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  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    DOI:10.4208/ijnam2023-1027
    24631 2155 pp. 618-646
  • A Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Variable Mobility

    Xiaochun Chen, Cheng Wang, Steven M. Wise
    2022-09-27
    37569 2775 pp. 839-863
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36812 2711 pp. 767-793
  • An Unconditionally Stable Numerical Scheme for a Competition System Involving Diffusion Terms

    Seth Armstrong, Jianlong Han
    2020-02-03
    34486 2612 pp. 212-235
  • A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

    Jianguo Huang, Xuehai Huang
    2018-08-14
    33519 3873 pp. 86-101
  • Laplace Transformation Method for the Black-Scholes Equation

    Hyoseop Lee, Dongwoo Sheen
    2009-06-01
    30784 2598 pp. 642-658
  • Convergence Analysis of a Splitting Method for Stochastic Differential Equations

    W. Zhao, L. Tian, L. Ju
    2008-05-01
    31554 3528 pp. 673-692
  • An a Priori Error Analysis of Operator Upscaling for the Acoustic Wave Equation

    T. Vdovina, S. E. Minkoff
    2008-05-01
    31777 3428 pp. 543-569
  • An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates

    Ning Zhang, Fei Xu, Hehu Xie
    2019-08-09
    33496 2619 pp. 789-803
  • A Class of Runge-Kutta Methods for Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-08-04
    DOI:10.4208/ijnam2025-1034
    6398 569 pp. 777-800
  • Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

    Farjana Siddiqua, Wenlong Pei
    2024-10-09
    DOI:10.4208/ijnam2024-1035
    14096 1124 pp. 879-909
  • Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

    Chinonso Nwankwo, Weizhong Dai
    2024-10-09
    DOI:10.4208/ijnam2024-1032
    14109 1160 pp. 793-821
  • Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation as a Port-Hamiltonian System

    Ghislain Haine, Denis Matignon, Anass Serhani
    2022-11-28
    DOI:10.4208/ijnam2023-1005
    292706 3163 pp. 92-133
  • A Multiscale Parallel Algorithm for Parabolic Integro-Differential Equation in Composite Media

    Fangman Zhai, Liqun Cao
    2022-06-22
    37356 2689 pp. 542-562
  • An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40241 2716 pp. 481-499
  • A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

    Yuzhe Qin, Cheng Wang, Zhengru Zhang
    2021-03-25
    38592 2624 pp. 399-425
  • A Finite-Difference Scheme for a Linear Multi-Term Fractional-in-Time Differential Equation with Concentrated Capacities

    Aleksandra Delić, Sandra Živanović, Zorica Milovanović Jeknić
    2021-03-24
    32061 2592 pp. 265-286
  • Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity

    Hao Dong, Yufeng Nie, Junzhi Cui, Zihao Yang, Ziqiang Wang
    2018-08-15
    32499 2609 pp. 834-863
  • Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem

    Yao Cheng, Qiang Zhang, Haijin Wang
    2018-08-15
    32570 2660 pp. 785-810
  • 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
  • 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
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • Numerical Inversion Schemes for Magnetization Using Aeromagnetic Data

    Yile Zhang, Yau Shu Wong, Jian Deng, Sha Lei, Julien Lambert
    2015-12-01
    33669 2726 pp. 684-703
  • Grid Approximation of a Singularly Perturbed Parabolic Equation with Degenerating Convective Term and Discontinuous Right-Hand Side

    C. Clavero, J. L. Gracia, G. I. Shishkin, L. P. Shishkina
    2013-10-01
    33927 2719 pp. 795-814
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32688 2627 pp. 430-444
  • A Robust Finite Difference Method for a Singularly Perturbed Degenerate Parabolic Problems, Part I

    M. Viscor & M. Stynes
    2010-07-01
    33005 2602 pp. 549-566
  • $N$-Simplex Crouzeix-Raviart Element for the Second Order Elliptic/Eigenvalue Problems

    Y. Yang, F. Lin & Z. Zhang
    2009-06-01
    30753 2598 pp. 615-626
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