Bookcover of Applications of Pseudospectral Methods
Booktitle:

Applications of Pseudospectral Methods

Delay Systems, Delay Optimal Control Problems, Fractional Differential Equations and Variational Problems

LAP LAMBERT Academic Publishing (2014-10-15 )

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ISBN-13:

978-3-659-61734-8

ISBN-10:
3659617342
EAN:
9783659617348
Book language:
English
Blurb/Shorttext:
During the past few years, pseudospectral or orthogonal collocation methods have been successfully used to solve a wide variety of applied problems, owing to its efficiency and high order of accuracy. The three most commonly used sets of collocation points are Gauss, Gauss-Radau, and Gauss-Lobatto points. On bounded domains, pseudospectral methods are usually based on Jacobi polynomials or even nonclassical orthogonal polynomials which provide a greater flexibility. Pseudospectral methods can be categorized into global (single-interval) and adaptive (multiple-interval) schemes. Whilst global pseudospectral methods provide exponential convergence for smooth solutions, adaptive pseudospectral methods increase the utility of pseudospectral methods for non-smooth solutions. The goal of this book is to explain some new applications of classical and nonclassical pseudospectral methods (both global and adaptive) for the numerical solution of classic and fractional variational problems, time-delay systems and their optimal control as well as for solving fractional differential equations.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Mohammad Maleki
Number of pages:
172
Published on:
2014-10-15
Stock:
Available
Category:
Mathematics
Price:
64.90 €
Keywords:
collocation, Optimal control, Adaptive, delay, Legendre Polynomials, Pseudospectral method, Nonclassical orthogonal polynomials, Fractional derivative, variational problems

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