Optimal low-dimensional dynamical approximations-Reference-Cited by-同舟云学术

Optimal low-dimensional dynamical approximations

Published:1990 Issue:3 Volume:48 Page:535-548
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Sirovich L.,Knight B. W.,Rodriguez J. D.

Abstract

We present a method for determining optimal coordinates for the representation of an inertial manifold of a dynamical system. The condition of optimality is precisely defined and is shown to lead to a unique basis system. The method is applied to the Neumann and Dirichlet problems for the Ginzburg-Landau equation. Substantial reduction in the size of the dynamical system, without loss of accuracy is obtained from the method.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1990-48-03/S0033-569X-1990-1074969-6/S0033-569X-1990-1074969-6.pdf

Reference24 articles.

1. Applied Mathematical Sciences;Kevorkian, J.,1981

2. Synergetics

3. Elimination of fast variables;van Kampen, N. G.;Phys. Rep.,1985

4. Cambridge Mathematical Library;Chapman, Sydney,1990

5. Applied Mathematical Sciences;Cercignani, Carlo,1988

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