Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
|
| Series: | Preprint SC
1996,36 |
| Subjects: | |
| Abstract: | Abstract: "Recently subdivision techniques have been introduced in the numerical investigation of complicated temporal behavior of dynamical systems. In this article we intertwine the subdivision process with the computation of invariant measures and propose an adaptive scheme for the box refinement which is based on the combination of these methods. Using this new algorithm the numerical effort for the computation of box coverings is in general significantly reduced, and we illustrate this fact by several numerical examples." |
| Physical Description: | 11 S. graph. Darst. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV017186727 | ||
| 003 | DE-604 | ||
| 005 | 20031006 | ||
| 007 | t| | ||
| 008 | 030603s1996 xx d||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)37759350 | ||
| 035 | |a (DE-599)BVBBV017186727 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 100 | 1 | |a Dellnitz, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |c Michael Dellnitz ; Oliver Junge |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 11 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,36 | |
| 520 | 3 | |a Abstract: "Recently subdivision techniques have been introduced in the numerical investigation of complicated temporal behavior of dynamical systems. In this article we intertwine the subdivision process with the computation of invariant measures and propose an adaptive scheme for the box refinement which is based on the combination of these methods. Using this new algorithm the numerical effort for the computation of box coverings is in general significantly reduced, and we illustrate this fact by several numerical examples." | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 700 | 1 | |a Junge, Oliver |d 1968- |e Verfasser |0 (DE-588)114972680 |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,36 |w (DE-604)BV004801715 |9 1996,36 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010357907 | |
Record in the Search Index
| _version_ | 1820981149343678464 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Dellnitz, Michael Junge, Oliver 1968- |
| author_GND | (DE-588)114972680 |
| author_facet | Dellnitz, Michael Junge, Oliver 1968- |
| author_role | aut aut |
| author_sort | Dellnitz, Michael |
| author_variant | m d md o j oj |
| building | Verbundindex |
| bvnumber | BV017186727 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37759350 (DE-599)BVBBV017186727 |
| discipline | Informatik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV017186727</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20031006</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">030603s1996 xx d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)37759350</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017186727</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dellnitz, Michael</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior</subfield><subfield code="c">Michael Dellnitz ; Oliver Junge</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Konrad-Zuse-Zentrum für Informationstechnik</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">11 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin</subfield><subfield code="v">1996,36</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "Recently subdivision techniques have been introduced in the numerical investigation of complicated temporal behavior of dynamical systems. In this article we intertwine the subdivision process with the computation of invariant measures and propose an adaptive scheme for the box refinement which is based on the combination of these methods. Using this new algorithm the numerical effort for the computation of box coverings is in general significantly reduced, and we illustrate this fact by several numerical examples."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (Mathematics)</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Junge, Oliver</subfield><subfield code="d">1968-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)114972680</subfield><subfield code="4">aut</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik Berlin</subfield><subfield code="t">Preprint SC</subfield><subfield code="v">1996,36</subfield><subfield code="w">(DE-604)BV004801715</subfield><subfield code="9">1996,36</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010357907</subfield></datafield></record></collection> |
| id | DE-604.BV017186727 |
| illustrated | Illustrated |
| indexdate | 2025-01-11T19:15:52Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010357907 |
| oclc_num | 37759350 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 11 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Dellnitz, Michael Verfasser aut An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior Michael Dellnitz ; Oliver Junge Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 11 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,36 Abstract: "Recently subdivision techniques have been introduced in the numerical investigation of complicated temporal behavior of dynamical systems. In this article we intertwine the subdivision process with the computation of invariant measures and propose an adaptive scheme for the box refinement which is based on the combination of these methods. Using this new algorithm the numerical effort for the computation of box coverings is in general significantly reduced, and we illustrate this fact by several numerical examples." Differentiable dynamical systems Global analysis (Mathematics) Junge, Oliver 1968- Verfasser (DE-588)114972680 aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,36 (DE-604)BV004801715 1996,36 |
| spellingShingle | Dellnitz, Michael Junge, Oliver 1968- An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior Differentiable dynamical systems Global analysis (Mathematics) |
| title | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |
| title_auth | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |
| title_exact_search | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |
| title_full | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_fullStr | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_full_unstemmed | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior Michael Dellnitz ; Oliver Junge |
| title_short | An adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |
| title_sort | an adaptive box refinement in subdivision techniques for the approximation of dynamical behavior |
| topic | Differentiable dynamical systems Global analysis (Mathematics) |
| topic_facet | Differentiable dynamical systems Global analysis (Mathematics) |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT dellnitzmichael anadaptiveboxrefinementinsubdivisiontechniquesfortheapproximationofdynamicalbehavior AT jungeoliver anadaptiveboxrefinementinsubdivisiontechniquesfortheapproximationofdynamicalbehavior |