supported by NSFC(Grant No.11601490).Research of Y.Xu is supported by NSFC(Grant No.12071455).
In[20],a semi-implicit spectral deferred correction(SDC)method was proposed,which is efficient for highly nonlinear partial differential equations(PDEs).The semi-implicit SDC method in[20]is based on first-order time ...
supported by the Natural Science Foundation of Shandong Province(ZR2021MA001);the Fundamental Research Funds for the Central Universities(20CX05011A);supported by National Natural Science Foundation of China Grant 11801569;supported by NSF grant DMS-1818467 and Simons Foundation 961585.
In this paper,we apply local discontinuous Galerkin(LDG)methods for pattern formation dynamical model in polymerizing actin focks.There are two main dificulties in designing effective numerical solvers.First of all,th...
In this paper, we extend the reduced basis methods for parameter dependent problems to the parareal in time algorithm introduced by Lions et al. [12] and solve a nonlinear evolutionary parabolic partial differential e...
This project is partially supported by Natural Science Foundation of Gansu Province under Grant 3ZS041-A25-011 ;by National Natural Science Foundation under Grant 10471056.
Based on the finite difference discretization of partial differential equations, we propose a kind of semi-implicit θ-schemes of incremental unknowns type for the heat equation with time-dependent coefficients. The s...