Computational algorithms for ordinary differential equations

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We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of interval arithmetic. We illustrate the presented method by computing solution sets for two explicit systems.
Original languageEnglish
Title of host publicationProceedings of the International Conference on Differential Equations
Subtitle of host publicationEQUADIFF 99
EditorsBernold Fiedler, Konrad Groger, Jurgen Sprekels
Place of PublicationSingapore
PublisherWorld Scientific Publishing
Number of pages6
Publication statusPublished - 4 Oct 1999
Externally publishedYes

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