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Field name	Details
Dewey Class	515.352
Title	Exact and Truncated Difference Schemes for Boundary Value ODEs ([Ebook]) / by Ivan Gavrilyuk, Martin Hermann, Volodymyr Makarov, Myroslav V. Kutniv.
Author	Gavrilyuk, Ivan
Added Personal Name	Hermann, Martin
	Makarov, Volodymyr
	Kutniv, Myroslav V.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer, Basel , 2011.
Physical Details	XI, 247 pages : online resource.
Series	International series of numerical mathematics ; 159
ISBN	9783034801072
Summary Note	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 well-studied 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 Samarskii-like 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 self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0107-2
Links to Related Works	Subject References: Differential equation . Mathematics . Ordinary differential equations . Authors: author . Gavrilyuk, Ivan . Hermann, Martin . Kutniv, Myroslav V. . Makarov, Volodymyr . Corporate Authors: SpringerLink (Online service) . Series: International series of numerical mathematics . Classification: 515.352 . 515.352 (DDC 23) .

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Exact and Truncated Difference Schemes for Boundary Value ODEs

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