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  • Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect

    Qiwei Feng, Bin Han, Michelle Michelle
    2023-10-07
    35917 2802 Pages:672-712
  • A New Mapped WENO Scheme Using Order-Preserving Mapping

    Ruo Li, Wei Zhong
    2022-01-27
    43683 3265 Pages:548-592
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    45960 4614 Pages:128-147
  • 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
    24991 2119 Pages:498-523
  • 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
    45301 3773 Pages:1279-1299
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24997 2187 Pages:609-632
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    6319 430 Pages:729-765
  • 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
    41711 3221 Pages:496-533
  • 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
    37957 3775 Pages:324-362
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31138 2679 Pages:955-992
  • 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
    41476 4678 Pages:271-312
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40495 3961 Pages:1174-1206
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    26820 1732 Pages:30-70
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan & Zhijian Wang
    2012-12-01
    40798 4679 Pages:247-260
  • Numerical Regularized Moment Method for High Mach Number Flow

    Zhenning Cai, Ruo Li & Yanli Wang
    2012-11-01
    42384 4062 Pages:1415-1438
  • A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

    Lin Fu
    2019-07-02
    48541 3257 Pages:973-1007
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu & Chi-Wang Shu
    2010-07-01
    42128 4813 Pages:1-46 Open-access
  • 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
    43178 3318 Pages:1065-1089
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    19548 1478 Pages:451-484
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov & Jerry Nolen
    2010-08-01
    39511 4569 Pages:159-184
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49232 3041 Pages:1609-1638
  • A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

    Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent
    2020-05-06
    50102 3397 Pages:1550-1589
  • 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
    50716 3598 Pages:1335-1364
  • Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients

    Guy Baruch, Gadi Fibich, Semyon Tsynkov & Eli Turkel
    2018-04-11
    43319 3889 Pages:442-455
  • RLC Equivalent Circuit Synthesis Method for Structure-Preserved Reduced-Order Model of Interconnect in VLSI

    Fan Yang, Xuan Zeng, Yangfeng Su & Dian Zhou
    2018-03-24
    39680 4068 Pages:376-396
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    46261 3977 Pages:288-320
  • High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

    Cheng Wang, Jianxu Ding, Sirui Tan & Wenhu Han
    2020-07-30
    39817 3370 Pages:1264-1281
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