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  • 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
    39817 3370 Pages:1264-1281
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24997 2187 Pages:609-632
  • A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

    Hong Zhang & Paul Andries Zegeling
    2017-10-02
    43884 3251 Pages:935-964
  • Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty

    Zhen Gao & Jan S. Hesthaven
    2011-10-01
    38124 3983 Pages:253-278
  • Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

    Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan & S. C. Syue
    2018-04-03
    41711 3221 Pages:496-533
  • 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
  • Nearly Singular Integrals in 3D Stokes Flow

    Svetlana Tlupova & J. Thomas Beale
    2013-11-05
    40437 3930 Pages:1207-1227
  • 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
    43201 4791 Pages:947-975 Open-access
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31433 2689 Pages:1043-1078
  • 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
  • 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
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47404 3915 Pages:1413-1445
  • An XFEM Implementation of a Projection Method for 3D Incompressible Two-Fluid Flows with Arbitrary High Contrasts in Material Properties

    Daniela Garajeu & Marc Medale
    2018-09-17
    45775 3219 Pages:593-622
  • 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
    41476 4678 Pages:271-312
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan & Zhijian Wang
    2012-12-01
    40798 4679 Pages:247-260
  • A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

    Po-Wen Hsieh, Yintzer Shih & Suh-Yuh Yang
    2011-10-01
    39267 4366 Pages:161-182
  • 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
  • A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

    Friedemann Klass, Alessandro Gabbana, Andreas Bartel
    2023-02-20
    46808 3938 Pages:101-117
  • A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

    Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi
    2022-08-11
    302167 3343 Pages:450-489
  • A Deep Learning Modeling Framework to Capture Mixing Patterns in Reactive-Transport Systems

    N. V. Jagtap, M. K. Mudunuru, K. B. Nakshatrala
    2021-12-06
    49367 4042 Pages:188-223
  • Construction of a Minimum Energy Path for the VT Flash Model by the String Method Coupled with the Exponential Time Differencing Scheme

    Yuze Zhang, Yiteng Li, Lei Zhang, Shuyu Sun
    2021-10-26
    46623 3149 Pages:1529-1544
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47597 3210 Pages:1185-1215
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    49968 4514 Pages:97-123
  • 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
    50102 3397 Pages:1550-1589
  • High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

    Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang
    2019-07-02
    62771 3451 Pages:947-972
  • Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

    Weizhu Bao, Qinglin Tang, Yong Zhang
    2020-07-31
    41836 3228 Pages:1141-1166
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara & Huijing Du
    2018-04-04
    41070 3176 Pages:841-880
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