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  • Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

    Baohua Huang, Changfeng Ma
    2019-10-12
    DOI:10.4208/nmtma.OA-2018-0083
    47169 2811 pp. 1093-1118
  • An $hp$-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

    Hongli Jia, Yang Yang, Zhongqing Wang
    2019-04-22
    DOI:10.4208/nmtma.OA-2018-0104
    44547 2731 pp. 969-994
  • Uniform Convergence Analysis for Singularly Perturbed Elliptic Problems with Parabolic Layers

    Jichun Li, Yitung Chen
    2008-01-01
    38521 3550 pp. 138-149
  • A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain

    Hao Wang, Shaohui Liu, Feng Yang
    2018-09-18
    DOI:10.4208/nmtma.OA-2017-0094
    41236 4474 pp. 233-264
  • Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

    Guiqiao Xu, Yongping Liu, Jie Zhang
    2018-09-18
    DOI:10.4208/nmtma.OA-2017-0129
    41349 4334 pp. 98-114
  • Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

    Qing Yang
    2018-09-17
    DOI:10.4208/nmtma.OA-2017-0002
    41263 2889 pp. 272-298
  • Extending GCR Algorithm for the Least Squares Solutions on a Class of Sylvester Matrix Equations

    Baohua Huang, Changfeng Ma
    2018-09-17
    DOI:10.4208/nmtma.OA-2017-0010
    42406 4416 pp. 140-159
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao, Shuai Su
    2018-09-17
    DOI:10.4208/nmtma.2018.m1607
    43114 4920 pp. 30-48
  • Sparse Recovery via ℓ$_q$-Minimization for Polynomial Chaos Expansions

    Ling Guo, Yongle Liu, Liang Yan
    2017-11-02
    DOI:10.4208/nmtma.2017.0001
    39846 2794 pp. 775-797
  • An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

    Cuicui Ji, Zhizhong Sun
    2017-10-01
    DOI:10.4208/nmtma.2017.m1605
    38897 2708 pp. 597-613
  • 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
    DOI:10.4208/nmtma.2017.y15013
    39285 2711 pp. 541-561
  • A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems

    Changtao Sheng, Jie Shen
    2020-11-03
    DOI:10.4208/nmtma.2017.s11
    39258 2577 pp. 437-464
  • Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0110
    45919 2924 pp. 372-399
  • A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

    Zhong-qing Wang, Jun Mu
    2016-09-01
    DOI:10.4208/nmtma.2016.m1429
    39791 2828 pp. 619-639
  • Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

    Ho Yuen Chan, Eric Chung, Yalchin Efendiev
    2016-09-01
    DOI:10.4208/nmtma.2016.m1603
    40372 4020 pp. 497-527 Open Access
  • An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

    Qing Yang, Yirang Yuan
    2015-08-01
    DOI:10.4208/nmtma.2015.my12031
    39041 2742 pp. 356-382
  • The Immersed Interface Method for Simulating Two-Fluid Flows

    Miguel Uh, Sheng Xu
    2014-07-01
    DOI:10.4208/nmtma.2014.1309si
    40200 3760 pp. 447-472
  • Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems

    Sebastian Franz, H. -G. Roos
    2014-07-01
    DOI:10.4208/nmtma.2014.1320nm
    39222 3565 pp. 356-373
  • Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

    Limei Li, Da Xu
    2014-07-01
    DOI:10.4208/nmtma.2014.y11051
    41275 4192 pp. 41-57
  • Quasi-Optimal Convergence Rate of an AFEM for Quasi-Linear Problems of Monotone Type

    Eduardo M. Garau, Pedro Morin, Carlos Zuppa
    2018-08-14
    DOI:10.4208/nmtma.2012.m1023
    40658 3710 pp. 131-156
  • Some Properties of the Optimal Preconditioner and the Generalized Superoptimal Preconditioner

    Hong-Kui Pang, Xiao-Qing Jin
    2010-03-01
    DOI:10.4208/nmtma.2010.m9013
    41270 3978 pp. 449-460
  • A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations

    Qianshun Chang, Xuecheng Tai, Lily Xing
    2009-02-01
    DOI:10.4208/nmtma.2009.m9001s
    41576 3881 pp. 353-376
  • Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation

    Zhenguo Deng, Heping Ma
    2009-02-01
    DOI:10.4208/nmtma.2009.m88037
    40498 3559 pp. 341-352
  • Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods

    Qiya Hu
    2008-01-01
    39542 3705 pp. 383-409
  • Finite-Difference Methods for a Class of Strongly Nonlinear Singular Perturbation Problems

    Relja Vulanović
    2008-01-01
    38169 3588 pp. 235-244
  • A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems

    Eugene O'Riordan, Jeanne Stynes, Martin Stynes
    2008-01-01
    38736 3517 pp. 176-197
  • Analytic and Experimental Studies of the Errors in Numerical Methods for the Valuation of Options

    P. Lin, J. J. H. Miller & G. I. Shishkin
    2008-01-01
    38673 3669 pp. 150-164
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