
    40513 3304 Pages:1375-1396
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39292 4190 Pages:668-687
  • Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

    Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle
    2010-08-01
    76 35 Pages:947-975 Open-access
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2025-11-07
    2623 90 Pages:119-146
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    207 54 Pages:975-1007
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28284 2560 Pages:160-180
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41484 2933 Pages:1240-1269
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40289 3292 Pages:477-510
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47581 3080 Pages:1150-1184
  • 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
    49667 3533 Pages:1127-1143
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38930 3038 Pages:901-930
  • Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

    Wenxuan Guo, Qiang Zhang
    2025-11-07
    2590 96 Pages:78-118
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    53936 3159 Pages:1083-1113
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    48872 3141 Pages:423-447
  • Mortar DG Method with Staggered Hybridization for Rayleigh Waves Simulation

    Jie Du, Eric Chung
    2020-11-26
    46545 4275 Pages:111-127
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    48957 3169 Pages:1437-1463
  • An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

    Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu
    2020-02-23
    50843 3227 Pages:1140-1173
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