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  • Stability and Superconvergence of a Special $Q_1$-Finite Volume Element Scheme over Quadrilateral Meshes

    Yanhui Zhou
    2025-04-29
    DOI:10.4208/ijnam2025-1024
    7115 552 pp. 556-584
  • Analysis of a Special Immersed Finite Volume Method for Elliptic Interface Problems

    Kai Liu, Qingsong Zou
    2019-08-09
    35227 2733 pp. 964-984
  • A Finite Volume Method Preserving the Invariant Region Property for the Quasimonotone Reaction-Diffusion Systems

    Huifang Zhou, Yuchun Sun, Fuchang Huo
    2024-10-09
    DOI:10.4208/ijnam2024-1036
    13646 1105 pp. 910-932
  • Finite Volume Approximation of Two-Dimensional Stiff Problems

    C.-Y. Jung, R. Temam
    2010-07-01
    32989 2480 pp. 462-476
  • The Immersed Finite Volume Element Method for Some Interface Problems with Nonhomogeneous Jump Conditions

    Ling Zhu, Zhiyue Zhang, Zhilin Li
    2016-05-03
    31843 2658 pp. 368-382
  • Cell Centered Finite Volume Methods Using Taylor Series Expansion Scheme Without Fictitious Domains

    G.-M. Gie, R. Temam
    2018-08-15
    32165 3821 pp. 1-29
  • Pricing European Options on Zero-Coupon Bonds with a Fitted Finite Volume Method

    Kai Zhang, Xiao-Qi Yang
    2017-06-01
    32528 2739 pp. 405-418
  • Numerical Treatment of Two-Phase Flow in Capillary Heterogeneous Porous Media by Finite-Volume Approximations

    H. A. Friis, S. Evje
    2012-08-06
    35006 2787 pp. 505-528
  • Mixed Finite Volume Method for Elliptic Problems on Non-Matching Multi-Block Triangular Grids

    Yanni Gao, Junliang Lv, Lanhui Zhang
    2017-06-01
    32509 45489 pp. 456-476
  • A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

    Shi Shu, Haiyuan Yu, Yunqing Huang, Cunyun Nie
    2006-08-01
    31276 2506 pp. 348-360
  • Convergence of Discontinuous Finite Volume Discretizations for a Semilinear Hyperbolic Optimal Control Problem

    Ruchi Sandilya, Sarvesh Kumar
    2016-11-08
    32481 2872 pp. 926-950
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • Convergence of a Cell-Centered Finite Volume Method and Application to Elliptic Equations

    Gung-Min Gie, Roger Temam
    2015-12-01
    33015 2728 pp. 536-566
  • Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

    Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie
    2025-03-14
    DOI:10.4208/ijnam2025-1015
    8396 844 pp. 340-360
  • A Priori Error Estimates for Finite Volume Element Approximations to Second Order Linear Hyperbolic Integro-Differential Equations

    Samir Karaa, Amiya K. Pani
    2015-12-01
    32607 2739 pp. 401-429
  • Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator

    Zhangxin Chen, Youqian Zhang
    2008-05-01
    31681 3853 pp. 86-100
  • A Multiresolution Method for the Simulation of Sedimentation in Included Channels

    R. Bürger, R. Ruiz-Baier, K. Schneider, H. Torres
    2012-08-06
    34869 2664 pp. 479-504
  • A Computational Scheme for Options Under Jump Diffusion Processes

    K. Zhang & S. Wang
    2009-06-01
    31855 3740 pp. 110-123
  • Linear and Quadratic Finite Volume Methods on Triangular Meshes for Elliptic Equations with Singular Solutions

    Guanghao Jin, Hengguang Li, Qinghui Zhang, Qingsong Zou
    2016-03-10
    32861 2576 pp. 244-264
  • Finite Volume Approximation of  the Linearized Shallow Water Equations in Hyperbolic Mode

    A. Bousquet & A. Huang
    2014-11-01
    32854 2626 pp. 816-840
  • Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

    Arthur Bousquet, Martine Marion, Roger Temam
    2014-11-01
    32760 2759 pp. 762-786
  • Interior-Exterior Penalty Approach for Solving Elasto-Hydrodynamic Lubrication Problem: Part I

    Peeyush Singh, Prawal Sinha
    2020-08-04
    35047 2594 pp. 695-731
  • Finite Volume Method on Hybrid Meshes for Coastal Ocean Model

    Zhigang Lai, Bin Wu, Qingsong Zou
    2016-03-10
    31822 2671 pp. 310-317
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31608 2719 pp. 163-178
  • Decoupled and Multiphysics Models for Non-Isothermal Compositional Two-Phase Flow in Porous Media

    J. Fritz, B. Flemisch, R. Helming
    2012-09-01
    33223 3943 pp. 17-28
  • Schwarz Method in a Geometrical Multi-Scale Domain with Continuous or Discontinuous Junctions

    Marie-Claude Viallon
    2025-04-29
    DOI:10.4208/ijnam2025-1023
    7172 529 pp. 534-555
  • A Selectively Relaxed Alternating Positive Semidefinite Splitting Preconditioner for the Flux-Limited Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Rong Zhou, Chunyan Chen, Xiaowen Xu, Shi Shu
    2025-03-14
    DOI:10.4208/ijnam2025-1016
    8375 832 pp. 361-383
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