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  • Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations

    Tao Tang & Xiang Xu
    2018-04-11
    41679 3605 Pages:779-792
  • Numerical Methods for Balance Laws with Space Dependent Flux: Application to Radiotherapy Dose Calculation

    Christophe Berthon, Martin Frank, Céline Sarazin & Rodolphe Turpault
    2011-10-01
    38352 4010 Pages:1184-1210
  • Zero Temperature Numerical Studies of Multiband Lattice Models of Strongly Correlated Electrons

    Y. Q. Wang, H. Q. Lin & J. E. Gubernatis
    2006-01-01
    38753 3688 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
    48036 3684 Pages:445-471 Open-access
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang & Xiaoying Deng
    2010-07-01
    38898 4384 Pages:1027-1048
  • Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

    Wenqiang Feng, Xiaoming He, Yanping Lin & Xu Zhang
    2020-07-31
    42199 4118 Pages:1045-1067
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw
    2018-03-27
    38660 3932 Pages:583-602
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

    Yihui Han, Xiaoping Xie
    2019-07-02
    45496 3297 Pages:1039-1070
  • An Optimization-Based Rezoning for ALE Methods

    Yibing Chen & Song Jiang
    2008-11-05
    37151 4171 Pages:1216-1244
  • Effectiveness of Implicit Methods for Stiff Stochastic Differential Equations

    Tiejun Li, Assyr Abdulle & Weinan E
    2018-03-24
    39967 3881 Pages:295-307
  • Weak Galerkin and Continuous Galerkin Coupled Finite Element Methods for the Stokes-Darcy Interface Problem

    Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-07-21
    47451 3176 Pages:1147-1175
  • Numerical Optimization of a Walk-on-Spheres Solver for the Linear Poisson-Boltzmann Equation

    Travis Mackoy, Robert C. Harris, Jesse Johnson, Michael Mascagni & Marcia O. Fenley
    2013-01-05
    41006 4322 Pages:195-206
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47369 3809 Pages:154-187
  • Analysis and Computation for a Fluid Mixture Model

    Qunlei Jiang, Zhilin Li & Sharon R. Lubkin
    2018-04-11
    41488 3633 Pages:620-634
  • Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

    Sigal Gottlieb & Jae-Hun Jung
    2018-04-11
    41000 3576 Pages:600-619
  • A Fast State-Based Peridynamic Numerical Model

    Ning Du, Xu Guo, Hong Wang
    2020-03-06
    52258 5213 Pages:274-291
  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack, Shi Jin & Jian-Guo Liu
    2012-12-01
    40286 4111 Pages:955-980
  • Higher Order Accurate Bounds Preserving Time-Implicit Discretizations for the Chemically Reactive Euler Equations

    Fengna Yan, J. J. W. Van der Vegt, Yinhua Xia, Yan Xu
    2025-09-05
    3374 299 Pages:1017-1052
  • 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
    39611 3172 Pages:374-404
  • Numerical Study of a 3D Two-Phase PEM Fuel Cell Model via a Novel Automated Finite Element/Finite Volume Program Generator

    Pengtao Sun, Su Zhou, Qiya Hu & Guoping Liang
    2012-11-01
    40760 5157 Pages:65-98
  • New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion

    Maxim Davydov, Olga Stoyanovskaya, Tatiana Savvateeva, Valeriy Snytnikov
    2025-08-08
    4361 412 Pages:439-466
  • Structure-Preserving Numerical Methods for Stochastic Poisson Systems

    Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang
    2021-01-13
    47269 3342 Pages:802-830
  • On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

    T. Arens, S. N. Chandler-Wilde & J. A. DeSanto
    2020-07-31
    38787 3833 Pages:1010-1042
  • On Dissipation and Dispersion Errors Optimization, A-Stability and SSP Properties

    Arman Rokhzadi & Abdolmajid Mohammadian
    2018-09-17
    44764 5709 Pages:268-285
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan
    2010-07-01
    41809 3844 Pages:473-509
  • On the Reduction of Numerical Dissipation in Central-Upwind Schemes

    A. Kurganov & C. T. Lin
    2007-02-01
    39577 4652 Pages:141-163
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