Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepp...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bürger, Raimund [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science + Business Media B.V. 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Springer Netherlands, 1967, 60(2007), 3-4 vom: 17. Aug., Seite 365-385 |
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| Übergeordnetes Werk: |
volume:60 ; year:2007 ; number:3-4 ; day:17 ; month:08 ; pages:365-385 |
| Links: |
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| DOI / URN: |
10.1007/s10665-007-9162-6 |
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| 520 | |a Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. | ||
| 650 | 4 | |a Discontinuous flux | |
| 650 | 4 | |a Multiresolution schemes | |
| 650 | 4 | |a Strongly degenerate parabolic equations | |
| 650 | 4 | |a Thresholded wavelet transform | |
| 650 | 4 | |a Thresholding strategy | |
| 700 | 1 | |a Ruiz, Ricardo |4 aut | |
| 700 | 1 | |a Schneider, Kai |4 aut | |
| 700 | 1 | |a Sepúlveda, Mauricio A. |4 aut | |
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10.1007/s10665-007-9162-6 doi (DE-627)OLC2074040210 (DE-He213)s10665-007-9162-6-p DE-627 ger DE-627 rakwb eng 510 VZ Bürger, Raimund verfasserin aut Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media B.V. 2007 Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. Discontinuous flux Multiresolution schemes Strongly degenerate parabolic equations Thresholded wavelet transform Thresholding strategy Ruiz, Ricardo aut Schneider, Kai aut Sepúlveda, Mauricio A. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 60(2007), 3-4 vom: 17. Aug., Seite 365-385 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:60 year:2007 number:3-4 day:17 month:08 pages:365-385 https://doi.org/10.1007/s10665-007-9162-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 60 2007 3-4 17 08 365-385 |
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10.1007/s10665-007-9162-6 doi (DE-627)OLC2074040210 (DE-He213)s10665-007-9162-6-p DE-627 ger DE-627 rakwb eng 510 VZ Bürger, Raimund verfasserin aut Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media B.V. 2007 Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. Discontinuous flux Multiresolution schemes Strongly degenerate parabolic equations Thresholded wavelet transform Thresholding strategy Ruiz, Ricardo aut Schneider, Kai aut Sepúlveda, Mauricio A. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 60(2007), 3-4 vom: 17. Aug., Seite 365-385 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:60 year:2007 number:3-4 day:17 month:08 pages:365-385 https://doi.org/10.1007/s10665-007-9162-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 60 2007 3-4 17 08 365-385 |
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10.1007/s10665-007-9162-6 doi (DE-627)OLC2074040210 (DE-He213)s10665-007-9162-6-p DE-627 ger DE-627 rakwb eng 510 VZ Bürger, Raimund verfasserin aut Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media B.V. 2007 Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. Discontinuous flux Multiresolution schemes Strongly degenerate parabolic equations Thresholded wavelet transform Thresholding strategy Ruiz, Ricardo aut Schneider, Kai aut Sepúlveda, Mauricio A. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 60(2007), 3-4 vom: 17. Aug., Seite 365-385 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:60 year:2007 number:3-4 day:17 month:08 pages:365-385 https://doi.org/10.1007/s10665-007-9162-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 60 2007 3-4 17 08 365-385 |
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10.1007/s10665-007-9162-6 doi (DE-627)OLC2074040210 (DE-He213)s10665-007-9162-6-p DE-627 ger DE-627 rakwb eng 510 VZ Bürger, Raimund verfasserin aut Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media B.V. 2007 Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. Discontinuous flux Multiresolution schemes Strongly degenerate parabolic equations Thresholded wavelet transform Thresholding strategy Ruiz, Ricardo aut Schneider, Kai aut Sepúlveda, Mauricio A. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 60(2007), 3-4 vom: 17. Aug., Seite 365-385 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:60 year:2007 number:3-4 day:17 month:08 pages:365-385 https://doi.org/10.1007/s10665-007-9162-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 60 2007 3-4 17 08 365-385 |
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10.1007/s10665-007-9162-6 doi (DE-627)OLC2074040210 (DE-He213)s10665-007-9162-6-p DE-627 ger DE-627 rakwb eng 510 VZ Bürger, Raimund verfasserin aut Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media B.V. 2007 Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. Discontinuous flux Multiresolution schemes Strongly degenerate parabolic equations Thresholded wavelet transform Thresholding strategy Ruiz, Ricardo aut Schneider, Kai aut Sepúlveda, Mauricio A. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 60(2007), 3-4 vom: 17. Aug., Seite 365-385 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:60 year:2007 number:3-4 day:17 month:08 pages:365-385 https://doi.org/10.1007/s10665-007-9162-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 60 2007 3-4 17 08 365-385 |
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Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux |
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Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. © Springer Science + Business Media B.V. 2007 |
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Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. © Springer Science + Business Media B.V. 2007 |
| abstract_unstemmed |
Abstract A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is based on a finite volume discretization using the Engquist–Osher approximation for the flux and explicit time-stepping. An adaptive multiresolution scheme with cell averages is then used to speed up CPU time and meet memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree, for the sake of data compression and to facilitate navigation. Applications to traffic flow with driver reaction and a clarifier–thickener model illustrate the efficiency of this method. © Springer Science + Business Media B.V. 2007 |
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Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux |
| url |
https://doi.org/10.1007/s10665-007-9162-6 |
| remote_bool |
false |
| author2 |
Ruiz, Ricardo Schneider, Kai Sepúlveda, Mauricio A. |
| author2Str |
Ruiz, Ricardo Schneider, Kai Sepúlveda, Mauricio A. |
| ppnlink |
129595748 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s10665-007-9162-6 |
| up_date |
2024-07-03T20:41:10.580Z |
| _version_ |
1803591898209714176 |
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