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  • Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

    Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang
    2025-08-23
    5916 407 Pages:684-710
  • A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

    Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li
    2024-01-31
    30072 2538 Pages:239-272
  • The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

    Yanjun Li, Yidu Yang, Hai Bi
    2023-09-04
    34581 2682 Pages:503-529
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41484 2933 Pages:1240-1269
  • A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

    Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge
    2021-08-10
    48454 3164 Pages:1118-1149
  • 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
  • Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation

    Shuang Tan, Wenjun Sun, Kun Xu, Junxia Wei, Guoxi Ni
    2020-07-21
    45548 3028 Pages:1189-1218
  • Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

    Guillaume Fenger, Olivier Goubet, Youcef Mammeri
    2019-08-27
    47064 3645 Pages:1397-1414
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

    M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega
    2018-09-17
    44381 4664 Pages:1556-1578 Open-access
  • A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures

    Zhiqiang Yang, Yi Sun, Junzhi Cui & Xiao Li
    2018-09-17
    45355 5213 Pages:204-233
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton
    2018-04-09
    41989 3352 Pages:303-337
  • Extended Hydrodynamic Models and Multigrid Solver of a Silicon Diode Simulation

    Zhicheng Hu, Ruo Li & Zhonghua Qiao
    2018-04-04
    40876 3197 Pages:551-582
  • A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

    Philippe G. LeFloch & Hasan Makhlof
    2014-03-05
    41550 3996 Pages:827-852
  • Two Uniform Tailored Finite Point Schemes for the Two Dimensional Discrete Ordinates Transport Equations with Boundary and Interface Layers

    Houde Han, Min Tang & Wenjun Ying
    2014-03-05
    41948 4229 Pages:797-826
  • 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
    40389 4271 Pages:1006-1032
  • Simulating an Elastic Ring with Bend and Twist by an Adaptive Generalized Immersed Boundary Method

    Boyce E. Griffith & Sookkyung Lim
    2020-07-31
    38619 3971 Pages:433-461
  • Microflow Simulations via the Lattice Boltzmann Method

    Nikolaos Prasianakis & Santosh Ansumali
    2020-07-21
    39198 3803 Pages:1128-1136
  • An Edge-Based Anisotropic Mesh Refinement Algorithm and Its Application to Interface Problems

    Duan Wang, Ruo Li & Ningning Yan
    2010-08-01
    41222 4038 Pages:511-540
  • Explicit Symplectic Methods for the Nonlinear Schrödinger Equation

    Hua Guan, Yandong Jiao, Ju Liu & Yifa Tang
    2009-06-01
    39619 3861 Pages:639-654
  • On Triangular Lattice Boltzmann Schemes for Scalar Problems

    François Dubois & Pierre Lallemand
    2020-07-31
    40738 4044 Pages:649-670
  • Numerical Modeling of Non-Isothermal Compositional Compressible Gas Flow in Soil and Coupled Atmospheric Boundary Layer

    Ondřej Pártl, Michal Beneš, Radek Fučík & Tissa Illangasekare
    2019-04-04
    45778 3331 Pages:346-388
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang & Zhimin Zhang
    2019-02-25
    48157 5348 Pages:160-191
  • Space-Time Discontinuous Galerkin Method for Maxwell's Equations

    Ziqing Xie, Bo Wang & Zhimin Zhang
    2013-10-05
    39367 3957 Pages:916-939
  • Radiogenic Source Identification for the Helium Production-Diffusion Equation

    Gang Bao, Todd A. Ehlers & Peijun Li
    2014-07-05
    39042 4452 Pages:1-20
  • Simulation of Three-Dimensional Bénard-Marangoni Flows Including Deformed Surfaces

    Tormod Bjøntegaard & Einar M. Rønquist
    2018-04-11
    42065 3681 Pages:273-295
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