Introduction to Partial Differential Equations with MATLAB:
Gespeichert in:
Beteilige Person: | |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
Schriftenreihe: | Applied and Numerical Harmonic Analysis
|
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-1-4612-1754-1 |
Beschreibung: | Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter |
Umfang: | 1 Online-Ressource (XV, 541 p) |
ISBN: | 9781461217541 9781461272663 |
DOI: | 10.1007/978-1-4612-1754-1 |
Internformat
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Datensatz im Suchindex
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discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-1754-1 |
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illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:41Z |
institution | BVB |
isbn | 9781461217541 9781461272663 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855322 |
oclc_num | 1047958183 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XV, 541 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Birkhäuser Boston |
record_format | marc |
series2 | Applied and Numerical Harmonic Analysis |
spellingShingle | Cooper, Jeffery Introduction to Partial Differential Equations with MATLAB Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Computational Mathematics and Numerical Analysis Informatik Mathematik MATLAB (DE-588)4329066-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
subject_GND | (DE-588)4329066-8 (DE-588)4044779-0 |
title | Introduction to Partial Differential Equations with MATLAB |
title_auth | Introduction to Partial Differential Equations with MATLAB |
title_exact_search | Introduction to Partial Differential Equations with MATLAB |
title_full | Introduction to Partial Differential Equations with MATLAB by Jeffery Cooper |
title_fullStr | Introduction to Partial Differential Equations with MATLAB by Jeffery Cooper |
title_full_unstemmed | Introduction to Partial Differential Equations with MATLAB by Jeffery Cooper |
title_short | Introduction to Partial Differential Equations with MATLAB |
title_sort | introduction to partial differential equations with matlab |
topic | Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Computational Mathematics and Numerical Analysis Informatik Mathematik MATLAB (DE-588)4329066-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
topic_facet | Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Computational Mathematics and Numerical Analysis Informatik Mathematik MATLAB Partielle Differentialgleichung |
url | https://doi.org/10.1007/978-1-4612-1754-1 |
work_keys_str_mv | AT cooperjeffery introductiontopartialdifferentialequationswithmatlab |