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001 ocn962753358
003 OCoLC
005 20190328114817.0
006 m o d
007 cr cnu---unuuu
008 161116s2016 enka ob 001 0 eng d
040 _aN$T
_beng
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019 _a962840668
_a964529140
_a967028571
_a967571204
_a969416542
_a975020862
_a975078454
_a978769254
_a1066466898
020 _a9780081010907
_q(electronic bk.)
020 _a0081010907
_q(electronic bk.)
020 _z1785481436
020 _z9781785481437
035 _a(OCoLC)962753358
_z(OCoLC)962840668
_z(OCoLC)964529140
_z(OCoLC)967028571
_z(OCoLC)967571204
_z(OCoLC)969416542
_z(OCoLC)975020862
_z(OCoLC)975078454
_z(OCoLC)978769254
_z(OCoLC)1066466898
050 4 _aQA379
_b.H46 2016eb
072 7 _aMAT
_x005000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
082 0 4 _a515/.35
_223
100 1 _aHenry, J.
_q(Jacques),
_eauthor.
245 1 0 _aFactorization of boundary value problems using the invariant embedding method /
_h[electronic resource]
_cJacques Henry, Angel M. Ramos.
264 1 _aLondon :
_bISTE Press Ltd ;
_aKidlington, Oxford :
_bElsevier Ltd,
_c2016
264 4 _c�2016
300 _a1 online resource (xvii, 238 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMathematics and statistics
504 _aIncludes bibliographical references (pages 223-236) and index.
588 0 _aPrint version record.
505 0 _aFront 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.
505 8 _a3.1. 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.
505 8 _a4.2. 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.
505 8 _a6.1. 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.
505 8 _a8.2. 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.
650 0 _aBoundary value problems.
650 0 _aFactorization (Mathematics)
650 0 _aInvariant imbedding.
650 7 _aMATHEMATICS
_xCalculus.
_2bisacsh
650 7 _aMATHEMATICS
_xMathematical Analysis.
_2bisacsh
650 7 _aBoundary value problems.
_2fast
_0(OCoLC)fst00837122
650 7 _aFactorization (Mathematics)
_2fast
_0(OCoLC)fst00919711
650 7 _aInvariant imbedding.
_2fast
_0(OCoLC)fst00977977
655 4 _aElectronic books.
655 0 _aElectronic book.
700 1 _aRamos, Angel M.,
_eauthor.
776 0 8 _iPrint version:
_aHenry, J. (Jacques).
_tFactorization of boundary value problems using the invariant embedding method.
_dLondon : ISTE Press Ltd ; Kidlington, Oxford : Elsevier Ltd, [2016]
_z1785481436
_w(OCoLC)945105395
830 0 _aMathematics and statistics series (ISTE)
856 4 0 _3ScienceDirect
_uhttp://www.sciencedirect.com/science/book/9781785481437
999 _c247463
_d247463