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, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial applications 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 comprehensive 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.
1000940219
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, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial applications 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 comprehensive 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.
109.99
In Stock
5
1
Polynomial Approximation of Differential Equations
305
Polynomial Approximation of Differential Equations
305Paperback(Softcover reprint of the original 1st ed. 1992)
$109.99
109.99
In Stock
Product Details
| ISBN-13: | 9783662138786 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 07/02/2013 |
| Series: | Lecture Notes in Physics Monographs , #8 |
| Edition description: | Softcover reprint of the original 1st ed. 1992 |
| Pages: | 305 |
| Product dimensions: | 6.69(w) x 9.61(h) x 0.03(d) |
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