Application of an asymptotic method for the numerical integration of singularly perturbed equations
โ Scribed by V.V. Larchenko
- Publisher
- Elsevier Science
- Year
- 1976
- Weight
- 710 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
We use asymptotic analysis to construct a domain decomposition method for a time-dependent singularly perturbed system with turning points. Together with the other numerical techniques, we develop an algorithm, which can provide accurate and efficient numerical solutions for the system.
A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to the asymptotic solution of a set of integral-