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  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50240 5305 Pages:87-113
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    3651 344 Pages:923-952
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45832 3893 Pages:1394-1412
  • Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

    T. V. S. Sekhar, B. Hema Sundar Raju & Y. V. S. S. Sanyasiraju
    2012-11-01
    39595 4341 Pages:99-113
  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser & Eleuterio F. Toro
    2011-10-01
    39532 4331 Pages:635-671
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu & Changhong Hu
    2019-04-28
    46688 3473 Pages:719-748
  • Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

    Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier
    2019-02-25
    46143 5220 Pages:1-34
  • Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems

    Peng Wang, Jialin Hong & Dongsheng Xu
    2018-04-08
    41385 4600 Pages:237-270
  • Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

    Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du
    2018-04-08
    42189 4855 Pages:16-39 Open-access
  • A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids

    Yilang Liu, Weiwei Zhang & Chunna Li
    2017-11-02
    42912 3655 Pages:1385-1412
  • High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

    Guanlan Huang, Yulong Xing, Tao Xiong
    2025-09-05
    3664 332 Pages:1130-1172
  • Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

    Jun Zhu & Jianxian Qiu
    2010-08-01
    40013 3959 Pages:1242-1263
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28422 2652 Pages:160-180
  • Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation

    Shuang Tan, Wenjun Sun, Kun Xu, Junxia Wei, Guoxi Ni
    2020-07-21
    45634 3052 Pages:1189-1218
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2026-01-15
    2956 188 Pages:119-146
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton
    2018-04-09
    42040 3385 Pages:303-337
  • High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

    Cyril Agut, Julien Diaz & Abdelaâziz Ezziani
    2020-07-31
    39069 3971 Pages:691-708
  • A Technique for High-Order Treatment of Diffusion Terms in Semi-Lagrangian Schemes

    Roberto Ferretti
    2010-08-01
    38407 4114 Pages:445-470
  • Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

    Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand
    2022-03-03
    45422 3158 Pages:816-868
  • Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

    Haiyang Gao, Z. J. Wang & H. T. Huynh
    2013-08-05
    43683 4128 Pages:1013-1044
  • Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

    Jan Nordström & Sofia Eriksson
    2010-08-01
    40991 4066 Pages:1111-1138
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