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Exact and Truncated Difference Schemes for Boundary Value ODEs

Previously published in hardcover
BuchKartoniert, Paperback
247 Seiten
Englisch
Springererschienen am27.11.20132011
The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
BuchGebunden
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThe book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy.
ZusammenfassungThis comprehensive primer on compact finite difference methods for solving boundary value ODEs with high accuracy includes coverage of various a posteriori error estimators which are ideal for use in adaptive algorithms as important building blocks.

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- 1 Introduction and a short historical overview.- 2 2-point difference schemes for systems of ODEs.- 3 3-point difference schemes for scalar monotone ODEs.- 4 3-point difference schemes for systems of monotone ODEs.- 5 Difference schemes for BVPs on the half-axis.- 6 Exercises and solutions.- Index.mehr
Kritik
From the reviews:

"The authors present a first unified theory of finite difference methods for the solution of linear and nonlinear boundary value problems (BVPs) of ordinary differential equations (ODEs). ... The book is addressed to graduate students of mathematics and physics, as well as to working scientists and engineers as a self-study tool and reference. Researchers working with BVBs will find appropriate and effective numerical algorithms for their needs. ... also be used as a textbook for a one- or-two- semester course on numerical methods for ODEs." (Razvan Raducanu, Zentralblatt MATH, Vol. 1226, 2012)
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