Numerical Solution of Ordinary Differential Equations
for Classical, Relativistic and Nano Systems
1st Edition
Published on 13. December 2005
Book
Paperback/Softback
X, 206 pages
978-3-527-40610-4 (ISBN)
Description
This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises.
More details
Edition
1. Auflage
Language
English
Place of publication
Berlin
Germany
Target group
Professional and scholarly
Studenten der Physik, Studenten der Mathematik, Studenten für Maschinenbau, Dozenten der Physik, Dozenten für Maschinenbau
Illustrations
111
98 s/w Abbildungen, 13 s/w Tabellen
Dimensions
Height: 24 cm
Width: 17 cm
Thickness: 1.2 cm
Weight
424 gr
ISBN-13
978-3-527-40610-4 (9783527406104)
Schweitzer Classification
Other editions
Additional editions
Donald Greenspan
Numerical Solution of Ordinary Differential Equations
for Classical, Relativistic and Nano Systems
E-Book
09/2008
1st Edition
Wiley-VCH
€78.99
Available for download
Person
Donald Greenspan is Professor of Mathematics at the University of Texas, where he received the Distinguished Research Award in 1983. An experienced lecturer, he has authored 200 papers and 14 books, many of them textbooks on computational mathematics. His assignments included positions at Harvard, Stanford, Berkeley and Princeton.
Content
I Euler's Method
II Runge-Kutta Methods
III The Method of Taylor Expansions
IV Large Second Order Systems with Application to Nano Systems
V Completely Conservative, Covariant Numerical Methodology
VI Instability
VII Numerical Solution of Tridiagonal Linear Algebraic Systems and Related Nonlinear Systems
VIII Approximate Solution of Boundary Value Problems
IX Special Relativistic Motion
X Special Topics
Appendix - Basic Matrix Operations
Bibliography
II Runge-Kutta Methods
III The Method of Taylor Expansions
IV Large Second Order Systems with Application to Nano Systems
V Completely Conservative, Covariant Numerical Methodology
VI Instability
VII Numerical Solution of Tridiagonal Linear Algebraic Systems and Related Nonlinear Systems
VIII Approximate Solution of Boundary Value Problems
IX Special Relativistic Motion
X Special Topics
Appendix - Basic Matrix Operations
Bibliography