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  • 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
    DOI:10.4208/cicp.220509.200110a
    43311 4869 pp. 947-975 Open Access
  • A Node-Centered Artificial Viscosity Method for Two-Dimensional Lagrangian Hydrodynamics Calculations on a Staggered Grid

    A. Burbeau-Augoula
    2010-08-01
    DOI:10.4208/cicp.030709.161209a
    39370 3837 pp. 877-900
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu, Jue Yan
    2010-08-01
    DOI:10.4208/cicp.010909.011209a
    45067 4562 pp. 541-564
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    DOI:10.4208/cicp.OA-2023-0206
    28531 2751 pp. 160-180
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    DOI:10.4208/cicp.OA-2020-0226
    47792 3143 pp. 1150-1184
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0204
    45935 3465 pp. 532-563
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller, Jonathan S. Pitt
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0114
    45408 3810 pp. 1279-1299
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai, Xiaoping Wu
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0089
    43267 3366 pp. 1065-1089
  • High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

    Weidong Zhao, Tao Zhou, Tao Kong
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0056
    41278 3130 pp. 808-834
  • Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

    Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du
    2018-04-08
    DOI:10.4208/cicp.OA-2016-0033
    42278 4917 pp. 16-39 Open Access
  • On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

    Guilherme Cunha, Stephane Redonnet
    2018-04-04
    DOI:10.4208/cicp.060515.161115b
    39731 3179 pp. 325-352
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournie, Alain Rigal
    2011-09-01
    DOI:10.4208/cicp.230709.080710a
    38272 3893 pp. 994-1019
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen
    2010-08-01
    DOI:10.4208/cicp.080409.051009a
    39619 4626 pp. 159-184
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0232
    24109 2140 pp. 816-858
  • A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

    Xucheng Meng, Guanghui Hu
    2022-08-11
    DOI:10.4208/cicp.OA-2021-0143
    303197 3885 pp. 490-523 Open Access
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    DOI:10.4208/cicp.OA-2022-0030
    303127 3368 pp. 364-400
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0118
    54157 3231 pp. 1083-1113
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0167
    49108 3206 pp. 423-447
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0155
    49146 3229 pp. 1437-1463
  • Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method

    Wensheng Zhang
    2020-06-05
    DOI:10.4208/cicp.OA-2017-0234
    47880 3269 pp. 743-767
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0070
    47135 3261 pp. 855-879
  • A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

    Yueling Jia, Song Jiang, Baolin Tian, Eleuterio F. Toro
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0097
    45371 3466 pp. 309-331
  • WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

    You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang, Shi Shu
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0210
    50095 3282 pp. 1012-1036
  • An Explicit Hermite-Taylor Method for the Schrödinger Equation

    Daniel Appelo, Gunilla Kreiss, Siyang Wang
    2018-04-09
    DOI:10.4208/cicp.080815.211116a
    42285 3367 pp. 1207-1230
  • Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs

    Wenjun Cai, Huai Zhang, Yushun Wang
    2020-07-31
    DOI:10.4208/cicp.scpde14.32s
    40658 3362 pp. 1375-1396
  • Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

    Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu
    2018-04-04
    DOI:10.4208/cicp.070215.200715a
    40876 3205 pp. 944-969
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