Transcription of NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL EQUATIONS
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NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL EQUATIONS
numerical SOLUTION OFORDINARY DIFFERENTIALEQUATIONSK endall Atkinson, Weimin Han, David StewartUniversity of IowaIowa City, IowaA JOHN WILEY & SONS, INC., PUBLICATIONC opyrightc 2009 by John Wiley & Sons, Inc. All rights by John Wiley & Sons, Inc., Hoboken, New simultaneously in part of this publication may be reproduced, stored in a retrieval system, or transmitted in any formor by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except aspermitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the priorwritten permission of the Publisher, or authorization through payment of the appropriate per-copy fee tothe Copyright Clearance Center, Inc.
10.3 Numerical issues: higher index problems 169 10.4 Backward differentiation methods for DAEs 173 10.4.1 Index 1 problems 173 10.4.2 Index 2 problems 174 10.5 Runge–Kutta methods for DAEs 175 10.5.1 Index 1 problems 176 10.5.2 Index 2 problems 179 10.6 Index three problems from mechanics 181
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