Time-dependent Partial Differential Equations and Their Numerical Solution:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2001
|
| Schriftenreihe: | Lectures in Mathematics. ETH Zürich, Department of Mathematics Research Institute of Mathematics
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-0348-8229-3 |
| Beschreibung: | In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems |
| Umfang: | 1 Online-Ressource (VII, 82p) |
| ISBN: | 9783034882293 9783764361259 |
| DOI: | 10.1007/978-3-0348-8229-3 |
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| id | DE-604.BV042422073 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:46Z |
| institution | BVB |
| isbn | 9783034882293 9783764361259 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857490 |
| oclc_num | 863737674 |
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| physical | 1 Online-Ressource (VII, 82p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Lectures in Mathematics. ETH Zürich, Department of Mathematics Research Institute of Mathematics |
| spellingShingle | Kreiss, Heinz-Otto Time-dependent Partial Differential Equations and Their Numerical Solution Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4044779-0 |
| title | Time-dependent Partial Differential Equations and Their Numerical Solution |
| title_auth | Time-dependent Partial Differential Equations and Their Numerical Solution |
| title_exact_search | Time-dependent Partial Differential Equations and Their Numerical Solution |
| title_full | Time-dependent Partial Differential Equations and Their Numerical Solution by Heinz-Otto Kreiss, Hedwig Ulmer Busenhart |
| title_fullStr | Time-dependent Partial Differential Equations and Their Numerical Solution by Heinz-Otto Kreiss, Hedwig Ulmer Busenhart |
| title_full_unstemmed | Time-dependent Partial Differential Equations and Their Numerical Solution by Heinz-Otto Kreiss, Hedwig Ulmer Busenhart |
| title_short | Time-dependent Partial Differential Equations and Their Numerical Solution |
| title_sort | time dependent partial differential equations and their numerical solution |
| topic | Mathematics Mathematics, general Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Numerisches Verfahren Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-0348-8229-3 |
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