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  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2026-01-15
    3075 275 Pages:1-28
  • Numerical Stability Analysis for a Stationary and Translating Droplet at Extremely Low Viscosity Values Using the Lattice Boltzmann Method Color-Gradient Multi-Component Model with Central Moments Formulation

    Karun P. N. Datadien, Gianluca Di Staso, Federico Toschi
    2023-02-20
    43365 3471 Pages:330-348
  • Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

    Yi Wang & Shuyu Sun
    2018-04-04
    39994 3219 Pages:405-440
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi & Hailiang Liu
    2018-08-21
    46501 3244 Pages:747-772
  • Mechanics-Based Solution Verification for Porous Media Models

    M. Shabouei & K. B. Nakshatrala
    2020-07-30
    42166 3415 Pages:1127-1162
  • 3D-Simulations of Transverse Optical Modes of the Free Electron Laser Resonator with Hole Output Coupling

    Y. Dou, X. Shu & Y. Wang
    2006-01-01
    39553 4005 Pages:920-929
  • On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

    Yongle Du & John A. Ekaterinaris
    2018-04-04
    39701 3140 Pages:486-511
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang & Zhonghua Qiao
    2020-07-31
    41684 4302 Pages:1261-1278
  • An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow

    H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu & M.-C. Lai
    2018-04-03
    38639 3165 Pages:429-449
  • Zero Temperature Numerical Studies of Multiband Lattice Models of Strongly Correlated Electrons

    Y. Q. Wang, H. Q. Lin & J. E. Gubernatis
    2006-01-01
    38826 3711 Pages:575-615
  • On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

    Yana Di, Guanghui Hu, Ruo Li, Feng Yang
    2020-12-02
    48151 3738 Pages:445-471 Open-access
  • A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

    D. H. Yang, N. Wang & E. Liu
    2012-12-01
    40458 4291 Pages:1006-1032
  • Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

    Jin Zhao
    2020-12-02
    47987 3299 Pages:420-444
  • On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

    Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause & Nikolaus A. Adams
    2018-08-21
    53969 3235 Pages:846-876
  • On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

    Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou
    2022-07-06
    42935 3698 Pages:222-258
  • A Biological Model of Acupuncture and Its Derived Mathematical Modeling and Simulations

    Marc Thiriet, Yannick Deleuze & Tony Wen-Hann Sheu
    2020-07-31
    38646 2984 Pages:831-849
  • Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect

    Kazuo Aoki, Pierre Degond & Luc Mieussens
    2020-07-30
    39340 4205 Pages:919-954
  • Hydrophobic Effect in a Continuum Model of the Lipid Bilayer

    Phillip L. Wilson, Huaxiong Huang & Shu Takagi
    2009-06-01
    39433 3802 Pages:655-672
  • Numerical Simulations of Particle Sedimentation Using the Immersed Boundary Method

    Sudeshna Ghosh & John M. Stockie
    2018-04-03
    38712 3129 Pages:380-416
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19661 1568 Pages:521-550
  • Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

    Huajie Chen & Reinhold Schneider
    2018-04-03
    42030 4648 Pages:125-146
  • Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

    S. Karimi & K. B. Nakshatrala
    2018-04-04
    39688 3199 Pages:374-404
  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    35407 2706 Pages:938-972
  • On Dissipation and Dispersion Errors Optimization, A-Stability and SSP Properties

    Arman Rokhzadi & Abdolmajid Mohammadian
    2018-09-17
    44867 5761 Pages:268-285
  • Dynamic Modeling of Phase Crossings in Two-Phase Flow

    S. Madsen, C. Veje & M. Willatzen
    2012-12-01
    40086 4169 Pages:1129-1147
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31433 2689 Pages:1043-1078
  • A Nearly Analytical Discrete Method for Wave-Field Simulations in 2D Porous Media

    D. Yang, J. Peng, M. Lu & T. Terlaky
    2006-01-01
    135 60 Pages:528-547
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