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  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti
    2014-08-05
    41063 4125 Pages:301-327
  • High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

    Jiahong Cai, Shengye Wang, Wei Liu
    2024-03-13
    26048 2140 Pages:395-426
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42686 3625 Pages:126-155
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galán del Sastre & Rodolfo Bermejo
    2011-09-01
    38516 3790 Pages:1020-1039
  • Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect

    Qiwei Feng, Bin Han, Michelle Michelle
    2023-10-07
    35722 2736 Pages:672-712
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang & Yinhua Xia
    2018-10-11
    45665 3407 Pages:532-563
  • 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
  • High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

    Jian Deng, Cristina Anton & Yau Shu Wong
    2014-07-06
    41218 4201 Pages:169-200
  • Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

    Steven Britt, Semyon Tsynkov & Eli Turkel
    2011-03-05
    39104 4005 Pages:520-541
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47308 3891 Pages:1413-1445
  • 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
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43159 5609 Pages:1201-1238
  • High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

    Guanlan Huang, Sebastiano Boscarino, Tao Xiong
    2024-06-14
    35549 1812 Pages:1229-1262
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    302871 3313 Pages:364-400
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu
    2019-01-10
    49633 4111 Pages:1357-1393
  • Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients

    Guy Baruch, Gadi Fibich, Semyon Tsynkov & Eli Turkel
    2018-04-11
    43248 3866 Pages:442-455
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    5837 370 Pages:729-765
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38133 3846 Pages:994-1019
  • 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
    41396 4639 Pages:271-312
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu & Chi-Wang Shu
    2010-07-01
    42047 4741 Pages:1-46 Open-access
  • 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
  • High Order Schemes on Three-Dimensional General Polyhedral Meshes — Application to the Level Set Method

    Thibault Pringuey & R. Stewart Cant
    2012-12-01
    41074 4642 Pages:1-41
  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu & Chi-Wang Shu
    2011-10-01
    40690 4245 Pages:979-1000
  • 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
    47125 3309 Pages:1530-1574
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50135 5247 Pages:87-113
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    3493 311 Pages:923-952
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