Exact and truncated difference schemes for boundary value ODEs
 Responsibility
 by Ivan P. Gavrilyuk ... [et al.].
 Language
 English.
 Imprint
 [Basel, Switzerland] : Birkhäuser : Springer Basel AG, c2011.
 Physical description
 xi, 247 ; 25 cm.
 Series
 International series of numerical mathematics ; v. 159.
Access
Creators/Contributors
 Contributor
 Gavrilyuk, Ivan P.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [241]247) and index.
 Contents

 Preface. 1 Introduction and a short historical overview. 2 2point difference schemes for systems of ODEs. 3 3point difference schemes for scalar monotone ODEs. 4 3point difference schemes for systems of monotone ODEs. 5 Difference schemes for BVPs on the halfaxis. 6 Exercises and solutions. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the wellstudied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskiilike techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for selfstudy. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and selfcontained introduction to numerical methods for solving boundary value ODEs.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Title Variation
 Difference schemes for boundary value ODEs
 Series
 International series of numerical mathematics ; 159
 ISBN
 9783034801065 (acidfree paper)
 3034801068 (acidfree paper)
 9783034801072 (eISBN)
 3034801076 (eISBN)