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Numerical Mathematics: Theory, Methods and Applications
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  • Several Variants of the Primal-Dual Hybrid Gradient Algorithm with Applications

    Jianchao Bai, Jicheng Li, Zhie Wu
    2020-03-06
    46583 4213 Pages:176-199
  • A Multigrid Block LU-SGS Algorithm for Euler Equations on Unstructured Grids

    Ruo Li, Xin Wang & Weibo Zhao
    2018-08-14
    38806 3888 Pages:92-112
  • A Splitting Scheme for the Numerical Solution of the KWC System

    R. H. W. Hoppe & J. J. Winkle
    2019-04-22
    54339 2983 Pages:661-680
  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N. G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis & A. S. Fokas
    2018-12-17
    43044 2911 Pages:348-369
  • Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

    Fenghui Wang & Hong-Kun Xu
    2021-01-13
    42128 2795 Pages:770-781
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez & Chuanju Xu
    2021-01-13
    44706 2833 Pages:729-751
  • Dissipativity of θ-Methods for Nonlinear Delay Differential Equations

    Siqing Gan & Jinran Yao
    2018-09-17
    42976 2715 Pages:477-490
  • A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

    Qiya Hu & Lin Zhao
    2018-09-17
    40884 2743 Pages:453-476
  • A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

    Buyun Chen, Dongdong He & Kejia Pan
    2018-09-17
    42110 2841 Pages:299-320
  • Adaptive Parallel Primal-Dual Method for Saddle Point Problems

    Xiayang Zhang
    2018-09-17
    42364 4635 Pages:187-210
  • A Meshless and Parallelizable Method for Differential Equations with Time-Delay

    Shulin Wu & Chengming Huang
    2018-09-17
    42359 4407 Pages:92-127
  • Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

    Xing Fu & J. Nathan Kutz
    2017-11-02
    39267 2622 Pages:872-894
  • Parallel Smoothed Aggregation Multilevel Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problems

    Shang-Rong Cai, Jun-Yi Xiao, Yu-Chieh Tseng, Feng-Nan Hwang
    2020-03-16
    43824 2738 Pages:745-769
  • 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
    38727 2661 Pages:597-613
  • Deferred Correction Methods for Forward Backward Stochastic Differential Equations

    Tao Tang, Weidong Zhao & Tao Zhou
    2020-11-03
    40683 4146 Pages:222-242 Open-access
  • Finite Element Simulations with Adaptively Moving Mesh for the Reaction Diffusion System

    Congcong Xie & Xianliang Hu
    2016-09-01
    38954 2717 Pages:686-704
  • A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods

    Xiaole Han, Yu Li & Hehu Xie
    2015-08-01
    38621 2609 Pages:383-405
  • 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
    38883 2692 Pages:356-382
  • Algebraic Theory of Two-Grid Methods

    Yvan Notay
    2020-11-10
    39304 2634 Pages:168-198
  • Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

    Ying He & Jie Shen
    2014-07-01
    39722 3608 Pages:537-554
  • A Projection Preconditioner for Solving the Implicit Immersed Boundary Equations

    Qinghai Zhang, Robert D. Guy & Bobby Philip
    2014-07-01
    39959 3595 Pages:473-498
  • A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations

    Tianliang Hou, Yanping Chen & Yunqing Huang
    2011-04-01
    41858 3634 Pages:439-458
  • High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

    Hassan Fahs
    2009-02-01
    40727 3564 Pages:275-300
  • A Perturbation Result for Dynamical Contact Problems

    Corinna Klapproth, Peter Deuflhard & Anton Schiela
    2009-02-01
    40797 3454 Pages:237-257
  • The Jackson Inequality for the Best $L^2$-Approximation of Functions on [0,1] with the Weight $x$

    Jian Li & Yongping Liu
    2008-01-01
    38600 3820 Pages:340-356
  • A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

    Grigory I. Shishkin
    2008-01-01
    37714 3284 Pages:214-234
  • A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations

    M. M. Butt & Y. Yuan
    2017-10-01
    38334 2559 Pages:639-655
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