Search Results

• 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

  14178 1161 Pages:290-313

• The Random Feature Method for Time-Dependent Problems

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

  2023-06-12

  40909 4430 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

  43620 3282 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

  49764 3217 Pages:649-672

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

  Jingjun Zhao, Teng Long & Yang Xu

  2019-01-07

  40177 4984 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

  36449 4202 Pages:166-188

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

  Swarn Singh, Suruchi Singh & Rajni Arora

  2019-01-07

  39253 5108 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

  35734 3244 Pages:337-352

• Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

  Longbin Wu, Qiang Ma, Xiaohua Ding

  2021-05-26

  45456 3105 Pages:560-579

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

  Qingchun Li, Qinwu Xu

  2025-10-29

  4518 63 Pages:204-226

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

  Hyung-Chun Lee & Yun Nam

  2018-02-09

  38078 4718 Pages:89-108

• Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations

  Tengteng Cui, Sheng Chen, Yujian Jiao

  2020-11-24

  45831 4406 Pages:43-62

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

  Ling Guo, Jing Li & Yongle Liu

  2018-09-17

  37546 2993 Pages:566-585

• Laguerre and Hermite Collocation Methods for Unbounded Domains

  Chao Zhang, Hanfeng Yao & Michael D.Samson

  2018-09-17

  40732 4804 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

  36941 3168 Pages:171-191

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

  Eunwoo Heo, Kwanghyuk Park, Jae-Hun Jung

  2025-11-14

  1805 56 Pages:388-412

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

  Yu-Hong Ran, Min Yan

  2022-02-21

  44350 3131 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

  29866 2919 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

  41006 3366 Pages:464-498 Open-access

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

  Xiuyan Li, Qiang Ma & Xiaohua Ding

  2019-06-03

  41484 3110 Pages:465-484