A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

Abstract In this paper, we mainly use a proper orthogonal decomposition (POD) to reduce the order of the coefficient vectors of the solutions for the classical collocation spectral (CS) method of two-dimensional (2D) Sobolev equations. We first establish a reduced-order extrapolating collocation spe...

Full description

Bibliographic Details
Main Authors: Shiju Jin, Zhendong Luo
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Proper orthogonal decomposition
Classic collocation spectral method
Sobolev equations
Reduced-order extrapolating collocation spectral method
Existence, stability, and convergence
Online Access:http://link.springer.com/article/10.1186/s13661-019-1176-2

Internet

http://link.springer.com/article/10.1186/s13661-019-1176-2

Similar Items