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  • Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

    Minghua Chen & Weihua Deng
    2014-08-03
    42270 4269 Pages:516-540
  • On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

    Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause & Nikolaus A. Adams
    2018-08-21
    53969 3235 Pages:846-876
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng & Chi-Wang Shu
    2008-11-05
    39214 4562 Pages:1008-1024
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36140 2956 Pages:992-1034
  • 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
    49760 3564 Pages:1127-1143
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    27986 1964 Pages:1-29
  • Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

    Yalchin Efendiev, Bangti Jin, Michael Presho & Xiaosi Tan
    2018-04-02
    42810 4695 Pages:259-286
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti
    2014-08-05
    41123 4144 Pages:301-327
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang & Chi-Wang Shu
    2011-03-05
    39890 4279 Pages:807-827
  • High-Accuracy Polishing Technique Using Dwell Time Adjustment

    S. Satake, K. Yamamoto & S. Igarashi
    2006-01-01
    38718 3882 Pages:701-715
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46342 3299 Pages:768-784
  • Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

    Chaoqun Liu, Ping Lu, Maria Oliveira & Peng Xie
    2012-11-01
    43918 3066965 Pages:1022-1042
  • Two-Size Moment Multi-Fluid Model: A Robust and High-Fidelity Description of Polydisperse Moderately Dense Evaporating Sprays

    Frédérique Laurent, Alaric Sibra & François Doisneau
    2018-04-04
    39890 3184 Pages:902-943
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu & Huazhong Tang
    2020-07-31
    41442 3944 Pages:911-943
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    19548 1478 Pages:451-484
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov & Jerry Nolen
    2010-08-01
    39511 4569 Pages:159-184
  • The Effect of Global Smoothness on the Accuracy of Treecodes

    Henry A. Boateng, Svetlana Tlupova
    2023-01-24
    36626 2978 Pages:1332-1360
  • Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations

    Tao Tang & Xiang Xu
    2018-04-11
    41737 3634 Pages:779-792
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    49032 3288 Pages:1321-1351
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    42307 3267 Pages:1231-1257
  • 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
    6319 430 Pages:729-765
  • 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
    9260 555 Pages:1120-1156
  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu & Chi-Wang Shu
    2011-10-01
    40760 4280 Pages:979-1000
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31138 2679 Pages:955-992
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42277 3118 Pages:1217-1239
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42259 3711 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
    49202 3913 Pages:94-130
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