Sponsored by
 
Events
News
 
[ Events ]
 
 

Activity Search
Sort out
Field
 
Year
Seminars  
 
NCTS Interdisciplinary Research Seminar
 
14:20 - 17:20, November 10, 2017 (Friday)
R304, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 304室)
Decompositional Approach to Scientific Computations (I)
Yung-Ta Li (Fu-Jen Catholic University)

Abstract:

In 1951, Alston Householder of Oak Ridge National Laboratory formalizes the decompositional approach to matrix computations. The approach is selected as one of the top 10 algorithms with the greatest influence on science, numerical analysis, and engineering in the 20th century in the January/February 2000 issue of Computing in Science and Engineering. In this talk, we will discuss the motivations, ideas, and history of some matrix decompositions including LU decomposition and singular value decompositoin. Moreover, we will present a novel numerical algorithm for solving Poisson equation designed by taking advantage of a matrix decomposition associated with the Legendre polynomials. Finally, we use some numerical examples to show the necessity of designing a viable numerical algorithm with the aid of useful matrix decompositions.



 

back to list  
 (C) 2017 National Center for Theoretical Sciences