Kids Library Home

Welcome to the Kids' Library!

Search for books, movies, music, magazines, and more.

     
Available items only
Electronic Book
Author Henry, J. (Jacques), author.

Title Factorization of boundary value problems using the invariant embedding method / Jacques Henry, Angel M. Ramos.

Publication Info. London : ISTE Press Ltd ; Kidlington, Oxford : Elsevier Ltd, [2016]
©2016

Copies

Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Description 1 online resource (xvii, 238 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Mathematics and statistics
Mathematics and statistics series (ISTE)
Bibliography Includes bibliographical references (pages 223-236) and index.
Note Print version record.
Contents Front Cover ; Dedication ; Factorization of Boundary Value Problems Using the Invariant Embedding Method; Copyright ; Contents; Preface; Chapter 1. Presentation of the Formal Computation of Factorization; 1.1. Definition of the model problem and its functional framework; 1.2. Direct invariant embedding; 1.3. Backward invariant embedding; 1.4. Internal invariant embedding; Chapter 2. Justification of the Factorization Computation; 2.1. Functional framework; 2.2. Semi-discretization; 2.3. Passing to the limit; Chapter 3. Complements to the Model Problem.
3.1. An alternative method for obtaining the factorization3.2. Other boundary conditions; 3.3. Explicitly taking into account the boundary conditions and the right-hand side; 3.4. Periodic boundary conditions in x; 3.5. An alternative but unstable formulation; 3.6. Link with the Steklov-Poincaré operator; 3.7. Application of the Schwarz kernel theorem: link with Green's functions and Hadamard's formula; Chapter 4. Interpretation of the Factorization through a Control Problem; 4.1. Formulation of problem (P0) in terms of optimal control.
4.2. Summary of results on the decoupling of optimal control problems4.3. Summary of results of A. Bensoussan on Kalman optimal filtering; 4.4. Parabolic regularization for the factorization of elliptic boundary value problems; Chapter 5. Factorization of the Discretized Problem; 5.1. Introduction and problem statement; 5.2. Application of the factorization method to problem (Ph); 5.3. A second method of discretization; 5.4. A third possibility: centered scheme; 5.5. Row permutation; 5.6. Case of a discretization of the section by finite elements; Chapter 6. Other Problems.
6.1. General second-order linear elliptic problems6.2. Systems of coupled boundary value problems; 6.3. Linear elasticity system; 6.4. Problems of order higher than 2; 6.5. Stokes problems; 6.6. Parabolic problems; Chapter 7. Other Shapes of Domain; 7.1. Domain generalization: transformation preserving orthogonal coordinates; 7.2. Quasi-cylindrical domains with normal velocity fields; 7.3. Sweeping the domain by surfaces of arbitrary shape; Chapter 8. Factorization by the QR Method; 8.1. Normal equation for problem (P0) in section 1.1.
8.2. Factorization of the normal equation by invariant embedding8.3. The QR method; Chapter 9. Representation Formulas for Solutions of Riccati Equations; 9.1. Representation formulas; 9.2. Diagonalization of the two-point boundary value problem; 9.3. Homographic representation of P(x); 9.4. Factorization of problem (P0) with a Dirichlet condition at x =0; Appendix. Gaussian LU Factorization as a Method of Invariant Embedding; A.1. Invariant embedding for a linear system; A.2. Block tridiagonal systems; Bibliography; Index; Back Cover.
Subject Boundary value problems.
Factorization (Mathematics)
Invariant imbedding.
Problèmes aux limites.
Factorisation.
Plongement invariant.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Boundary value problems
Factorization (Mathematics)
Invariant imbedding
Added Author Ramos, Angel M., author.
Other Form: Print version: Henry, J. (Jacques). Factorization of boundary value problems using the invariant embedding method. London : ISTE Press Ltd ; Kidlington, Oxford : Elsevier Ltd, [2016] 1785481436 (OCoLC)945105395
ISBN 9780081010907 (electronic bk.)
0081010907 (electronic bk.)
1785481436
9781785481437
Standard No. AU@ 000059643857
AU@ 000066135468
AU@ 000068127234
CHNEW 001013939
DEBSZ 482475188
GBVCP 879419881
UKMGB 018075588

 
    
Available items only