3 papers
math.NA2024
Exponential integrator Fourier Galerkin methods for semilinear parabolic equations
Jianguo Huang, Yuejin Xu
In this paper, in order to improve the spatial accuracy, the exponential integrator Fourier Galerkin method (EIFG) is proposed for solving semilinear parabolic equations in rectang…
math.NA2024
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization
Lili Ju, Hao Tian, Junke Lu
Existing nonlocal diffusion models are predominantly classified into two categories: bond-based models, which involve a single-fold integral and usually simulate isotropic diffusio…
math.NA2024
A high-order multi-time-step scheme for bond-based peridynamics
Chenguang Liu, Jie Sun, Hao Tian +2
A high-order multi-time-step (MTS) scheme for the bond-based peridynamic (PD) model, an extension of classical continuous mechanics widely used for analyzing discontinuous problems…