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Numerical Analysis

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Numerical AnalysisNumerical AnalysisL. Ridgway ScottPRINCETON UNIVERSITY PRESSPRINCETON AND OXFORDCopyrightc 2011 by Princeton University PressPublished by Princeton University Press, 41 William Street,Princeton, New Jersey 08540In the United Kingdom: Princeton University Press, 6 OxfordStreet,Woodstock, Oxfordshire OX20 Rights ReservedLibrary of Congress Control Number: 2010943322ISBN: 978-0-691-14686-7British Library Cataloging-in-Publication Data is availableThe publisher would like to acknowledge the author of this volume for type-setting this book using LATEX and Dr. Janet Englund and Peter Scott forproviding the cover photographPrinted on acid-free paper Printed in the United States of America10 9 8 7 6 5 4 3 2 1DedicationTo the memory of Ed Conway1who, along with his colleagues at TulaneUniversity, provided a stable, adaptive, and inspirational starting point formy Daire Conway, III (1937 1985) was a student of Eberhard Friedrich FerdinandHopf at the University of Indiana.

16.2 Existence and uniqueness of solutions 258 16.3 Basic discretization methods 262 16.4 Convergence of discretization methods 266 16.5 More reading 269 16.6 Exercises 269 16.7 Solutions 271 Chapter 17. Higher-order ODE Discretization Methods 275 17.1 Higher-order discretization 276 17.2 Convergence conditions 281 17.3 Backward ...

  Analysis, Numerical, Numerical analysis, Existence, Uniqueness, Existence and uniqueness

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