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  • Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

    Liping Zhou, Shi Shu, Haiyuan Yu
    2019-10-12
    45952 2680 Pages:1119-1140
  • Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

    Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan
    2025-09-01
    5035 403 Pages:817-844
  • A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

    Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie
    2024-05-11
    21444 1655 Pages:429-462
  • Penalized Schemes for Hamilton-Jacobi-Bellman Quasi-Variational Inequalities Arising in Regime Switching Utility Maximization with Optimal Stopping

    Jingtang Ma, Jianjun Ma, Haofei Wu
    2024-05-11
    21214 1724 Pages:404-428
  • Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

    Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang
    2024-05-11
    26207 2128 Pages:331-350
  • Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

    Jing Sun, Weihua Deng, Daxin Nie
    2022-07-19
    39657 2990 Pages:744-767
  • Multi-Phase Segmentation Using Modified Complex Cahn-Hilliard Equations

    Xiakai Wang, Zhongyi Huang, Wei Zhu
    2022-03-23
    45312 2958 Pages:442-463
  • A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

    Dongfang Li, Weiwei Sun, Chengda Wu
    2021-01-26
    48410 2832 Pages:355-376
  • Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme

    T. Kamiya, M. Asahara, T. Nonomura
    2020-12-02
    46863 2836 Pages:1068-1097
  • FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

    Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan
    2019-10-12
    44257 2605 Pages:1246-1265
  • Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

    Mingrong Cui
    2019-04-22
    44084 2798 Pages:845-866
  • Finite Difference Schemes for the Tempered Fractional Laplacian

    Zhijiang Zhang, Weihua Deng & Hongtao Fan
    2018-12-17
    44114 2956 Pages:492-516
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez & Chuanju Xu
    2021-01-13
    44816 2859 Pages:729-751
  • Semi-Group Stability of Finite Difference Schemes in Corner Domains

    Antoine Benoit
    2018-09-17
    39920 2685 Pages:618-654
  • Error Splitting Preservation for High Order Finite Difference Schemes in the Combination Technique

    Christian Hendricks, Matthias Ehrhardt & Michael Günther
    2017-10-01
    38191 2591 Pages:689-710
  • Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

    Daniel Lee
    2017-10-01
    39583 2858 Pages:562-596
  • A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

    Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun
    2017-10-01
    39156 2676 Pages:541-561
  • The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel

    Jie Tang & Da Xu
    2013-06-01
    40139 3826 Pages:556-570
  • High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

    Hao Wu
    2011-04-01
    41377 3486 Pages:576-597
  • Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

    Yubo Zhang & Tao Tang
    2011-04-01
    39492 4068 Pages:92-112
  • A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

    Grigory I. Shishkin
    2008-01-01
    37778 3306 Pages:214-234
  • Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

    Xu Guo & Leevan Ling
    2018-09-17
    51160 2856 Pages:437-452
  • Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Zhengqin Yu & Xiaoping Xie
    2015-08-01
    38315 2641 Pages:582-604
  • Development and Comparison of Numerical Fluxes for LWDG Methods

    Jianxian Qiu
    2008-01-01
    38371 3651 Pages:435-459
  • Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

    Min Li, Dongfang Li, Ju Ming, A. S. Hendy
    2025-04-06
    6972 670 Pages:1-30
  • An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

    Haixia Dong, Wenjun Ying, Jiwei Zhang
    2023-04-10
    36279 2620 Pages:541-564
  • Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

    Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park
    2020-03-16
    45565 2863 Pages:644-664
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