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  • Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

    Sigal Gottlieb, Jae-Hun Jung
    2018-04-11
    41166 3625 Pages:600-619
  • A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

    Y. Xing & C.-W. Shu
    2018-03-22
    41947 4588 Pages:100-134
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    303125 3367 Pages:364-400
  • A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

    Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent
    2020-05-06
    50218 3431 Pages:1550-1589
  • Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

    N. Anders Petersson, Bjoern Sjoegreen
    2014-10-08
    42671 4134 Pages:913-955
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller, Jonathan S. Pitt
    2018-09-17
    45402 3809 Pages:1279-1299
  • High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

    Cheng Wang, Jianxu Ding, Sirui Tan, Wenhu Han
    2020-07-30
    39888 3386 Pages:1264-1281
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36253 2994 Pages:992-1034
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42373 3772 Pages:259-298
  • 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
    49319 3999 Pages:94-130
  • High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

    Walter Boscheri, Raphaël Loubère
    2018-04-08
    41589 4734 Pages:271-312
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan, Zhijian Wang
    2012-12-01
    40874 4740 Pages:247-260
  • Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

    Chaoqun Liu, Ping Lu, Maria Oliveira, Peng Xie
    2012-11-01
    43997 3066998 Pages:1022-1042
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai, Xiaoping Wu
    2018-04-09
    43262 3364 Pages:1065-1089
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen
    2010-08-01
    39619 4621 Pages:159-184
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49334 3069 Pages:1609-1638
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    45501 3772 Pages:725-752
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50871 3663 Pages:1335-1364
  • Subspace Trajectory Piecewise-Linear Model Order Reduction for Nonlinear Circuits

    Xiaoda Pan, Hengliang Zhu, Fan Yang, Xuan Zeng
    2013-09-05
    39330 3948 Pages:639-663
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekstrom, Jan Nordstrom
    2018-04-11
    41951 3615 Pages:456-468
  • RLC Equivalent Circuit Synthesis Method for Structure-Preserved Reduced-Order Model of Interconnect in VLSI

    Fan Yang, Xuan Zeng, Yangfeng Su, Dian Zhou
    2018-03-24
    39762 4107 Pages:376-396
  • High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

    Weidong Zhao, Tao Zhou, Tao Kong
    2018-04-09
    41274 3130 Pages:808-834
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    9392 598 Pages:1120-1156
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournie, Alain Rigal
    2011-09-01
    38270 3892 Pages:994-1019
  • 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
    45050 3352 Pages:1299-1335
  • 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
    47367 3377 Pages:1530-1574
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    23007 1393 Pages:908-942
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