文档介绍:øédeGenèveSectiondeMathématiques2–4rueduLièvre1211Genève4SwitzerlandErnst.******@.******@ørsettNorwegianUniversityofScienceandTechnology(NTNU)******@-3-540-56670-0e-ISBN978-3-540-78862--3-540-78862-putationalMathematicsISSN0179-3632LibraryofCongressControlNumber:93007847MathematicsSubjectClassification(2000):65Lxx,34A50©1993,1987Springer-,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,,1965,initscurrentversion,,registerednames,trademarks,,evenintheabsenceofaspecificstatement,:WMXDesignGmbH,HeidelbergTypesetting:bytheauthorsProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigPrintedonacid-ettablelecturesonRunge-Kuttamethods,giveninJune1970attheUniversityofInnsbruck,introducedustothissubjectwhich,sincethen,,IhaveneverseenanAuthor’sPrefacewhichhadanypurposebutone—tofurnishreasonsforthepublicationoftheBook.(MarkTwain)Gauss’dictum,“pletednooneshouldbeabletoseeanytraceofthescaffolding,”isoftenusedbymathematiciansasanexcuseforneglectingthemotivationbehindtheirownworkandthehistoryo