文档介绍：Frontiers in Mathematics
Advisory Editorial Board
Leonid Bunimovich (ia Institute of Technology, Atlanta)
Benoît Perthame (Université Pierre et Marie Curie, Paris)
Laurent Saloff-Coste (Cornell University, Ithaca)
Igor Shparlinski (Macquarie University, New South Wales)
Wolfgang Sprössig (TU Bergakademie Freiberg)
Cédric Villani (Institut Henri Poincaré, Paris)
Ivan Gavrilyuk
Volodymyr Makarov
Vitalii Vasylyk
Exponentially Convergent
Algorithms for
Abstract Differential
Equations
Ivan Gavrilyuk Volodymyr Makarov
Staatliche Studienakademie Thüringen - Vitalii Vasylyk
Berufsakademie Eisenach Institute of Mathematics
University of Cooperative Education National Academy of Sciences of Ukraine
Am Wartenberg 2 3 Tereshchenkivska St.
99817 Eisenach 01601 Kyiv- 4
Germany Ukraine
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2010 Mathematics Subject Classification: 65J10, 65M70, 35 K90, 35L90
ISBN 978-3-0348-0118-8 e-ISBN 978-3-0348-0119-5
DOI -3-0348-0119-5
Library of Congress Control Number: 2011932317
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Preface
The present book is based on the authors’ works during recent years on construct-
ing exponentially convergent algorithms and algorithms without accuracy satura-
tion for operator equations and differential equations with operator coefficients in
Banach space. It is addressed to mathematicians as well as engineering, graduate
and post-graduate students who are intere