Chebyshev approximation for wave packet dynamics: better than expected
Abstract: "The aim of this work is to study the accuracy and stability of the Chebyshev approximation method as a time-discretization for wave packet dynamics. For this frequently used discretization we introduce estimates of the approximation and round-off error. These estimates mathematically...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
|
| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,47 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "The aim of this work is to study the accuracy and stability of the Chebyshev approximation method as a time-discretization for wave packet dynamics. For this frequently used discretization we introduce estimates of the approximation and round-off error. These estimates mathematically confirm the stability of the Chebyshev approximation with respect to round-off errors, especially for very large stepsizes. But the results also disclose threads to the stability due to large spatial dimensions. All theoretical statements are illustrated by numerical simulations of the harmonic quantum oscillator." |
| Beschreibung: | 16 S. graph. Darst. |
Internformat
MARC
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| 035 | |a (DE-599)BVBBV017187950 | ||
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| 100 | 1 | |a Nettesheim, Peter |d 1967- |e Verfasser |0 (DE-588)122035984 |4 aut | |
| 245 | 1 | 0 | |a Chebyshev approximation for wave packet dynamics |b better than expected |c Peter Nettesheim ; Wilhelm Huisinga ; Christof Schütte |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 16 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 1996,47 | |
| 520 | 3 | |a Abstract: "The aim of this work is to study the accuracy and stability of the Chebyshev approximation method as a time-discretization for wave packet dynamics. For this frequently used discretization we introduce estimates of the approximation and round-off error. These estimates mathematically confirm the stability of the Chebyshev approximation with respect to round-off errors, especially for very large stepsizes. But the results also disclose threads to the stability due to large spatial dimensions. All theoretical statements are illustrated by numerical simulations of the harmonic quantum oscillator." | |
| 650 | 4 | |a Chebyshev approximation | |
| 650 | 4 | |a Fourier transformations | |
| 650 | 4 | |a Molecular dynamics | |
| 650 | 4 | |a Wave mechanics | |
| 700 | 1 | |a Huisinga, Wilhelm |e Verfasser |4 aut | |
| 700 | 1 | |a Schütte, Christof |d 1966- |e Verfasser |0 (DE-588)1049564030 |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,47 |w (DE-604)BV004801715 |9 1996,47 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010359009 | |
Datensatz im Suchindex
| _version_ | 1820882503726006272 |
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| adam_text | |
| any_adam_object | |
| author | Nettesheim, Peter 1967- Huisinga, Wilhelm Schütte, Christof 1966- |
| author_GND | (DE-588)122035984 (DE-588)1049564030 |
| author_facet | Nettesheim, Peter 1967- Huisinga, Wilhelm Schütte, Christof 1966- |
| author_role | aut aut aut |
| author_sort | Nettesheim, Peter 1967- |
| author_variant | p n pn w h wh c s cs |
| building | Verbundindex |
| bvnumber | BV017187950 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37759353 (DE-599)BVBBV017187950 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017187950 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010359009 |
| oclc_num | 37759353 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 16 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 | Nettesheim, Peter 1967- Verfasser (DE-588)122035984 aut Chebyshev approximation for wave packet dynamics better than expected Peter Nettesheim ; Wilhelm Huisinga ; Christof Schütte Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 16 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,47 Abstract: "The aim of this work is to study the accuracy and stability of the Chebyshev approximation method as a time-discretization for wave packet dynamics. For this frequently used discretization we introduce estimates of the approximation and round-off error. These estimates mathematically confirm the stability of the Chebyshev approximation with respect to round-off errors, especially for very large stepsizes. But the results also disclose threads to the stability due to large spatial dimensions. All theoretical statements are illustrated by numerical simulations of the harmonic quantum oscillator." Chebyshev approximation Fourier transformations Molecular dynamics Wave mechanics Huisinga, Wilhelm Verfasser aut Schütte, Christof 1966- Verfasser (DE-588)1049564030 aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,47 (DE-604)BV004801715 1996,47 |
| spellingShingle | Nettesheim, Peter 1967- Huisinga, Wilhelm Schütte, Christof 1966- Chebyshev approximation for wave packet dynamics better than expected Chebyshev approximation Fourier transformations Molecular dynamics Wave mechanics |
| title | Chebyshev approximation for wave packet dynamics better than expected |
| title_auth | Chebyshev approximation for wave packet dynamics better than expected |
| title_exact_search | Chebyshev approximation for wave packet dynamics better than expected |
| title_full | Chebyshev approximation for wave packet dynamics better than expected Peter Nettesheim ; Wilhelm Huisinga ; Christof Schütte |
| title_fullStr | Chebyshev approximation for wave packet dynamics better than expected Peter Nettesheim ; Wilhelm Huisinga ; Christof Schütte |
| title_full_unstemmed | Chebyshev approximation for wave packet dynamics better than expected Peter Nettesheim ; Wilhelm Huisinga ; Christof Schütte |
| title_short | Chebyshev approximation for wave packet dynamics |
| title_sort | chebyshev approximation for wave packet dynamics better than expected |
| title_sub | better than expected |
| topic | Chebyshev approximation Fourier transformations Molecular dynamics Wave mechanics |
| topic_facet | Chebyshev approximation Fourier transformations Molecular dynamics Wave mechanics |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT nettesheimpeter chebyshevapproximationforwavepacketdynamicsbetterthanexpected AT huisingawilhelm chebyshevapproximationforwavepacketdynamicsbetterthanexpected AT schuttechristof chebyshevapproximationforwavepacketdynamicsbetterthanexpected |