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Operator theory and numerical methods /
Recent developments in numerical computations are amazing. A lot of huge projects in applied and theoretical sciences are becoming successful by them, while similar things are happening even in the level of personal computers. Under such a situation, theoretical studies on numerical schemes are frui...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; London :
Elsevier,
�2001.
|
| Colección: | Studies in mathematics and its applications,
v. 30 |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Fujita, Hiroshi, |d 1928- | |
| 245 | 1 | 0 | |a Operator theory and numerical methods / |c Hiroshi Fujita, Norikazu Saito and Takashi Suzuki. |
| 260 | |a Amsterdam ; |a London : |b Elsevier, |c �2001. | ||
| 300 | |a 1 online resource (viii, 309 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 490 | 0 | |a Studies in mathematics and its applications, |x 0168-2024 ; |v v. 30 | |
| 504 | |a Includes commentary at chapter ends, bibliographical references (pages 275-302), and index. | ||
| 505 | 0 | 0 | |g 1. |t Elliptic boundary value problems and FEM ; |g 1.1 |t Elliptic boundary value problems -- |g 1.2 |t Ritz-Galerkin method -- |g 1.3 |t Finite element method (FEM) -- |g 1.4 |t Inverse assumption -- |g 1.5 |t L[superscript]infinity [symbol] estimate -- |g 1.6 |t L[superscript]p estimate -- |g 1.7 |t Asymptotic expansion -- |g 2. |t Semigroup theory and FEM ; |g 2.1 |t Evolutionary problems -- |g 2.2 |t Semi-discretization -- |g 2.3 |t Fractional powers -- |g 2.4 |t Full-discretization -- |g 2.5 |t Inhomogeneous equation -- |g 2.6 |t Higher accuracy -- |g 2.7 |t L[superscript]infinity [symbol] estimate -- |g 2.8 |t Hyperbolic equation |
| 505 | 8 | 0 | |g 3. |t Evolution equations and FEM ; |g 3.1 |t Generation theories -- |g 3.2 |t A priori estimates -- |g 3.3 |t Semi-discretization -- |g 3.4 |t Full-discretization -- |g 3.5 |t Alternative approach -- |g 4. |t Other methods in time discretization ; |g 4.1 |t Rational approximation of semigroups -- |g 4.2 |t Multi-step method -- |g 4.3 |t Product formula -- |g 5. |t Other methods in space discretization ; |g 5.1 |t Lumping of mass -- |g 5.2 |t Upwind finite elements -- |g 5.3 |t Mixed finite elements -- |g 5.4 |t Boundary element method (BEM) -- |g 5.5 |t Charge simulation method (CSM) |
| 505 | 8 | 0 | |g 6. |t Nonlinear problems ; |g 6.1 |t Semilinear elliptic equations -- |g 6.2 |t Semilinear parabolic equations -- |g 6.3 |t Degenerate parabolic equations -- |g 7. |t Domain decomposition method ; |g 7.1 |t Dirichlet to Neumann (DN) map -- |g 7.2 |t Dirichlet to Neumann (DN) iteration -- |g 7.3 |t Dirichlet² to Neumann² (DD-NN) iteration -- |g 7.4 |t Robin to Robin (RR) iteration -- |g 7.5 |t Exterior problem -- |g 7.6 |t The Stokes system. |
| 520 | |a Recent developments in numerical computations are amazing. A lot of huge projects in applied and theoretical sciences are becoming successful by them, while similar things are happening even in the level of personal computers. Under such a situation, theoretical studies on numerical schemes are fruitful and highly needed. The purpose of the present book is to provide some of them, particularly for schemes to solve partial differential equations. In 1991, we published an article on the finite element method applied to evolutionary problems from Elsevier Publishers (Fujita and Suzuki [148]). This book follows basically that way of description. We study various schemes from the operator theoretical point of view. Many parts are devoted to the finite element method, of which history is described in Oden [306]. We deal with elliptic and then time dependent problems in use of the semigroup theory and so forth. Some other schemes and problems are also discussed, with the later development taken also into account. We are led to believe that any scheme used practically has significant and tight structures mathematically and the converse is also true. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Numerical analysis. | |
| 650 | 6 | |a Th�eorie des op�erateurs. |0 (CaQQLa)201-0014171 | |
| 650 | 6 | |a Analyse num�erique. |0 (CaQQLa)201-0021900 | |
| 650 | 1 | 7 | |a Numerical analysis. |2 bisacsh |
| 650 | 7 | |a Numerical analysis |2 fast |0 (OCoLC)fst01041273 | |
| 650 | 7 | |a Operator theory |2 fast |0 (OCoLC)fst01046419 | |
| 650 | 7 | |a Operadores (teoria) |2 larpcal | |
| 650 | 7 | |a An�alise num�erica. |2 larpcal | |
| 700 | 1 | |a Saito, Norikazu., |e author. | |
| 700 | 1 | |a Suzuki, Takashi., |e author. | |
| 776 | 0 | 8 | |i Print version: |a Fujita, Hiroshi, 1928- |t Operator theory and numerical methods. |d Amsterdam ; London : Elsevier, 2001 |z 0444504745 |z 9780444504746 |w (OCoLC)47063004 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444504746 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=01682024&volume=30 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/01682024/30 |z Texto completo |