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|a 515/.35
|2 23
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|a Henry, J.
|q (Jacques),
|e author.
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|a Factorization of boundary value problems using the invariant embedding method /
|c Jacques Henry, Angel M. Ramos.
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| 264 |
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1 |
|a London :
|b ISTE Press Ltd ;
|a Kidlington, Oxford :
|b Elsevier Ltd,
|c [2016]
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| 264 |
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4 |
|c �2016
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| 300 |
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|a 1 online resource (xvii, 238 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Mathematics and statistics
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| 504 |
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|a Includes bibliographical references (pages 223-236) and index.
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|a Print version record.
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|a 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.
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|a 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-Poincar�e 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.
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|a 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.
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|a 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.
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|a 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.
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| 650 |
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|a Boundary value problems.
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| 650 |
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0 |
|a Factorization (Mathematics)
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| 650 |
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|a Invariant imbedding.
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| 650 |
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6 |
|a Probl�emes aux limites.
|0 (CaQQLa)201-0019897
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| 650 |
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6 |
|a Factorisation.
|0 (CaQQLa)201-0072964
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| 650 |
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6 |
|a Plongement invariant.
|0 (CaQQLa)201-0046701
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| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
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| 650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Boundary value problems
|2 fast
|0 (OCoLC)fst00837122
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| 650 |
|
7 |
|a Factorization (Mathematics)
|2 fast
|0 (OCoLC)fst00919711
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| 650 |
|
7 |
|a Invariant imbedding
|2 fast
|0 (OCoLC)fst00977977
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| 700 |
1 |
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|a Ramos, Angel M.,
|e author.
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| 776 |
0 |
8 |
|i Print version:
|a Henry, J. (Jacques).
|t Factorization of boundary value problems using the invariant embedding method.
|d London : ISTE Press Ltd ; Kidlington, Oxford : Elsevier Ltd, [2016]
|z 1785481436
|w (OCoLC)945105395
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| 830 |
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0 |
|a Mathematics and statistics series (ISTE)
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| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9781785481437
|z Texto completo
|
