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  • A Branching Random Walk Method for Many-Body Wigner Quantum Dynamics

    Sihong Shao & Yunfeng Xiong
    2018-09-18
    51653 4544 Pages:21-71
  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    47662 2841 Pages:738-772
  • Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

    Jie Ding, Cheng Wang & Shenggao Zhou
    2018-12-17
    42117 2834 Pages:607-626
  • Time-Stepping Error Bound for a Stochastic Parabolic Volterra Equation Disturbed by Fractional Brownian Motions

    Ruisheng Qi & Qiu Lin
    2019-04-22
    43612 2668 Pages:778-796
  • 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
    44012 2739 Pages:845-866
  • A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

    Yaning Xie, Wenjun Ying
    2020-03-16
    44144 2926 Pages:595-619
  • Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

    G.N. Milstein, M.V. Tretyakov
    2020-10-09
    48799 3834 Pages:1-30
  • An Implicit Solver for the Time-Dependent Kohn-Sham Equation

    Lei Yang, Yedan Shen, Zhicheng Hu, Guanghui Hu
    2020-10-09
    47628 3773 Pages:261-284 Open-access
  • Discrete Approximation Scheme in Distributionally Robust Optimization

    Yongchao Liu, Xiaoming Yuan, Jin Zhang
    2021-01-26
    57990 2923 Pages:285-320
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    44633 2638 Pages:405-437
  • Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

    Tianliang Hou, Chunmei Liu & Hongbo Chen
    2018-09-18
    41138 4198 Pages:134-153
  • Meshfree First-Order System Least Squares

    Hugh R. MacMillan, Max D. Gunzburger & John V. Burkardt
    2018-08-14
    38181 3792 Pages:29-43
  • Design of Finite Element Tools for Coupled Surface and Volume Meshes

    Daniel Köster, Oliver Kriessl & Kunibert G. Siebert
    2008-01-01
    38268 3457 Pages:245-274
  • Implicit Shape Reconstruction of Unorganized Points Using PDE-Based Deformable 3D Manifolds

    Elena Franchini, Serena Morigi & Fiorella Sgallari
    2010-03-01
    42690 4178 Pages:405-430
  • Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

    C. Carstensen, R. H. W. Hoppe, N. Sharma & T. Warburton
    2011-04-01
    41773 3968 Pages:13-37
  • Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

    Armando Coco & Giovanni Russo
    2012-05-01
    41375 4442 Pages:19-42 Open-access
  • High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

    Xia Ji & Huazhong Tang
    2012-05-01
    41602 3617 Pages:333-358
  • Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems

    Yuelong Tang & Yanping Chen
    2012-05-01
    42063 3770 Pages:573-591
  • Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

    K. Manickam & P. Prakash
    2016-09-01
    39816 2806 Pages:528-548
  • A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions

    Zhiming Chen & Xueshuang Xiang
    2013-06-01
    39482 3838 Pages:538-555
  • Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

    Limei Li & Da Xu
    2014-07-01
    41089 4041 Pages:41-57
  • Evaluating Local Approximations of the L2-Orthogonal Projection Between Non-Nested Finite Element Spaces

    Thomas Dickopf & Rolf Krause
    2014-07-01
    39794 3653 Pages:288-316
  • Exact Singularity Subtraction from Boundary Integral Equations in Modeling Vesicles and Red Blood Cells

    Alexander Farutin & Chaouqi Misbah
    2014-07-01
    40040 3711 Pages:413-434
  • A Multilevel Method for the Solution of Time Dependent Optimal Transport

    Eldad Haber & Raya Horesh
    2015-08-01
    42326 4403 Pages:97-111
  • Multigrid Methods with Newton-Gauss-Seidel Smoothing and Constraint Preserving Interpolation for Obstacle Problems

    Chunxiao Wu & Justin W.L. Wan
    2020-11-10
    39737 2695 Pages:199-219
  • A Multigrid Solver Based on Distributive Smoother and Residual Overweighting for Oseen Problems

    Long Chen, Xiaozhe Hu, Ming Wang & Jinchao Xu
    2020-11-10
    39739 2661 Pages:237-252
  • A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Jiansong Zhang & Hui Guo
    2016-09-01
    39261 2707 Pages:215-238
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