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  • A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

    Hong-Lin Liao, William McLean, Jiwei Zhang
    2021-05-25
    54602 3509 Pages:567-601
  • 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
    67668 5387 Pages:123-151
  • Linear Stability Analysis and Gas Kinetic Scheme (GKS) Simulations of Instabilities in Compressible Plane Poiseuille Flow

    Ankita Mittal, Bajrang Sharma, Sharath S. Girimaji
    2021-10-26
    46987 3258 Pages:1323-1345
  • One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2021-01-13
    47441 3360 Pages:649-697
  • 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
    50564 3535 Pages:1335-1364
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu & Changhong Hu
    2019-04-28
    46620 3441 Pages:719-748
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu
    2019-02-25
    47236 5427 Pages:233-264
  • A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

    Qibing Li
    2018-10-11
    45016 3354 Pages:416-447
  • A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

    Pascal Jacq, Pierre-Henri Maire & Rémi Abgrall
    2014-10-08
    42351 4150 Pages:841-891
  • Modified Baer-Nunziato Model for the Simulation of Interfaces Between Compressible Fluids

    Qiang Wu, Xian-Guo Lu & De-Kang Mao
    2011-09-01
    38366 3809 Pages:1040-1055
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27860 2014 Pages:1073-1119
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    49980 3295 Pages:949-975
  • The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder

    Jiten C Kalita & Shuvam Sen
    2012-12-01
    39969 4048 Pages:1163-1182
  • Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

    Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang
    2020-08-27
    50113 3275 Pages:1389-1414
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    201 54 Pages:1262-1306
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-03
    39339 3066 Pages:650-672
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    60 34 Pages:425-448
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    39056 3925 Pages:425-448
  • 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
    4416 398 Pages:538-574
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31555 2569 Pages:1079-1132
  • Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

    Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng
    2023-09-04
    34054 2663 Pages:418-455
  • A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

    Yanlong Zhang
    2023-08-14
    34420 3240 Pages:116-131
  • Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

    Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti
    2022-03-03
    45450 3150 Pages:707-738
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    47818 3389 Pages:1186-1212
  • Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

    Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li
    2020-05-06
    49633 3646 Pages:1470-1484
  • Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

    Zhenghua Gu, Yuan Yao, Ching-Hao Yu, Ruidong An
    2020-02-23
    49166 3341 Pages:1076-1114
  • Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes

    Ting-Jui Hsu, Fengping Jin, Christian Seidel, Florian Neukart, Hans De Raedt & Kristel Michielsen
    2019-04-28
    47503 4925 Pages:928-946 Open-access
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