Factorization Method for Boundary Value Problems by Invariant Embedding

Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. Develops the invariant embedding technique for boundary value problemsMakes a link between control theory, boundary value problems and the Gauss factorizationPresents a new theory for successively solving linear elliptic boundary value problemsIncludes a transformation in two initial value problems that are uncoupled INDICE: 1. Introduction2. Presentation of Computer Algebra Factorization3. Justification of Computing Factorization4. Supplements to the Case Model5. Interpretation of Factorization using a Control Problem6. Factorization of a Discretized Problem 7. Other Problems8. Other types of areas9. Factorization by the QR method10. Representation formulas of the solution of a Riccati equation

• ISBN: 978-1-78548-143-7
• Editorial: ISTE Press - Elsevier
• Encuadernacion: Cartoné
• Páginas: 200
• Fecha Publicación: 01/07/2016
• Nº Volúmenes: 1
• Idioma: Inglés