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  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    DOI:10.4208/cicp.OA-2024-0152
    4737 503 pp. 538-574
  • Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

    Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin
    2025-07-11
    DOI:10.4208/cicp.OA-2024-0117
    5280 635 pp. 156-180
  • A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

    Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou
    2024-06-14
    DOI:10.4208/cicp.OA-2022-0315
    36826 1981 pp. 1155-1193
  • A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0162
    28544 2086 pp. 1120-1154
  • Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

    Lele Liu, Hong Zhang, Xu Qian, Songhe Song
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0143
    25120 2160 pp. 498-523
  • An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

    Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing
    2024-01-31
    DOI:10.4208/cicp.OA-2023-0015
    28928 2620 pp. 107-138
  • Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

    Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng
    2023-09-04
    DOI:10.4208/cicp.OA-2023-0080
    34301 2739 pp. 418-455
  • A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor

    Haohan Huang, Tian Liang, Lin Fu
    2023-05-12
    DOI:10.4208/cicp.OA-2022-0286
    36272 3053 pp. 1106-1131
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0169
    42988 3752 pp. 189-221
  • A Modified Adaptive Improved Mapped WENO Method

    Ruo Li, Wei Zhong
    2021-10-26
    DOI:10.4208/cicp.OA-2021-0057
    46225 3266 pp. 1545-1588
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0106
    49410 3307 pp. 635-665
  • 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
    DOI:10.4208/cicp.OA-2020-0064
    50093 4593 pp. 97-123
  • Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

    Ameya D. Jagtap, George Em Karniadakis
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0164
    151550 6990 pp. 2002-2041
  • Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

    Stéphane Brull, Corentin Prigent
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0089
    49214 3210 pp. 1274-1304
  • Evaluation of Selected Finite-Difference and Finite-Volume Approaches to Rotational Shallow-Water Flow

    Håvard H. Holm, André R. Brodtkorb, Göran Broström, Kai H. Christensen, Martin L. Sætra
    2020-02-23
    DOI:10.4208/cicp.OA-2019-0033
    47528 3119 pp. 1234-1274
  • A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

    Lin Fu
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0176
    48721 3327 pp. 973-1007
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun, Yinhua Xia
    2019-04-04
    DOI:10.4208/cicp.OA-2018-0067
    46204 3379 pp. 531-557
  • 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
  • Lattice Boltzmann Method for Wave Propagation in Elastic Solids

    J. Surya Narayana Murthy, Praveen Kumar Kolluru, Vishwanathan Kumaran, Santosh Ansumali
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0259
    51976 3200 pp. 1223-1240
  • A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport

    Chang Liu, Kun Xu
    2017-11-02
    DOI:10.4208/cicp.OA-2017-0102
    52575 3692 pp. 1175-1223
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    DOI:10.4208/cicp.OA-2016-0088
    44547 3232 pp. 829-851
  • Constrained Interpolation Profile Conservative Semi-Lagrangian Scheme Based on Third-Order Polynomial Functions and Essentially Non-Oscillatory (CIP-CSL3ENO) Scheme

    Qijie Li, Syazana Omar, Xi Deng, Kensuke Yokoi
    2017-09-02
    DOI:10.4208/cicp.OA-2016-0117
    41735 3317 pp. 765-788
  • Application of the LS-STAG Immersed Boundary/ Cut-Cell Method to Viscoelastic Flow Computations

    Olivier Botella, Yoann Cheny, Farhad Nikfarjam, Marcela Stoica
    2018-04-04
    DOI:10.4208/cicp.080615.010216a
    40212 3193 pp. 870-901
  • 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
  • Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

    Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm, Siddhartha Mishra
    2020-07-31
    DOI:10.4208/cicp.scpde14.43s
    41263 3354 pp. 1111-1140
  • Exponential Runge-Kutta Methods for the Multispecies Boltzmann Equation

    Qin Li, Xu Yang
    2020-07-31
    DOI:10.4208/cicp.010113.160813s
    41368 4026 pp. 996-1011
  • 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
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