Numerical treatment of inverse problems in differential and integral equations

1984 ◽  
Vol 7 (3) ◽  
pp. 298-300 ◽  
Author(s):  
F.W. Roush
Keyword(s):  
Inverse Problems ◽  
Integral Equations ◽  
Numerical Treatment ◽  
Differential And Integral Equations

An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Mario Durán ◽  
Jean-Claude Nédélec ◽  
Sebastián Ossandón
Keyword(s):  
Numerical Method ◽  
Integral Equations ◽  
High Frequency ◽  
High Accuracy ◽  
Integral Representations ◽  
Stability And Convergence ◽  
Symmetric Matrices ◽  
Frequency Interval ◽  
Numerical Treatment ◽  
The Stability

An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.

scholarly journals Qualitative Theory of Functional Differential and Integral Equations 2016

2017 ◽  
Vol 2017 ◽  
pp. 1-2
Author(s):  
Cemil Tunç ◽  
Bingwen Liu ◽  
Luís R. Sanchez ◽  
Mohsen Alimohammady ◽  
Octavian G. Mustafa ◽  
...  
Keyword(s):  
Integral Equations ◽  
Qualitative Theory ◽  
Functional Differential ◽  
Differential And Integral Equations
Sign in / Sign up

Export Citation Format

Share Document