{"title":"Methoden zur Lösung von Integral und Differentialgleichungen","authors":"E. Kaucher","doi":"10.1515/9783112576229-015","DOIUrl":"https://doi.org/10.1515/9783112576229-015","url":null,"abstract":"On donne une vue d'ensemble sur les concepts de base pour la solution numerique avec verification du resultat, de problemes dans des espaces de fonctions, comme la solution de systemes d'equations differentielles, d'equations integrales, de systemes lineaires infinis, d'equations dependant de parametres, etc","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131336792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Vom Problem zum Einschließungsalgorit hmus","authors":"D. Cordes, W. Krämer","doi":"10.1515/9783112576229-012","DOIUrl":"https://doi.org/10.1515/9783112576229-012","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133425691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Einschließung der Lösung von linearen Gleichungssystemen auf Vektorrechnern","authors":"G. Schumacher","doi":"10.1515/9783112576229-016","DOIUrl":"https://doi.org/10.1515/9783112576229-016","url":null,"abstract":"A l'aide d'une implementation prototype d'un solvent avec autoverification de systemes d'equations lineaires, on montre les difficultes principales lors de l'emploi de processeurs vectoriels, en particulier sous l'aspect de la precision","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129257147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Übersicht über neue Programmiersprachen für wissenschaftliches Rechnen","authors":"R. Klatte","doi":"10.1515/9783112576229-003","DOIUrl":"https://doi.org/10.1515/9783112576229-003","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126294870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Praktikum „Einschließung bei Differentialgleichungen\"","authors":"R. Lohner","doi":"10.1515/9783112576229-014","DOIUrl":"https://doi.org/10.1515/9783112576229-014","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128269377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Einschließungen bei Anfangs- und Randwertaufgaben gewöhnlicher Differentialgleichungen","authors":"R. Lohner","doi":"10.1515/9783112576229-013","DOIUrl":"https://doi.org/10.1515/9783112576229-013","url":null,"abstract":"On presente des methodes de calcul automatique de bornes pour la solution de problemes aux valeurs initiales et valeurs limites. Ces bornes sont fiables parce qu'on tient compte de toutes les erreurs possibles. Pour des conditions initiales, on applique des versions en termes d'intervalles de la methode un pas pour des conditions aux limites, on utilise des versions en termes d'intervalles de la methode du tir. Une regularite suffisante est la seule condition pour l'emploi de ces methodes","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126368525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PASCAL-SC Eine PASCAL-Erweiterung für wissenschaftliches Rechnen","authors":"M. Neaga","doi":"10.1515/9783112576229-005","DOIUrl":"https://doi.org/10.1515/9783112576229-005","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129351878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Grundbegriffe der Intervallrechnung","authors":"G. Mayer","doi":"10.1515/9783112576229-007","DOIUrl":"https://doi.org/10.1515/9783112576229-007","url":null,"abstract":"Quelques principes de l'arithmetique des intervalles sont rassembles qui sont importants pour la comprehension de methodes d'encadrement. Des notions auxiliaires comme diametre et distance sont introduites. On applique une methode de Newton, basee sur des intervalles a l'encadrement de l'image d'une fonction reelle. On considere brievement une theorie vectorielle et matricielle ainsi qu'une generalisation au plan complexe","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128618708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Esprit-Projekt DIAMOND","authors":"J. Wolff von Gudenberg","doi":"10.1515/9783112576229-017","DOIUrl":"https://doi.org/10.1515/9783112576229-017","url":null,"abstract":"","PeriodicalId":295973,"journal":{"name":"Wissenschaftliches Rechnen mit Ergebnisverifikation","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121634660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}