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  • High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

    Weidong Zhao, Tao Zhou & Tao Kong
    2018-04-09
    41185 3088 Pages:808-834
  • A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

    Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger
    2023-12-11
    32852 2590 Pages:1306-1331
  • 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
  • Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

    Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li
    2020-05-06
    49755 3666 Pages:1470-1484
  • A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes

    Jian Kang, Xinliang Li
    2020-12-02
    46601 3267 Pages:534-570
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan & Zhijian Wang
    2012-12-01
    40798 4679 Pages:247-260
  • Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

    Irina Ginzburg
    2012-11-01
    39188 4353 Pages:1439-1502
  • Numerical Simulation of Free Surface by an Area-Preserving Level Set Method

    Tony W. H. Sheu & C. H. Yu
    2020-07-31
    39241 4036 Pages:1347-1371
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournié & Alain Rigal
    2011-09-01
    38190 3866 Pages:994-1019
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39365 4215 Pages:668-687
  • A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

    Abdullah Shah, Hong Guo & Li Yuan
    2018-04-11
    41534 3491 Pages:712-729
  • 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
    41066 3595 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
    41853 4518 Pages:100-134
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    22868 1342 Pages:908-942
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li & Hong Wang
    2018-09-17
    47038 3319 Pages:531-556
  • A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

    Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng
    2020-02-23
    47487 3228 Pages:1201-1233
  • Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

    Simin Shekarpaz, Fanhai Zeng, George Karniadakis
    2024-01-31
    29757 2732 Pages:1-37
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31660 2601 Pages:1079-1132
  • 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
  • Lattice Boltzmann Schemes with Relative Velocities

    François Dubois, Tony Fevrier & Benjamin Graille
    2018-04-02
    38895 3093 Pages:1088-1112
  • An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

    Emine Celiker, Ping Lin
    2020-08-27
    47735 2983 Pages:1536-1560
  • Two Uniform Tailored Finite Point Schemes for the Two Dimensional Discrete Ordinates Transport Equations with Boundary and Interface Layers

    Houde Han, Min Tang & Wenjun Ying
    2014-03-05
    42018 4254 Pages:797-826
  • A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

    Hong Luo, Luqing Luo & Robert Nourgaliev
    2012-12-01
    42147 287904 Pages:1495-1519
  • 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
  • A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

    Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li
    2024-01-31
    30212 2641 Pages:239-272
  • A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

    Xinyuan Liu, Tao Xiong, Yang Yang
    2025-09-18
    4374 293 Pages:1515-1551
  • Optimal Error Estimation of the Modified Ghost Fluid Method

    Liang Xu & Tiegang Liu
    2010-08-01
    38722 3939 Pages:403-426
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