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  • A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

    Chao Zhang, Qibing Li, Zhihui Li
    2026-04-03
    148 29 Pages:1620-1643
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31580 2730 Pages:1043-1078
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo, Yan Xu
    2019-02-25
    50362 5366 Pages:87-113
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42886 3713 Pages:126-155
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45439 3202 Pages:913-946
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    47984 3244 Pages:771-815
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46441 4462 Pages:237-264
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2018-03-27
    37458 3906 Pages:441-480
  • Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

    Minghua Chen, Weihua Deng
    2014-08-03
    42379 4322 Pages:516-540
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    769 155 Pages:1027-1058
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48674 4392 Pages:67-96
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu, Nikolaus A. Adams
    2019-04-04
    49429 3344 Pages:311-345
  • 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
    50087 3273 Pages:1012-1036
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    803 176 Pages:1059-1102
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng, Tiegang Liu
    2019-01-10
    47529 3945 Pages:1413-1445
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjoegreen, Abdellah Hadjadj
    2012-12-01
    42364 4116 Pages:1603-1622
  • 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
    4712 498 Pages:538-574
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    47148 4560 Pages:1-56
  • Simulation of Maxwell's Equations on GPU Using a High-Order Error-Minimized Scheme

    Tony W. H. Sheu, S. Z. Wang, J. H. Li, Matthew R. Smith
    2018-04-09
    43733 3438 Pages:1039-1064
  • Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

    Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan, S. C. Syue
    2018-04-03
    41796 3256 Pages:496-533
  • 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
    28121 2044 Pages:1-29
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48623 3225 Pages:1037-1060
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    45046 3352 Pages:1299-1335
  • 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
    41588 4733 Pages:271-312
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato, Meng-Sing Liou
    2012-12-01
    41018 4155 Pages:1096-1120
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Bjorn Sjogreen, H. C. Yee
    2018-04-11
    41372 3439 Pages:730-744
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen, Jaw-Yen Yang
    2020-07-31
    38370 2975 Pages:1012-1049
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