Search Results

• Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

  Jiyong Li

  2024-11-19

  13946 1106 Pages:280-314

• 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

  11497 1252 Pages:89-120

• Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

  Pratibha Shakya

  2024-11-13

  11714 1119 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

  26500 1997 Pages:1063-1079

• Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

  Meng Cai, Siqing Gan, Xiaojie Wang

  2024-04-08

  19097 1896 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

  25706 2269 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

  28344 2735 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

  31479 2997 Pages:111-133

• Stable Boundary Conditions and Discretization for $P_N$ Equations

  Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

  2022-11-08

  302167 3449 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

  45053 3133 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

  43009 4001 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

  40611 3073 Pages:777-800

• Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models

  Yifen Ke, Changfeng Ma

  2021-10-15

  40005 3038 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

  41508 2974 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

  41079 3265 Pages:471-492

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  42366 4342 Pages:130-146

• Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System

  Xuelian Bao, Rui Chen, Hui Zhang

  2021-06-10

  43628 4471 Pages:1-21

• Solution of Optimal Transportation Problems Using a Multigrid Linear Programming Approach

  Adam M. Oberman, Yuanlong Ruan

  2021-07-01

  42069 4214 Pages:933-951

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41168 4321 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

  42067 3002 Pages:297-315

• Saturation and Reliable Hierarchical a Posteriori Morley Finite Element Error Control

  Carsten Carstensen, Dietmar Gallistl, Yunqing Huang

  2021-07-01

  44966 4057 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

  39926 2955 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

  39295 2979 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

  38094 2787 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

  39616 2812 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

  39511 2916 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

  40883 4803 Pages:128-158