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  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0061
    31586 2735 pp. 1043-1078
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2026-02-15
    DOI:10.4208/cicp.OA-2025-0124
    4088 200 pp. 387-416
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    DOI:10.4208/cicp.OA-2024-0114
    9027 505 pp. 1327-1357
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao, Tao Zhou
    2020-07-30
    DOI:10.4208/cicp.240515.280815a
    39424 3389 pp. 1482-1503
  • 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
    DOI:10.4208/cicp.OA-2024-0023
    28125 2049 pp. 1-29
  • Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

    Walter Boscheri, Matteo Semplice, Michael Dumbser
    2018-10-11
    DOI:10.4208/cicp.OA-2018-0069
    46929 3588 pp. 311-346
  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0289
    35549 2753 pp. 938-972
  • 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
  • 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
    DOI:10.4208/cicp.291109.080410s
    39979 4301 pp. 807-827
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    DOI:10.4208/cicp.OA-2023-0153
    15739 1275 pp. 781-820
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao, Guanghui Hu
    2017-10-02
    DOI:10.4208/cicp.OA-2016-0200
    46553 3368 pp. 1049-1068
  • 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
  • High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

    Jian Deng, Cristina Anton, Yau Shu Wong
    2014-07-06
    DOI:10.4208/cicp.311012.191113a
    41428 4335 pp. 169-200
  • Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro, Knut Waagan
    2018-03-27
    DOI:10.4208/cicp.171109.070510a
    38050 3803 pp. 324-362
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Bjoern Sjoegreen, H. C. Yee, William D. Henshaw
    2018-03-27
    DOI:10.4208/cicp.240811.090312a
    38851 3968 pp. 583-602
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0136
    45933 3934 pp. 1394-1412
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang, Xiaoying Deng
    2010-07-01
    DOI:10.4208/cicp.2009.09.088
    39090 4438 pp. 1027-1048
  • 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
    DOI:10.4208/cicp.OA-2017-0212
    49851 3603 pp. 1127-1143
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri, Michael Dumbser
    2013-11-05
    DOI:10.4208/cicp.181012.010313a
    40600 3991 pp. 1174-1206
  • High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

    Jiahong Cai, Shengye Wang, Wei Liu
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0164
    26281 2246 pp. 395-426
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0270
    47456 3098 pp. 1270-1331
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    DOI:10.4208/cicp.OA-2019-0197
    46446 4465 pp. 237-264
  • 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
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38521 4034 pp. 449-478
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0130
    797 159 pp. 1027-1058
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu, Jun Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0008
    49935 4193 pp. 1357-1393
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo, Yan Xu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0074
    67902 5550 pp. 123-151
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