Geometric Properties of Runge-Kutta Discretizations for Index 2 Differential Algebraic Systems

Lade...
Vorschaubild
Dateien
preprint_128.pdf
preprint_128.pdfGröße: 342.71 KBDownloads: 114
Datum
2000
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Publikationstyp
Preprint
Publikationsstatus
Published
Erschienen in
Zusammenfassung

We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's). We compare the asymptotic features of the numerical and the exact solutions. It is shown that Runge-Kutta methods satisfying the first order constraint condition of the DAE reproduce the geometric properties of the continuous system correctly. The proof combines embedding techniques of index 2 differential algebraic equations and ordinary differential equations with some invariant manifolds results of Nipp, Stoffer [12]. The results support the favourable behavior of these Runge-Kutta methods applied to index 2 DAE's for t >= 0.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Datensätze
Zitieren
ISO 690SCHROPP, Johannes, 2000. Geometric Properties of Runge-Kutta Discretizations for Index 2 Differential Algebraic Systems
BibTex
@unpublished{Schropp2000Geome-712,
  year={2000},
  title={Geometric Properties of Runge-Kutta Discretizations for Index 2 Differential Algebraic Systems},
  author={Schropp, Johannes}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/712">
    <dc:format>application/pdf</dc:format>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/712/1/preprint_128.pdf"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's). We compare the asymptotic features of the numerical and the exact solutions. It is shown that Runge-Kutta methods satisfying the first order constraint condition of the DAE reproduce the geometric properties of the continuous system correctly. The proof combines embedding techniques of index 2 differential algebraic equations and ordinary differential equations with some invariant manifolds results of Nipp, Stoffer [12]. The results support the favourable behavior of these Runge-Kutta methods applied to index 2 DAE's for t &gt;= 0.</dcterms:abstract>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:35Z</dc:date>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:35Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/712/1/preprint_128.pdf"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Schropp, Johannes</dc:creator>
    <dcterms:title>Geometric Properties of Runge-Kutta Discretizations for Index 2 Differential Algebraic Systems</dcterms:title>
    <dc:contributor>Schropp, Johannes</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/712"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2000</dcterms:issued>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen