The concept of stability in numerical mathematics:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2014
|
| Schriftenreihe: | Springer series in computational mathematics
45 |
| Schlagwörter: | |
| Links: | https://ebookcentral.proquest.com/lib/thnuernberg/detail.action?docID=1697966 https://doi.org/10.1007/978-3-642-39386-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027196030&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027196030&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 1 Online-Ressource (xv, 188 Seiten) |
| ISBN: | 9783642393853 9783642393860 |
| DOI: | 10.1007/978-3-642-39386-0 |
Internformat
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Datensatz im Suchindex
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|---|---|
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| adam_text | THE CONCEPT OF STABILITY IN NUMERICAL MATHEMATICS
/ HACKBUSCH, WOLFGANG
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION
STABILITY OF FINITE ALGORITHMS
QUADRATURE
INTERPOLATION
ORDINARY DIFFERENTIAL EQUATIONS
INSTATIONARY PARTIAL DIFFERENCE EQUATIONS
STABILITY FOR DISCRETISATIONS OF ELLIPTIC PROBLEMS
STABILITY FOR DISCRETISATIONS OF INTEGRAL EQUATIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE CONCEPT OF STABILITY IN NUMERICAL MATHEMATICS
/ HACKBUSCH, WOLFGANG
: 2014
ABSTRACT / INHALTSTEXT
IN THIS BOOK, THE AUTHOR COMPARES THE MEANING OF STABILITY IN DIFFERENT
SUBFIELDS OF NUMERICAL MATHEMATICS. CONCEPT OF STABILITY IN NUMERICAL
MATHEMATICS OPENS BY EXAMINING THE STABILITY OF FINITE ALGORITHMS. A
MORE PRECISE DEFINITION OF STABILITY HOLDS FOR QUADRATURE AND
INTERPOLATION METHODS, WHICH THE FOLLOWING CHAPTERS FOCUS ON. THE
DISCUSSION THEN PROGRESSES TO THE NUMERICAL TREATMENT OF ORDINARY
DIFFERENTIAL EQUATIONS (ODES). WHILE ONE-STEP METHODS FOR ODES ARE
ALWAYS STABLE, THIS IS NOT THE CASE FOR HYPERBOLIC OR PARABOLIC
DIFFERENTIAL EQUATIONS, WHICH ARE INVESTIGATED NEXT. THE FINAL CHAPTERS
DISCUSS STABILITY FOR DISCRETISATIONS OF ELLIPTIC DIFFERENTIAL EQUATIONS
AND INTEGRAL EQUATIONS. IN COMPARISON AMONG THE SUBFIELDS WE DISCUSS THE
PRACTICAL IMPORTANCE OF STABILITY AND THE POSSIBLE CONFLICT BETWEEN
HIGHER CONSISTENCY ORDER AND STABILITY.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:54:11Z |
| institution | BVB |
| isbn | 9783642393853 9783642393860 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027196030 |
| oclc_num | 871604126 |
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| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in computational mathematics |
| series2 | Springer series in computational mathematics |
| spellingShingle | Hackbusch, Wolfgang 1948- The concept of stability in numerical mathematics Springer series in computational mathematics Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Stabilität (DE-588)4056693-6 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4042805-9 (DE-588)4056693-6 |
| title | The concept of stability in numerical mathematics |
| title_auth | The concept of stability in numerical mathematics |
| title_exact_search | The concept of stability in numerical mathematics |
| title_full | The concept of stability in numerical mathematics Wolfgang Hackbusch |
| title_fullStr | The concept of stability in numerical mathematics Wolfgang Hackbusch |
| title_full_unstemmed | The concept of stability in numerical mathematics Wolfgang Hackbusch |
| title_short | The concept of stability in numerical mathematics |
| title_sort | the concept of stability in numerical mathematics |
| topic | Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Stabilität (DE-588)4056693-6 gnd |
| topic_facet | Differentialgleichung Numerische Mathematik Stabilität |
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