The Concept of Stability in Numerical Mathematics
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability h
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Wolfgang Hackbusch
The Concept of Stability in Numerical Mathematics
Springer Series in Computational Mathematics Editorial Board R. Bank R.L. Graham J. Stoer R. Varga H. Yserentant
For further volumes: http://www.springer.com/series/797
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Wolfgang Hackbusch
The Concept of Stability in Numerical Mathematics
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Wolfgang Hackbusch MPI für Mathematik in den Naturwissenschaften Leipzig, Germany
ISSN 0179-3632 ISBN 978-3-642-39385-3 ISBN 978-3-642-39386-0 (eBook) DOI 10.1007/978-3-642-39386-0 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014931977
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Dedicated to Jana and J¨orn
Preface
Usually, the subject of a book on numerical mathematics pertains to a certain field of application or a certain numerical method. In this book we proceed in a different way. Stability is a concept that appears in various fields of numerical mathematics (as well as in other parts of mathematics). Although in each subfield stability is defined differently, there is a common meaning for this term, roughly described by the fact that perturbations are not amplifying the result in a dangerous way. In examining different fields of numerical mathematics con
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