Fast Runge-Kutta approximation of inhomogeneous parabolic equations:
Abstract: "The result after N steps of an implicit Runge-Kutta time discretization of an inhomogeneous linear parabolic differential equation is computed, up to accuracy [epsilon], by solving only O(log N log 1/[epsilon]) linear systems of equations. We derive, analyse, and numerically illustra...
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2005
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| Series: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2005,10 |
| Subjects: | |
| Summary: | Abstract: "The result after N steps of an implicit Runge-Kutta time discretization of an inhomogeneous linear parabolic differential equation is computed, up to accuracy [epsilon], by solving only O(log N log 1/[epsilon]) linear systems of equations. We derive, analyse, and numerically illustrate this fast algorithm." |
| Physical Description: | 13 S. |
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| id | DE-604.BV019767663 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013093873 |
| oclc_num | 60248909 |
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| physical | 13 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Fast Runge-Kutta approximation of inhomogeneous parabolic equations María López-Fernández ... Fast Runge Kutta approximation of inhomogeneous parabolic equations Berlin Konrad-Zuse-Zentrum für Informationstechnik 2005 13 S. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2005,10 Abstract: "The result after N steps of an implicit Runge-Kutta time discretization of an inhomogeneous linear parabolic differential equation is computed, up to accuracy [epsilon], by solving only O(log N log 1/[epsilon]) linear systems of equations. We derive, analyse, and numerically illustrate this fast algorithm." Differential equations, Parabolic Runge-Kutta formulas López-Fernández, María Sonstige oth Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2005,10 (DE-604)BV013191727 2005,10 |
| spellingShingle | Fast Runge-Kutta approximation of inhomogeneous parabolic equations Differential equations, Parabolic Runge-Kutta formulas |
| title | Fast Runge-Kutta approximation of inhomogeneous parabolic equations |
| title_alt | Fast Runge Kutta approximation of inhomogeneous parabolic equations |
| title_auth | Fast Runge-Kutta approximation of inhomogeneous parabolic equations |
| title_exact_search | Fast Runge-Kutta approximation of inhomogeneous parabolic equations |
| title_full | Fast Runge-Kutta approximation of inhomogeneous parabolic equations María López-Fernández ... |
| title_fullStr | Fast Runge-Kutta approximation of inhomogeneous parabolic equations María López-Fernández ... |
| title_full_unstemmed | Fast Runge-Kutta approximation of inhomogeneous parabolic equations María López-Fernández ... |
| title_short | Fast Runge-Kutta approximation of inhomogeneous parabolic equations |
| title_sort | fast runge kutta approximation of inhomogeneous parabolic equations |
| topic | Differential equations, Parabolic Runge-Kutta formulas |
| topic_facet | Differential equations, Parabolic Runge-Kutta formulas |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT lopezfernandezmaria fastrungekuttaapproximationofinhomogeneousparabolicequations |