Search Results

• A Time-Splitting Fourier-Collocation Method for Computing the Nonlinear Dirac Equation with Perfectly Matched Layers

  Dandan Wang, Chunping Pang, Liping Wu, Hanquan Wang

  2026-03-31

  77 52

• A Fast Collocation Method with Inscribed Polygonal Approximation of the Peridynamic Neighborhood for Bond-Based Linear Viscoelastic Peridynamic Models

  Jie Ma, Zhiwei Yang, Ning Du

  2025-01-07

  14430 1236 Pages:290-313

• The Random Feature Method for Time-Dependent Problems

  Jing-Run Chen, Weinan E, Yi-Xin Luo

  2023-06-12

  41150 4598 Pages:435-463 Open-access

• A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays

  Zhong-Qing Wang, Chang-Tao Sheng, Hong-Li Jia, Dao Li

  2018-09-17

  43817 3354 Pages:233-260

• A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations

  Shan Li, Guilei Sun, Yuling Guo, Zhongqing Wang

  2022-04-06

  49946 3289 Pages:649-672

• Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels

  Jingjun Zhao, Teng Long, Yang Xu

  2019-01-07

  40422 5109 Pages:67-86

• Sparse Grid Collocation Method for an Optimal Control Problem Involving a Stochastic Partial Differential Equation with Random Inputs

  Nary Kim, Hyung-Chun Lee

  2018-02-09

  36595 4274 Pages:166-188

• An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations

  Swam Singh, Suruchi Singh, Rajni Arora

  2019-01-07

  39516 5215 Pages:195-211

• Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model

  Heping Ma, Yubo Yang

  2018-02-09

  35897 3309 Pages:337-352

• Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

  Longbin Wu, Qiang Ma, Xiaohua Ding

  2021-05-26

  45659 3165 Pages:560-579

• Improved Random Feature Method for Continuous Solution Reconstruction from Sparse Observation

  Qingchun Li, Qinwu Xu

  2025-10-29

  5201 179 Pages:204-226

• Distributed Control of the Stochastic Burgers Equation with Random Input Data

  Hyung-Chun Lee, Yun Nam

  2018-02-09

  38255 4848 Pages:89-108

• Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations

  Tengteng Cui, Sheng Chen, Yujian Jiao

  2020-11-24

  46033 4508 Pages:43-62

• Stochastic Collocation Methods via Minimisation of the Transformed L1-Penalty

  Ling Guo, Jing Li, Yongle Liu

  2018-09-17

  37745 3078 Pages:566-585

• Laguerre and Hermite Collocation Methods for Unbounded Domains

  Chao Zhang, Hanfeng Yao, Michael D. Samson

  2018-09-17

  40934 4964 Pages:24-43

• Stochastic Collocation via $l_1$-Minimisation on Low Discrepancy Point Sets with Application to Uncertainty Quantification

  Yongle Liu, Ling Guo

  2018-02-09

  37113 3220 Pages:171-191

• Schwartz Duality for Singularly Perturbed Differential Equations with Chebyshev Spectral Methods

  Eunwoo Heo, Kwanghyuk Park, Jae-Hun Jung

  2025-11-14

  7719 199 Pages:388-412

• Preconditioned CG Methods for a Variable-Coefficient Nonlocal Diffusion Model

  Yu-Hong Ran, Min Yan

  2022-02-21

  44532 3186 Pages:421-434

• Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems

  Yufeng Wang, Cong Xu, Min Yang, Jin Zhang

  2024-01-02

  30180 3164 Pages:104-123

• Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for Convection-Diffusion and Convection-Dispersion Equations

  Meiqi Tan, Juan Cheng, Chi-Wang Shu

  2023-06-12

  41226 3504 Pages:464-498 Open-access

• High-Order Energy-Preserving Methods for Stochastic Poisson Systems

  Xiuyan Li, Qiang Ma, Xiaohua Ding

  2019-06-03

  41690 3163 Pages:465-484