Search Results

• Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation

  Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim

  2025-06-06

  140 45

• Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model

  Zhihao Ge, Wenlong He

  2025-02-10

  114 23

• Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations

  Hongyu Qin, Fengyan Wu, Boya Zhou

  2023-11-08

  27341 2672 Pages:1305-1324

• Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

  Qing-Ping Deng, Xue-Jun Xu, Shu-Min Shen

  2000-04-02

  31572 3374 Pages:141-156

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  30728 2884 Pages:395-414

• Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

  Haishen Dai, Qiumei Huang, Cheng Wang

  2023-04-25

  31260 2802 Pages:370-394

• Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  5910 439 Pages:918-975

• Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations

  Liang Ge, Tongjun Sun, Wanfang Shen, Wenbin Liu

  2025-07-12

  5893 453 Pages:813-839

• An Overlapping Domain Decomposition Splitting Algorithm for Stochastic Nonlinear Schrödinger Equation

  Lihai Ji

  2025-07-12

  6005 478 Pages:791-812

• Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

  Ying Yang, Ya Liu, Yang Liu, Shi Shu

  2024-11-21

  15973 1484 Pages:731-770

• Numerical Methods for Approximating Stochastic Semilinear Time-Fractional Rayleigh-Stokes Equations

  Mariam Al-Maskari

  2024-11-21

  19165 1458 Pages:569-587

• Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

  Jiliang Cao, Aiguo Xiao, Wansheng Wang

  2024-11-19

  11551 1023 Pages:345-368

• 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

• Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

  Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu

  2024-11-18

  11319 1121 Pages:63-88

• A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains

  Kejia Pan, Xiaoxin Wu, Hongling Hu, Zhilin Li

  2024-11-18

  13659 1154 Pages:18-42

• Tensor Neural Network and Its Numerical Integration

  Yifan Wang, Hehu Xie, Pengzhan Jin

  2024-11-13

  14571 1206 Pages:1714-1742

• 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

• Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise

  Daxin Nie, Weihua Deng

  2024-11-13

  12702 1174 Pages:1502-1525

• A Uniform Convergent Petrov-Galerkin Method for a Class of Turning Point Problems

  Li Feng, Zhongyi Huang

  2024-07-18

  23563 1620 Pages:1356-1379

• Convergence Analysis of Nonconforming Quadrilateral Finite Element Methods for Nonlinear Coupled Schrödinger-Helmholtz Equations

  Dongyang Shi, Houchao Zhang

  2024-04-09

  25988 1891 Pages:979-998

• A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Biot Consolidation Model

  Yuping Zeng, Mingchao Cai, Liuqiang Zhong

  2024-04-09

  26302 2170 Pages:911-931

• Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

  Yanxia Qian, Fei Wang, Wenjing Yan

  2024-04-08

  18611 1921 Pages:885-910

• Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points

  Wei Liu, Ziqing Xie, Wenfan Yi

  2024-04-08

  18973 1790 Pages:851-884

• Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

  Dingwen Deng, Zhijun Li

  2024-04-08

  19089 1898 Pages:814-850

• Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

  Meng Cai, Siqing Gan, Xiaojie Wang

  2024-04-08

  18940 1857 Pages:735-754

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  28003 2444 Pages:289-312

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29167 2642 Pages:217-247