Title :
A Numerical Experiment on Lie Group Method
Author_Institution :
Math. & Phys. Div., Beijing Inst. of Graphic Commun., Beijing, China
Abstract :
For the propagation acoustic wave in inhomogeneous, we need to study Helmholtz equation, one of the difficulty is to cope with the big angular problem in the research of the propagation acoustic wave, so it is necessary to study the numerical method of isospectral problem. An numerical experiment of Newton iteration on Lie group of isospectral is introduced in this paper.
Keywords :
Helmholtz equations; Lie groups; Newton method; acoustic wave propagation; numerical analysis; Helmholtz equation; Lie group; Newton iteration; acoustic wave propagation; isospectral problem; numerical method; Acoustic waves; Algebra; Differential equations; Eigenvalues and eigenfunctions; Equations; Lattices; Symmetric matrices; Lie group; Newton iteration; isospectral flow;
Conference_Titel :
Distributed Computing and Applications to Business Engineering and Science (DCABES), 2010 Ninth International Symposium on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-7539-1
DOI :
10.1109/DCABES.2010.20
