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• Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

  Haili Qiao, Aijie Cheng

  2020-08-15

  48901 3153 Pages:774-785

• Convergence of Iterative Laplace Transform Methods for a System of Fractional PDEs and PIDEs Arising in Option Pricing

  Zhiqiang Zhou, Jingtang Ma & Xuemei Gao

  2021-09-02

  42306 3310 Pages:782-808

• Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection

  Xuan Zhao, Haifeng Zhang, Hong Sun

  2023-10-23

  27424 2435 Pages:886-913

• Convergence Rates of Split-Step Theta Methods for SDEs with Non-Globally Lipschitz Diffusion Coefficients

  Xiaojuan Wu, Siqing Gan

  2023-01-04

  41031 3978 Pages:59-75

• Convergence of Recent Multistep Schemes for a Forward-Backward Stochastic Differential Equation

  Jie Yang & Weidong Zhao

  2018-02-09

  36189 3236 Pages:387-404

• A Hybrid Method for Three-Dimensional Semi-Linear Elliptic Equations

  Jianguo Huang, Shengbiao Ma, Haoqin Wang

  2023-04-25

  30800 2695 Pages:420-434

• Optimal Error Estimates for a Fully Discrete Euler Scheme for Decoupled Forward Backward Stochastic Differential Equations

  Bo Gong & Weidong Zhao

  2018-03-19

  36992 3126 Pages:548-565

• Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation

  Zhousheng Ruan, Jerry Zhijian Yang & Xiliang Lu

  2018-02-09

  35790 3236 Pages:273-300

• Convergence of a Discontinuous Galerkin Method on Bakhvalov-Type Meshes for Singularly Perturbed Volterra Integro-Differential Equations

  Yige Liao, Xianbing Luo

  2025-06-18

  6834 511 Pages:770-786

• Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

  Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang, Pingwen Zhang

  2024-06-13

  29533 2046 Pages:460-489

• Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations

  Jiawei Gao & Jian Li

  2022-04-06

  49767 3372 Pages:628-648

• A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation

  Pin Lyu, Seakweng Vong & Zhibo Wang

  2021-07-02

  37100 3365 Pages:752-766

• Construction of Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix: A Maximum Entropy Rate Approach

  Xi Chen, Wai-Ki Ching, Xiao-Shan Chen, Yang Cong & Nam-Kiu Tsing

  2018-08-10

  38170 4380 Pages:132-154

• A Generalized Quasi-Boundary Value Method for an Inverse Source Problem in a Distributed Order Time-Fractional Diffusion Equation

  Wenjie Wu, Ting Wei

  2025-06-18

  6820 505 Pages:835-866

• Approximation and Generalization of DeepONets for Learning Operators Arising from a Class of Singularly Perturbed Problems

  Ting Du, Zhongyi Huang, Ye Li

  2024-09-27

  14552 1198 Pages:841-873

• Analysis and Numerical Approximation for a Nonlinear Hidden-Memory Variable-Order Fractional Stochastic Differential Equation

  Jinhong Jia, Zhiwei Yang, Xiangcheng Zheng & Hong Wang

  2022-04-06

  49837 3292 Pages:673-695

• Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

  Yongtao Zhou & Martin Stynes

  2022-04-06

  51996 3444 Pages:503-520

• A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

  Wenping Yuan, Yanping Chen, Yunqing Huang

  2020-08-15

  50379 3149 Pages:818-837

• Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations

  Siu-Long Lei, Xu Chen & Xinhe Zhang

  2018-02-09

  37703 3260 Pages:109-130

• A High-Order Difference Scheme for the Generalized Cattaneo Equation

  Seak-Weng Vong, Hong-Kui Pang & Xiao-Qing Jin

  2018-02-09

  37823 4580 Pages:170-184

• A New Preconditioned Generalised AOR Method for the Linear Complementarity Problem Based on a Generalised Hadjidimos Preconditioner

  Cuiyu Liu & Chenliang Li

  2018-02-09

  37975 4353 Pages:94-107

• Fast Algorithms for the Anisotropic LLT Model in Image Denoising

  Zhi-Feng Pang, Li-Lian Wang & Yu-Fei Yang

  2018-02-09

  39139 4661 Pages:264-283

• Postprocessing-Based a Posteriori Error Estimation for Spectral Galerkin Approximations of Fourth-Order Boundary Value Problems

  Zhe Li, Tao Sun, Lijun Yi

  2025-01-07

  12537 1255 Pages:314-343

• An Adaptive Projection Algorithm for Solving Nonlinear Monotone Equations with Convex Constraints

  Zhi Zhao, Xiao-Qing Jin, Teng-Teng Yao

  2024-06-13

  23549 1851 Pages:579-600

• Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrödinger Equation with Wave Operator

  Yue Feng, Yichen Guo, Yongjun Yuan

  2023-10-23

  26787 2460 Pages:980-1003

• Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity

  Weizhu Bao, Yue Feng, Ying Ma

  2023-06-12

  113269 218007 Pages:646-670

• Error Estimates of Finite Difference Methods for the Fractional Poisson Equation with Extended Nonhomogeneous Boundary Conditions

  Xinyan Li

  2023-01-04

  39354 3449 Pages:194-212