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  • 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
    44948 3316 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
    63919 3589 Pages:2075-2108
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    47237 3332 Pages:1530-1574
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43233 5627 Pages:1201-1238
  • High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

    Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li & Yuqiu Gu
    2013-08-05
    43693 4759 Pages:1134-1150 Open-access
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu & Chi-Wang Shu
    2011-10-01
    37356 4007 Pages:474-508
  • On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

    Alexander V. Rodionov
    2023-10-07
    34074 2706 Pages:749-786
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50872 3273 Pages:321-356
  • An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

    Lijie Mei, Changying Liu & Xinyuan Wu
    2017-09-02
    41592 3322 Pages:742-764
  • A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain

    Jan Nordström, Qaisar Abbas, Brittany A. Erickson & Hannes Frenander
    2014-08-03
    42457 4044 Pages:541-570
  • Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

    Haiyang Gao, Z. J. Wang & H. T. Huynh
    2013-08-05
    43683 4128 Pages:1013-1044
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galán del Sastre & Rodolfo Bermejo
    2011-09-01
    38584 3812 Pages:1020-1039
  • Efficient Collocational Approach for Parametric Uncertainty Analysis

    D. Xiu
    2018-03-24
    41575 4449 Pages:293-309
  • Recent Progress in Symplectic Algorithms for Use in Quantum Systems

    X. S. Liu, Y. Y. Qi, J. F. He & P. Z. Ding
    2007-02-01
    39582 4656 Pages:1-53 Open-access
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu & Changhong Hu
    2019-04-28
    46688 3473 Pages:719-748
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38999 3062 Pages:901-930
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38190 3866 Pages:994-1019
  • Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

    Steven Britt, Semyon Tsynkov & Eli Turkel
    2011-03-05
    39156 4029 Pages:520-541
  • Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

    Zhanjing Tao, Zhengfu Xu, Jianxian Qiu
    2026-01-18
    207 43 Pages:1164-1198
  • A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

    Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan
    2022-03-30
    50466 3070 Pages:1215-1241
  • The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications

    Julián T. Becerra-Sagredo, Rolf Jeltsch, Carlos Málaga
    2020-08-27
    50149 3188 Pages:1245-1273
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    50079 3333 Pages:949-975
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu & Nikolaus A. Adams
    2019-04-04
    49299 3311 Pages:311-345
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45832 3893 Pages:1394-1412
  • A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

    Fan Zhang, Hansong Tang, Jian Cheng & Tiegang Liu
    2018-12-08
    48736 3508 Pages:988-1009
  • Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

    Hassan Yousefi, Seyed Shahram Ghorashi & Timon Rabczuk
    2018-04-04
    42308 4700 Pages:86-135
  • Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

    Jun Zhu, Xinghui Zhong, Chi-Wang Shu & Jianxian Qiu
    2018-04-04
    40785 3166 Pages:944-969
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