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  • High-Order Spectral Simulation of Graphene Ribbons

    David P. Nicholls
    2019-08-27
    43416 3158 Pages:1575-1596
  • Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

    Walter Boscheri, Matteo Semplice & Michael Dumbser
    2018-10-11
    46588 3514 Pages:311-346
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang
    2020-07-31
    38228 2923 Pages:1012-1049
  • Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

    Martin Kronbichler, Matthias Maier, Ignacio Tomas
    2025-07-11
    5012 494 Pages:74-108
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    23896 2061 Pages:816-858
  • 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
    67668 5387 Pages:123-151
  • 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
  • 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
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36016 2932 Pages:992-1034
  • A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

    Jian Yu, Jan S. Hesthaven
    2020-05-06
    54545 4012 Pages:1309-1343
  • 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
  • Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2012-11-01
    38594 4023 Pages:1503-1524
  • High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen
    2018-04-03
    41450 3254 Pages:273-300
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45191 3103 Pages:913-946
  • 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
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun & Yinhua Xia
    2019-04-04
    46021 3329 Pages:531-557
  • 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
  • Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

    Dongdong He, Huaxiong Huang & Yongji Tan
    2010-07-01
    38632 4235 Pages:1076-1094
  • Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

    Jianxian Qiu, Tiegang Liu & Boo Cheong Khoo
    2018-03-24
    39463 3857 Pages:479-504
  • Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

    Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham
    2020-07-30
    40369 3053 Pages:337-370
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu & Jianxian Qiu
    2012-11-01
    42437 4136 Pages:985-1005
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41484 2933 Pages:1240-1269
  • High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

    Jian Deng, Cristina Anton & Yau Shu Wong
    2014-07-06
    41218 4201 Pages:169-200
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    38863 3109 Pages:1474-1509
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    49083 3851 Pages:94-130
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    44855 3295 Pages:1299-1335
  • Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

    Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu
    2020-11-18
    63767 3554 Pages:2075-2108
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