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Numerical Mathematics: Theory, Methods and Applications
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  • Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations

    Ralf Hiptmair, Haijun Wu & Weiying Zheng
    2012-05-01
    40670 3630 Pages:297-332
  • Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints

    Michelle Vallejos
    2012-05-01
    40526 4301 Pages:99-109 Open-access
  • Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

    Yubo Zhang & Tao Tang
    2011-04-01
    39423 4014 Pages:92-112
  • Multi-Product Expansion with Suzuki's Method: Generalization

    Jürgen Geiser
    2011-04-01
    39058 3809 Pages:68-91
  • 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
  • A Modified Polynomial Preserving Recovery and Its Applications to a Posteriori Error Estimates

    Haijun Wu
    2018-08-14
    39308 4103 Pages:53-78
  • An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains

    Qirong Fang, Jie Shen & Li-Lian Wang
    2009-02-01
    41043 3773 Pages:258-274
  • Numerical Integration Formulas for Hypersingular Integrals

    Kholmat M. Shadimetov, Dilshod M. Akhmedov
    2024-08-30
    17488 1429 Pages:805-826
  • On Lagrange-Projection Schemes for Shallow Water Flows over Movable Bottom with Suspended and Bedload Transport

    Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons, Tomás Morales de Luna
    2023-11-07
    33464 2650 Pages:1087-1126
  • Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

    Xu Qian, Hong Zhang, Jingye Yan, Songhe Song
    2023-11-07
    27969 2339 Pages:993-1012
  • Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

    Jihong Xiao, Zimo Zhu, Xiaoping Xie
    2023-01-13
    33423 3119 Pages:79-110
  • Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

    Xuejuan Chen, Zhiping Mao, George Em Karniadakis
    2023-01-21
    37448 2941 Pages:876-902
  • Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems

    Ting Li, Changying Liu, Bin Wang
    2022-07-19
    39125 2967 Pages:620-640
  • A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

    Guanrong Li, Yanping Chen, Yunqing Huang
    2022-02-09
    44967 3871 Pages:68-90
  • Discrete Approximation Scheme in Distributionally Robust Optimization

    Yongchao Liu, Xiaoming Yuan, Jin Zhang
    2021-01-26
    57990 2923 Pages:285-320
  • A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

    Yong Yu, Gang Chen, Liangya Pi, Yangwen Zhang
    2020-10-09
    48394 3555 Pages:144-175
  • A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

    Bin Wang, Xinyuan Wu, Yonglei Fang
    2020-03-16
    44089 2686 Pages:814-844
  • 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
  • An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

    Chaochao Yang, Tao Wang & Xiaoping Xie
    2019-04-22
    44235 2691 Pages:727-749
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez & Chuanju Xu
    2021-01-13
    44706 2833 Pages:729-751
  • A New Convergent Explicit Tree-Grid Method for HJB Equations in One Space Dimension

    Igor Kossaczký, Matthias Ehrhardt, Michael Günther
    2018-09-17
    52051 4675 Pages:1-29
  • Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations

    Yabing Sun, Jie Yang & Weidong Zhao
    2017-11-02
    39376 2709 Pages:798-828
  • A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems

    Changtao Sheng & Jie Shen
    2020-11-03
    39088 2527 Pages:437-464
  • 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
  • A Hybrid Immersed Interface Method for Driven Stokes Flow in an Elastic Tube

    Yi Li, Sarah A. Williams & Anita T. Layton
    2013-06-01
    39411 3386 Pages:600-616
  • Numerical Schemes for Linear and Non-Linear Enhancement of DW-MRI

    Eric Creusen, Remco Duits, Anna Vilanova & Luc Florack
    2013-06-01
    39943 3858 Pages:138-168
  • Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions

    Xiao-Yong Zhang, Ben-Yu Guo & Yu-Jian Jiao
    2018-08-14
    38769 3876 Pages:43-64
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