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  • A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

    X. -M. He, T. Lin, Y. Lin
    2009-06-01
    39087 4335 pp. 185-202
  • A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

    Y. Xing & C.-W. Shu
    2018-03-22
    41949 4590 pp. 100-134
  • Convergence Analysis for a Finite Volume Evolution Galerkin Method for Multidimensional Hyperbolic Systems

    Mária Lukáčová-Medviďová, Zhuyan Tang, Yuhuan Yuan
    2026-05-01
    DOI:10.4208/cicp.OA-2024-0271
    222 41 pp. 1479-1511
  • The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

    I. S. Popov
    2025-09-18
    DOI:10.4208/cicp.OA-2024-0202
    4680 402 pp. 1237-1330
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    DOI:10.4208/cicp.OA-2024-0068
    9400 599 pp. 1120-1156
  • A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

    José A. Carrillo, Alina Chertock, Yanghong Huang
    2018-04-02
    DOI:10.4208/cicp.160214.010814a
    42142 4619 pp. 233-258
  • A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs

    Tiao Lu, Gang Du, Xiaoyan Liu, Pingwen Zhang
    2011-10-01
    DOI:10.4208/cicp.071109.261110a
    38432 4062 pp. 305-338
  • A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

    Karol Mikula, Daniel Ševčovič, Martin Balažovjech
    2010-07-01
    DOI:10.4208/cicp.2009.08.169
    41221 4354 pp. 195-211
  • Colocated Finite Volume Schemes for Fluid Flows

    S. Faure, J. Laminie, R. Temam
    2008-04-01
    38606 4237 pp. 1-25
  • The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

    Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang
    2025-07-11
    DOI:10.4208/cicp.OA-2024-0180
    5413 648 pp. 37-73
  • Inverse Design of Strained Graphene Surfaces for Electron Control

    François Fillion-Gourdeau, Emmanuel Lorin, Steve Maclean
    2023-08-14
    DOI:10.4208/cicp.OA-2022-0011
    32669 3242 pp. 235-260
  • Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

    Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0263
    32318 2962 pp. 692-732
  • An Adaptive Moving Mesh Method for the Five-Equation Model

    Yaguang Gu, Dongmi Luo, Zhen Gao, Yibing Chen
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0169
    42988 3752 pp. 189-221
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0185
    44588 3183 pp. 1561-1584
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    DOI:10.4208/cicp.OA-2021-0011
    47693 3240 pp. 1185-1215
  • Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

    Jian-Guo Liu, Jinhuan Wang, Yu Zhao, Zhennan Zhou
    2021-07-01
    DOI:10.4208/cicp.OA-2019-0223
    48041 3272 pp. 874-902
  • High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

    Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0153
    49547 3302 pp. 666-708
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0167
    49108 3206 pp. 423-447
  • A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

    S. Kelbij Star, Giovanni Stabile, Francesco Belloni, Gianluigi Rozza, Joris Degroote
    2021-04-30
    DOI:10.4208/cicp.OA-2020-0059
    50208 4616 pp. 34-66
  • Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study

    Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch
    2020-12-02
    DOI:10.4208/cicp.OA-2020-0033
    46644 3273 pp. 472-509
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    DOI:10.4208/cicp.OA-2019-0123
    48912 3382 pp. 591-620
  • Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

    Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0036
    50007 3635 pp. 1413-1442
  • A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

    Qiannan Dong, Shuai Su, Jiming Wu
    2020-05-06
    DOI:10.4208/cicp.OA-2018-0292
    50302 3700 pp. 1378-1412
  • Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

    Sokratia Georgaka, Giovanni Stabile, Gianluigi Rozza, Michael J. Bluck
    2020-03-06
    DOI:10.4208/cicp.OA-2018-0207
    70575 6907 pp. 1-32
  • 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
    DOI:10.4208/cicp.OA-2018-0252
    45004 3208 pp. 1118-1142
  • 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
  • A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

    Bin Lan, Zhiqiang Sheng, Guangwei Yuan
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0127
    45167 3720 pp. 1455-1476
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