books library land

Lectures Problems And Solutions For Ordinary Differential Equations PDF

Book Description:

Lectures Problems And Solutions For Ordinary Differential Equations PDF

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.

Book Details:

Lectures Problems And Solutions For Ordinary Differential Equations PDF

Author Daniele Funaro
Isbn 3662138786
File size 3 Mb
Year 2013
Pages 305
Language English
File format PDF
Category Mathematics

Download the Book
Buy Book From Amazon

Add comment

Categories

Your Header Sidebar area is currently empty. Hurry up and add some widgets.