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

    Tao Tang, Xiang Xu
    2018-04-11
    41830 3664 pp. 779-792
  • Numerical Methods for Balance Laws with Space Dependent Flux: Application to Radiotherapy Dose Calculation

    Christophe Berthon, Martin Frank, Celine Sarazin, Rodolphe Turpault
    2011-10-01
    DOI:10.4208/cicp.020810.171210a
    38515 4060 pp. 1184-1210
  • Zero Temperature Numerical Studies of Multiband Lattice Models of Strongly Correlated Electrons

    Yong-Qiang Wang, Hai-Qing Lin, J. E. Gubernatis
    2006-01-01
    38925 3744 pp. 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
    DOI:10.4208/cicp.OA-2020-0028
    48257 3808 pp. 445-471 Open Access
  • Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

    Wenqiang Feng, Xiaoming He, Yanping Lin, Xu Zhang
    2020-07-31
    DOI:10.4208/cicp.150313.171013s
    42389 4176 pp. 1045-1067
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Bjoern Sjoegreen, H. C. Yee, William D. Henshaw
    2018-03-27
    DOI:10.4208/cicp.240811.090312a
    38851 3968 pp. 583-602
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

    Yihui Han, Xiaoping Xie
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0107
    45692 3354 pp. 1039-1070
  • An Optimization-Based Rezoning for ALE Methods

    Yibing Chen, Song Jiang
    2008-11-05
    37345 4241 pp. 1216-1244
  • Effectiveness of Implicit Methods for Stiff Stochastic Differential Equations

    Tiejun Li, Assyr Abdulle, E. Weinan
    2018-03-24
    40165 3961 pp. 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
    DOI:10.4208/cicp.OA-2019-0122
    47712 3272 pp. 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
    DOI:10.4208/cicp.220711.041011s
    41147 4428 pp. 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
    DOI:10.4208/cicp.OA-2021-0079
    47625 3925 pp. 154-187
  • Analysis and Computation for a Fluid Mixture Model

    Qunlei Jiang, Zhilin Li, Sharon R. Lubkin
    2018-04-11
    41657 3694 pp. 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
    41169 3627 pp. 600-619
  • A Fast State-Based Peridynamic Numerical Model

    Ning Du, Xu Guo, Hong Wang
    2020-03-06
    DOI:10.4208/cicp.OA-2018-0288
    52439 5336 pp. 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
    DOI:10.4208/cicp.250910.131011a
    40455 4176 pp. 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
    DOI:10.4208/cicp.OA-2023-0115
    3766 390 pp. 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
    DOI:10.4208/cicp.181015.270416a
    39793 3241 pp. 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
    DOI:10.4208/cicp.051010.180311a
    40926 5280 pp. 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
    DOI:10.4208/cicp.OA-2024-0134
    4624 487 pp. 439-466
  • Structure-Preserving Numerical Methods for Stochastic Poisson Systems

    Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang
    2021-01-13
    DOI:10.4208/cicp.OA-2019-0084
    47552 3430 pp. 802-830
  • On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

    Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto
    2020-07-31
    38928 3882 pp. 1010-1042
  • On Dissipation and Dispersion Errors Optimization, A-Stability and SSP Properties

    Arman Rokhzadi, Abdolmajid Mohammadian
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0015
    44988 5871 pp. 268-285
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0136
    45933 3934 pp. 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
    DOI:10.4208/cicp.2009.08.154
    42008 3910 pp. 473-509
  • On the Reduction of Numerical Dissipation in Central-Upwind Schemes

    Alexander Kurganov, Chi-Tien Lin
    2007-02-01
    39756 4778 pp. 141-163
  • $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

    Yidu Yang, Jiayu Han, Hai Bi
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0171
    49604 3239 pp. 1366-1388
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