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  • Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

    Ang Ge, Jinye Shen, Lijun Yi
    2024-11-18
    11282 1132 Pages:89-120
  • Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

    Pratibha Shakya
    2024-11-13
    11571 1080 Pages:1579-1604
  • A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs

    Yayun Fu, Dongdong Hu, Wenjun Cai, Yushun Wang
    2024-04-09
    26364 1952 Pages:1063-1079
  • Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

    Meng Cai, Siqing Gan, Xiaojie Wang
    2024-04-08
    18940 1857 Pages:735-754
  • Multirate Time Iterative Scheme with Multiphysics Finite Element Method for a Nonlinear Poroelasticity

    Zhihao Ge, Hairun Li, Tingting Li
    2024-01-16
    25578 2245 Pages:597-616
  • Strong Convergence of Jump-Adapted Implicit Milstein Method for a Class of Nonlinear Jump-Diffusion Problems

    Xu Yang, Weidong Zhao
    2023-12-01
    28198 2651 Pages:248-270
  • Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

    Ruihan Guo, Yan Xu
    2023-12-01
    31302 2846 Pages:111-133
  • Stable Boundary Conditions and Discretization for $P_N$ Equations

    Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
    2022-11-08
    302034 3412 Pages:977-1003
  • A Second Order Unconditionally Convergent Finite Element Method for the Thermal Equation with Joule Heating Problem

    Xiaonian Long, Qianqian Ding
    2022-10-06
    44935 3104 Pages:354-372
  • A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method

    Pengzhan Huang, Yinnian He, Ting Li
    2021-11-19
    42862 3922 Pages:26-43
  • Analysis on a Numerical Scheme with Second-Order Time Accuracy for Nonlinear Diffusion Equations

    Xia Cui, Guangwei Yuan, Fei Zhao
    2021-10-15
    40472 3029 Pages:777-800
  • Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models

    Yifen Ke, Changfeng Ma
    2021-10-15
    39893 3009 Pages:733-754
  • A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

    Lu Zhang, Qifeng Zhang, Hai-Wei Sun
    2021-10-15
    41380 2940 Pages:708-732
  • Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

    Xiaoliang Song, Bo Chen, Bo Yu
    2021-04-07
    40985 3223 Pages:471-492
  • Mixed Finite Element Methods for Fractional Navier-Stokes Equations

    Xiaocui Li, Xu You
    2021-06-10
    42232 4264 Pages:130-146
  • Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System

    Xuelian Bao, Rui Chen, Hui Zhang
    2021-06-10
    43499 4419 Pages:1-21
  • Solution of Optimal Transportation Problems Using a Multigrid Linear Programming Approach

    Adam M. Oberman, Yuanlong Ruan
    2021-07-01
    41947 4173 Pages:933-951
  • An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

    Junming Duan, Huazhong Tang
    2020-02-06
    41033 4261 Pages:58-83
  • Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

    Jianfei Huang, Yue Zhao, Sadia Arshad, Kuangying Li, Yifa Tang
    2019-04-29
    41939 2970 Pages:297-315
  • Saturation and Reliable Hierarchical a Posteriori Morley Finite Element Error Control

    Carsten Carstensen, Dietmar Gallistl, Yunqing Huang
    2021-07-01
    44865 4035 Pages:833-844
  • Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model

    Rui Chen, Xiaofeng Yang, Hui Zhang
    2018-09-17
    39807 2928 Pages:661-681
  • Heterogeneous Multiscale Method for Optimal Control Problem Governed by Elliptic Equations with Highly Oscillatory Coefficients

    Liang Ge, Ningning Yan, Lianhai Wang, Wenbin Liu, Danping Yang
    2018-09-17
    39194 2954 Pages:644-660
  • A Sparse Grid Stochastic Collocation and Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Elliptic Equations

    Liang Ge, Tongjun Sun
    2019-02-12
    37983 2764 Pages:310-330
  • A Fast Stochastic Galerkin Method for a Constrained Optimal Control Problem Governed by a Random Fractional Diffusion Equation

    Ning Du, Wanfang Shen
    2019-02-12
    39508 2789 Pages:259-275
  • A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

    Jie Yang, Guannan Zhang, Weidong Zhao
    2019-02-12
    39385 2883 Pages:237-258
  • Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment

    Carlos Jerez-Hanckes, Serge Nicaise, Carolina Urzúa-Torres
    2018-09-17
    40799 4698 Pages:128-158
  • A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics

    Davide Forti, A. Quarteroni, Simone Deparis
    2018-08-22
    37598 4042 Pages:363-380 Open-access
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