Polynomial approximation of differential equations
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spe...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in physics. M, Monographs
8 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Polynomial approximation of differential equations, Daniele Funaro, 1992, Berlin, Springer-Verlag, 1 vol. (X-305 p.), Lecture notes in physics, 3-540-55230-8 • Polynomial Approximation of Differential Equations, Texte imprimé, 9783662138779 • Polynomial Approximation of Differential Equations, Texte imprimé, 9783662138786 |
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| 100 | 1 | |a Funaro, Daniele, |d 1958- | |
| 245 | 1 | 0 | |a Polynomial approximation of differential equations |c Daniele Funaro. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in physics. M, Monographs |v 8 |x 1619-3407 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Special Families of Polynomials -- Orthogonality -- Numerical Integration -- Transforms -- Functional Spaces -- Results in Approximation Theory -- Derivative Matrices -- Eigenvalue Analysis -- Ordinary Differential Equations -- Time-Dependent Problems -- Domain-Decomposition Methods -- Examples -- An Example in Two Dimensions. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required. | ||
| 650 | |a Polynômes orthogonaux | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 022881220 |t Polynomial approximation of differential equations |f Daniele Funaro |d 1992 |c Berlin |n Springer-Verlag |p 1 vol. (X-305 p.) |s Lecture notes in physics |z 3-540-55230-8 | |
| 776 | 0 | |t Polynomial Approximation of Differential Equations |b Texte imprimé |z 9783662138779 | |
| 776 | 0 | |t Polynomial Approximation of Differential Equations |b Texte imprimé |z 9783662138786 | |
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