Factorization of Boundary Value Problems Using the Invariant Embedding Method

✍ Scribed by Jacques Henry and Angel M. Ramos (Auth.)

Publisher: ISTE Press - Elsevier
Year: 2016
Tongue: English
Leaves: 246
Edition: 1st Edition
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Content:
Front matter,Dedication,Copyright,PrefaceEntitled to full text1 - Presentation of the Formal Computation of Factorization, Pages 1-21
2 - Justification of the Factorization Computation, Pages 23-40
3 - Complements to the Model Problem, Pages 41-67
4 - Interpretation of the Factorization through a Control Problem, Pages 69-98
5 - Factorization of the Discretized Problem, Pages 99-126
6 - Other Problems, Pages 127-168
7 - Other Shapes of Domain, Pages 169-197
8 - Factorization by the QR Method, Pages 199-211
9 - Representation Formulas for Solutions of Riccati Equations, Pages 213-220
Appendix - Gaussian LU Factorization as a Method of Invariant Embedding, Pages 221-231
Bibliography, Pages 233-236
Index, Pages 237-238

✦ Subjects

Home;Books & Journals;Mathematics;Algebra and Number Theory;Factorization of Boundary Value Problems Using the Invariant Embedding Method

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