Approximation on partially ordered sets of regular grids:
Abstract: "In this paper we analyse the approximation of functions on partially ordered sequences of regular grids. We start with the formulation of minimal requirements for useful grid transfer operators in such a partially ordered context, and we continue with the introduction of hierarchical...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1996
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1996,11 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "In this paper we analyse the approximation of functions on partially ordered sequences of regular grids. We start with the formulation of minimal requirements for useful grid transfer operators in such a partially ordered context, and we continue with the introduction of hierarchical decompositions and the identification of piecewise constant and piecewise linear approximations as special instances of the tensor product case. In the second part of the paper we derive error estimates for approximation in different norms on more-dimensional dyadic sequences of regular and sparse grids. We give special attention to a convenient notation." |
| Beschreibung: | 31 S. |
Internformat
MARC
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| 100 | 1 | |a Hemker, Pieter W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Approximation on partially ordered sets of regular grids |c P. W. Hemker ; C. Pflaum |
| 264 | 1 | |a Amsterdam |c 1996 | |
| 300 | |a 31 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1996,11 | |
| 520 | 3 | |a Abstract: "In this paper we analyse the approximation of functions on partially ordered sequences of regular grids. We start with the formulation of minimal requirements for useful grid transfer operators in such a partially ordered context, and we continue with the introduction of hierarchical decompositions and the identification of piecewise constant and piecewise linear approximations as special instances of the tensor product case. In the second part of the paper we derive error estimates for approximation in different norms on more-dimensional dyadic sequences of regular and sparse grids. We give special attention to a convenient notation." | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Multigrid methods (Numerical analysis) | |
| 650 | 4 | |a Partially ordered sets | |
| 650 | 4 | |a Topological spaces | |
| 650 | 0 | 7 | |a Approximation |0 (DE-588)4002498-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrgitterverfahren |0 (DE-588)4038376-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4155043-2 |a Forschungsbericht |2 gnd-content | |
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| 689 | 1 | 0 | |a Mehrgitterverfahren |0 (DE-588)4038376-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Pflaum, Christoph |d 1967- |e Verfasser |0 (DE-588)113828934 |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1996,11 |w (DE-604)BV010177152 |9 1996,11 | |
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Datensatz im Suchindex
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| author | Hemker, Pieter W. Pflaum, Christoph 1967- |
| author_GND | (DE-588)113828934 |
| author_facet | Hemker, Pieter W. Pflaum, Christoph 1967- |
| author_role | aut aut |
| author_sort | Hemker, Pieter W. |
| author_variant | p w h pw pwh c p cp |
| building | Verbundindex |
| bvnumber | BV011039207 |
| ctrlnum | (OCoLC)36633690 (DE-599)BVBBV011039207 |
| format | Book |
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| genre_facet | Forschungsbericht |
| id | DE-604.BV011039207 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:02:59Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007391173 |
| oclc_num | 36633690 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 31 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Hemker, Pieter W. Verfasser aut Approximation on partially ordered sets of regular grids P. W. Hemker ; C. Pflaum Amsterdam 1996 31 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1996,11 Abstract: "In this paper we analyse the approximation of functions on partially ordered sequences of regular grids. We start with the formulation of minimal requirements for useful grid transfer operators in such a partially ordered context, and we continue with the introduction of hierarchical decompositions and the identification of piecewise constant and piecewise linear approximations as special instances of the tensor product case. In the second part of the paper we derive error estimates for approximation in different norms on more-dimensional dyadic sequences of regular and sparse grids. We give special attention to a convenient notation." Approximation theory Multigrid methods (Numerical analysis) Partially ordered sets Topological spaces Approximation (DE-588)4002498-2 gnd rswk-swf Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf (DE-588)4155043-2 Forschungsbericht gnd-content Approximation (DE-588)4002498-2 s DE-604 Mehrgitterverfahren (DE-588)4038376-3 s Pflaum, Christoph 1967- Verfasser (DE-588)113828934 aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1996,11 (DE-604)BV010177152 1996,11 |
| spellingShingle | Hemker, Pieter W. Pflaum, Christoph 1967- Approximation on partially ordered sets of regular grids Approximation theory Multigrid methods (Numerical analysis) Partially ordered sets Topological spaces Approximation (DE-588)4002498-2 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4038376-3 (DE-588)4155043-2 |
| title | Approximation on partially ordered sets of regular grids |
| title_auth | Approximation on partially ordered sets of regular grids |
| title_exact_search | Approximation on partially ordered sets of regular grids |
| title_full | Approximation on partially ordered sets of regular grids P. W. Hemker ; C. Pflaum |
| title_fullStr | Approximation on partially ordered sets of regular grids P. W. Hemker ; C. Pflaum |
| title_full_unstemmed | Approximation on partially ordered sets of regular grids P. W. Hemker ; C. Pflaum |
| title_short | Approximation on partially ordered sets of regular grids |
| title_sort | approximation on partially ordered sets of regular grids |
| topic | Approximation theory Multigrid methods (Numerical analysis) Partially ordered sets Topological spaces Approximation (DE-588)4002498-2 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd |
| topic_facet | Approximation theory Multigrid methods (Numerical analysis) Partially ordered sets Topological spaces Approximation Mehrgitterverfahren Forschungsbericht |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT hemkerpieterw approximationonpartiallyorderedsetsofregulargrids AT pflaumchristoph approximationonpartiallyorderedsetsofregulargrids |