Accession Number:

ADA056504

Title:

Singular Perturbations and Slow-Mode Approximations for Large Scale Linear Systems.

Descriptive Note:

Technical rept.,

Corporate Author:

ARIZONA UNIV TUCSON

Personal Author(s):

• O'Malley,R. E. , Jr.
• Anderson,L. R.

Report Date:

1978-06-01

Pagination or Media Count:

9.0

Abstract:

The solutions of large linear systems with slow and fast modes are well approximated away from endpoints by a slow-mode solution. This corresponds to the use of outer solutions as approximate solutions of singular perturbation problems away from boundary layer regions. This paper gives an algorithm for obtaining the slow-mode solutions, and illustrates how the slow and fast components are obtained for the initial value problem. Author

Descriptors:

• *BOUNDARY VALUE PROBLEMS
• *PERTURBATIONS
• LINEAR SYSTEMS
• MATRICES(MATHEMATICS)
• EIGENVALUES
• SOLUTIONS(GENERAL)
• DECOUPLING
• RICCATI EQUATION

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE