DocumentCode
2214880
Title
Spectral Method Using Hermite Functions for Semilinear Wave Equations with Strong Damping
Author
Huang, Yu ; Xu, Chenglong ; Wang, Yingwei
Author_Institution
Dept. of Math., Tongji Univ., Shanghai, China
fYear
2009
fDate
26-28 Dec. 2009
Firstpage
401
Lastpage
403
Abstract
We consider spectral method using Hermite functions for semilinear wave equation with strong damping. A spectral scheme is constructed. We then prove the stability and the convergence of the scheme. Numerical results indicating the effectiveness of this method.
Keywords
Hermitian matrices; nonlinear differential equations; numerical stability; wave equations; Hermite functions; nonlinear partial differential equation; scheme convergence; scheme stability; semilinear wave equations; spectral method; strong damping; Convergence; Damping; Educational institutions; Information science; Mathematics; Partial differential equations; Physics; Polynomials; Scientific computing; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-4909-5
Type
conf
DOI
10.1109/ICISE.2009.1084
Filename
5454825
Link To Document