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...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Shiju Jin, Zhendong Luo
Format:	Article
Language:	English
Published:	SpringerOpen 2019-03-01
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