Search Results

• A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

  Kaifang Liu

  2025-11-26

  194 240

• Optimal Error Analysis of a Hodge-Decomposition Based Finite Element Method for the Ginzburg-Landau Equations in Superconductivity

  Huadong Gao, Wen Xie

  2025-10-30

  4539 339 Pages:1397-1416

• An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems

  Jun Hu, Shangyou Zhang

  2020-02-06

  41470 4662 Pages:195-222

• Convergence Analysis for Spectral Approximation to a Scalar Transport Equation with a Random Wave Speed

  Tao Zhou, Tao Tang

  2021-07-01

  36183 3797 Pages:643-656

• Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

  Huan Liu, Xiangcheng Zheng, Hongfei Fu

  2022-10-06

  40758 3085 Pages:814-834

• Superlinearly Convergent Algorithms for Stochastic Time-Fractional Equations Driven by White Noise

  Zhen Song, Minghua Chen, Jiankang Shi

  2025-09-01

  557 35 Pages:819–842

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

  Pratibha Shakya

  2024-11-13

  11864 1152 Pages:1579-1604

• Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

  Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen

  2024-04-09

  26308 2021 Pages:1032-1062

• Sharp Pointwise-in-Time Error Estimate of L1 Scheme for Nonlinear Subdiffusion Equations

  Dongfang Li, Hongyu Qin, Jiwei Zhang

  2024-04-08

  19340 1914 Pages:662-678

• Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

  Jing Sun, Daxin Nie, Weihua Deng

  2024-11-19

  14358 1197 Pages:257-279

• Sharp Error Estimate of Variable Time-Step Imex BDF2 Scheme for Parabolic Integro-Differential Equations with Initial Singularity Arising in Finance

  Chengchao Zhao, Ruoyu Yang, Yana Di, Jiwei Zhang

  2025-09-28

  5190 475 Pages:1118-1140

• Theoretical Analyses on Discrete Formulae of Directional Differentials in the Finite Point Method

  Guixia Lv, Longjun Shen

  2021-11-19

  41869 4015 Pages:1-25

• A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

  Haiyan Jiang, Tiao Lu, Xu Yin

  2021-06-10

  42345 4395 Pages:22-42

• Finite Element Approximations for Schrödinger Equations with Applications to Electronic Structure Computations

  Xin-Gao Gong, Lihua Shen, Dier Zhang, Aihui Zhou

  2018-08-07

  33065 3606 Pages:310-323

• Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization

  Charles-Edouard Bréhier, Martin Hairer, Andrew M. Stuart

  2019-02-12

  44345 4192 Pages:159-182 Open-access

• A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

  Xingyang Ye, Junying Cao, Chuanju Xu

  2024-11-21

  16422 1548 Pages:615-640

• 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

  14143 1154 Pages:280-314

• Finite Element Method with Grünwald-Letnikov Type Approximation in Time for a Constant Time Delay Subdiffusion Equation

  Weiping Bu, Xueqin Zhang, Weizhi Liao, Yue Zhao

  2026-03-16

  60 60

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

  Daxin Nie, Weihua Deng

  2024-11-13

  13005 1256 Pages:1502-1525

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

  Dongyang Shi, Houchao Zhang

  2024-04-09

  26292 1981 Pages:979-998

• On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications

  Jiajie Li, Shengfeng Zhu

  2022-10-06

  37707 3055 Pages:231-257

• A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm

  Yuping Zeng, Feng Wang, Zhifeng Weng, Hanzhang Hu

  2021-10-15

  40786 3130 Pages:755-776

• Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

  Yujie Li, Chuanju Xu

  2025-06-18

  579 55 Pages:670–699

• Superconvergence Analysis for Time-Fractional Diffusion Equations with Nonconforming Mixed Finite Element Method

  Houchao Zhang, Dongyang Shi

  2019-04-29

  40754 3145 Pages:488-505

• Numerical Analysis of Elliptic Hemivariational Inequalities for Semipermeable Media

  Weimin Han, Ziping Huang, Cheng Wang, Wei Xu

  2019-04-29

  40647 2938 Pages:506-523

• The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems

  Tie Zhang, Datao Shi, Zhen Li

  2018-08-07

  32674 3664 Pages:689-701

• Unconditional Superconvergence Analysis of an $H^1$-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation

  Dongyang Shi, Junjun Wang

  2019-04-29

  41480 3223 Pages:437-457