Derivation of numerical methods using computer algebra

dc.contributor.authorGander, Walter
dc.contributor.authorGruntz, Dominik
dc.date.accessioned2025-09-03T07:13:33Z
dc.date.issued1999-01
dc.description.abstractThe use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and Gaussian integration formulas, as well as Runge-Kutta formulas, are presented. For the derivations, the computer algebra system Maple is used.
dc.identifier.doi10.1137/s003614459935093x
dc.identifier.issn0036-1445
dc.identifier.issn1095-7200
dc.identifier.urihttps://irf.fhnw.ch/handle/11654/52502
dc.issue3
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.ispartofSIAM Review
dc.spatialPhiladelphia
dc.subjectNumerical methods
dc.subjectComputer algebra
dc.subjectMaple
dc.subjectQuadrature formulas
dc.subjectNonlinear equations
dc.subjectFinite elements
dc.subjectRayleigh–Ritz
dc.subjectGalerkin method
dc.subjectRunge–Kutta method
dc.subject.ddc004 - Computer Wissenschaften, Internet
dc.subject.ddc510 - Mathematik
dc.titleDerivation of numerical methods using computer algebra
dc.type01A - Beitrag in wissenschaftlicher Zeitschrift
dc.volume41
dspace.entity.typePublication
fhnw.InventedHereNo
fhnw.ReviewTypeAnonymous ex ante peer review of a complete publication
fhnw.affiliation.hochschuleHochschule für Informatik FHNWde_CH
fhnw.affiliation.institutInstitut für Mobile und Verteilte Systemede_CH
fhnw.openAccessCategoryClosed
fhnw.pagination577-593
fhnw.publicationStatePublished
relation.isAuthorOfPublication755e3e7b-10ac-4e21-8501-b16ffd376741
relation.isAuthorOfPublication755e3e7b-10ac-4e21-8501-b16ffd376741
relation.isAuthorOfPublication.latestForDiscovery755e3e7b-10ac-4e21-8501-b16ffd376741
Dateien

Lizenzbündel

Gerade angezeigt 1 - 1 von 1
Vorschaubild
Name:
license.txt
Größe:
2.66 KB
Format:
Item-specific license agreed upon to submission
Beschreibung:
Herunterladen
Sammlung
Institut für Mobile und Verteilte Systeme