Romberg integration: A symbolic approach with mathematica
| dc.contributor.author | Yazici,A. | |
| dc.contributor.author | Ergenç,T. | |
| dc.contributor.author | Altas,I. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | Software Engineering | |
| dc.date.accessioned | 2024-07-05T15:41:55Z | |
| dc.date.available | 2024-07-05T15:41:55Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | Higher order approximations of an integral can be obtained from lower order ones in a systematic way. For 1-D integrals Romberg Integration is an example which is based upon the composite trapezoidal rule and the well-known Euler-Maclaurin expansion of the error. In this work, Mathematica is utilized to illustrate the method and the underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment. © Springer-Verlag Berlin Heidelberg 2003. | en_US |
| dc.identifier.doi | 10.1007/3-540-44860-8_71 | |
| dc.identifier.isbn | 978-354044860-0 | |
| dc.identifier.issn | 0302-9743 | |
| dc.identifier.scopus | 2-s2.0-35248866185 | |
| dc.identifier.uri | https://doi.org/10.1007/3-540-44860-8_71 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3518 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Romberg integration: A symbolic approach with mathematica | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Yazıcı, Ali | |
| gdc.author.institutional | Ergenç, Tanıl | |
| gdc.author.scopusid | 8514029100 | |
| gdc.author.scopusid | 6602979400 | |
| gdc.author.scopusid | 6603812263 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Yazici A., Computer Engineering Department, Atilim University, Ankara, Turkey; Ergenç T., Mathematics Department, Middle East Technical University, Ankara, Turkey; Altas I., School of Information Studies, Wagga Wagga, NSW, Australia | en_US |
| gdc.description.endpage | 700 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 691 | en_US |
| gdc.description.volume | 2657 | en_US |
| gdc.scopus.citedcount | 0 | |
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