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  • Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

    Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang
    2007-02-01
    38271 3963 Pages:933-963
  • Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

    Jiahui Zhang, Yinhua Xia, Yan Xu
    2025-07-11
    5441 625 Pages:109-155
  • Heterogeneous Multiscale Methods: A Review

    Weinan E, Bjorn Engquist, Xiantao Li, Weiqing Ren, Eric Vanden-Eijnden
    2007-02-01
    47704 5512 Pages:367-450 Open-access
  • Majority-Vote on Undirected Barabási-Albert Networks

    F. W. S. Lima
    2018-03-24
    39954 3928 Pages:358-366
  • An Efficient Real Space Method for Orbital-Free Density-Functional Theory

    C. J. García-Cervera
    2018-03-24
    39859 3734 Pages:334-357
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40520 3354 Pages:477-510
  • On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

    Yeonjong Shin, Jérôme Darbon, George Em Karniadakis
    2020-11-18
    89530 4611 Pages:2042-2074
  • Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

    Wenju Liu, Yanjiao Zhou, Zhiyue Zhang
    2024-03-13
    26575 2274 Pages:313-368
  • 3D-Simulations of Transverse Optical Modes of the Free Electron Laser Resonator with Hole Output Coupling

    Yu-Huan Dou, Xiao-Jian Shu, Yuan-Zhang Wang
    2006-01-01
    39642 4031 Pages:920-929
  • An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

    Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao
    2025-09-02
    11913 969 Pages:575-602
  • Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

    Weizhu Bao, Yue Feng, Wenfan Yi
    2019-08-27
    48247 3528 Pages:1307-1334
  • A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

    Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong
    2019-07-02
    45002 3205 Pages:1118-1142
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46171 3343 Pages:1071-1097
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao, Huaxiong Huang
    2019-04-04
    47061 3488 Pages:389-412
  • Numerical Modeling of Non-Isothermal Compositional Compressible Gas Flow in Soil and Coupled Atmospheric Boundary Layer

    Ondrej Partl, Michal Benes, Radek Fucik, Tissa Illangasekare
    2019-04-04
    45948 3377 Pages:346-388
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang
    2019-02-25
    48397 5527 Pages:160-191
  • A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

    Fan Zhang, Hansong Tang, Jian Cheng, Tiegang Liu
    2018-12-08
    48845 3547 Pages:988-1009
  • A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

    Si Gao, Tiegang Liu
    2018-11-09
    46349 3629 Pages:781-811
  • Space-Time Discontinuous Galerkin Method for Maxwell's Equations

    Ziqing Xie, Bo Wang, Zhimin Zhang
    2013-10-05
    39513 4004 Pages:916-939
  • Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

    A. Rasheed, A. Belmiloudi
    2014-08-05
    41340 4170 Pages:477-508
  • A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

    Jaw-Yen Yang, Bagus Putra Muljadi, Zhi-Hui Li, Han-Xin Zhang
    2014-07-05
    38930 4527 Pages:242-264
  • A Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 1 – Steady Flow

    S. C. Fu, W. W. F. Leung, R. M. C. So
    2014-07-05
    39296 4754 Pages:126-152
  • Radiogenic Source Identification for the Helium Production-Diffusion Equation

    Gang Bao, Todd A. Ehlers, Peijun Li
    2014-07-05
    39190 4591 Pages:1-20
  • Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

    Yong Zhang
    2013-05-05
    41129 4168 Pages:1357-1388
  • Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

    Jian Zhang, Qiang Du
    2013-05-05
    40386 4263 Pages:1209-1226
  • An Efficient Sampling Method for Regression-Based Polynomial Chaos Expansion

    Samih Zein, Benoit Colson, Francois Glineur
    2013-08-05
    43673 4360 Pages:1173-1188
  • Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

    Haiyang Gao, Z. J. Wang, H. T. Huynh
    2013-08-05
    43773 4169 Pages:1013-1044
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