Analysis of finite difference schemes: for linear partial differential equations with generalized solutions
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2014
|
| Schriftenreihe: | Springer series in computational mathematics
46 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XIII, 408 S.) |
| ISBN: | 9781447154600 |
| DOI: | 10.1007/978-1-4471-5460-0 |
Internformat
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Datensatz im Suchindex
| _version_ | 1811034390616080384 |
|---|---|
| adam_text |
ANALYSIS OF FINITE DIFFERENCE SCHEMES
/ JOVANOVIC, BOSKO S.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
DISTRIBUTIONS AND FUNCTION SPACES
ELLIPTIC BOUNDARY-VALUE PROBLEMS
FINITE DIFFERENCE APPROXIMATION OF PARABOLIC PROBLEMS
FINITE DIFFERENCE APPROXIMATION OF HYPERBOLIC PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ANALYSIS OF FINITE DIFFERENCE SCHEMES
/ JOVANOVIC, BOSKO S.
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK DEVELOPS A SYSTEMATIC AND RIGOROUS MATHEMATICAL THEORY OF
FINITE DIFFERENCE METHODS FOR LINEAR ELLIPTIC, PARABOLIC AND HYPERBOLIC
PARTIAL DIFFERENTIAL EQUATIONS WITH NONSMOOTH SOLUTIONS. FINITE
DIFFERENCE METHODS ARE A CLASSICAL CLASS OF TECHNIQUES FOR THE NUMERICAL
APPROXIMATION OF PARTIAL DIFFERENTIAL EQUATIONS. TRADITIONALLY, THEIR
CONVERGENCE ANALYSIS PRESUPPOSES THE SMOOTHNESS OF THE COEFFICIENTS,
SOURCE TERMS, INITIAL AND BOUNDARY DATA, AND OF THE ASSOCIATED SOLUTION
TO THE DIFFERENTIAL EQUATION. THIS THEN ENABLES THE APPLICATION OF
ELEMENTARY ANALYTICAL TOOLS TO EXPLORE THEIR STABILITY AND ACCURACY. THE
ASSUMPTIONS ON THE SMOOTHNESS OF THE DATA AND OF THE ASSOCIATED
ANALYTICAL SOLUTION ARE HOWEVER FREQUENTLY UNREALISTIC. THERE IS A
WEALTH OF BOUNDARY – AND INITIAL – VALUE PROBLEMS, ARISING FROM
VARIOUS APPLICATIONS IN PHYSICS AND ENGINEERING, WHERE THE DATA AND THE
CORRESPONDING SOLUTION EXHIBIT LACK OF REGULARITY. IN SUCH INSTANCES
CLASSICAL TECHNIQUES FOR THE ERROR ANALYSIS OF FINITE DIFFERENCE SCHEMES
BREAK DOWN. THE OBJECTIVE OF THIS BOOK IS TO DEVELOP THE MATHEMATICAL
THEORY OF FINITE DIFFERENCE SCHEMES FOR LINEAR PARTIAL DIFFERENTIAL
EQUATIONS WITH NONSMOOTH SOLUTIONS. ANALYSIS OF FINITE DIFFERENCE
SCHEMES IS AIMED AT RESEARCHERS AND GRADUATE STUDENTS INTERESTED IN THE
MATHEMATICAL THEORY OF NUMERICAL METHODS FOR THE APPROXIMATE SOLUTION OF
PARTIAL DIFFERENTIAL EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Jovanović, Boško S. Süli, Endre |
| author_facet | Jovanović, Boško S. Süli, Endre |
| author_role | aut aut |
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| author_variant | b s j bs bsj e s es |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-5460-0 |
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| spelling | Jovanović, Boško S. Verfasser aut Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli London [u.a.] Springer 2014 1 Online-Ressource (XIII, 408 S.) txt rdacontent c rdamedia cr rdacarrier Springer series in computational mathematics 46 Finite-Differenzen-Methode (DE-588)4194626-1 gnd rswk-swf Differenzenrechnung (DE-588)4149800-8 gnd rswk-swf Differenzenrechnung (DE-588)4149800-8 s Finite-Differenzen-Methode (DE-588)4194626-1 s 1\p DE-604 Süli, Endre Verfasser aut Erscheint auch als Druck-Ausgabe Analysis of finite difference schemes (DE-604)BV041405710 Erscheint auch als Druckausgabe 978-1-4471-5459-4 Springer series in computational mathematics 46 (DE-604)BV000012004 46 https://doi.org/10.1007/978-1-4471-5460-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927905&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927905&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jovanović, Boško S. Süli, Endre Analysis of finite difference schemes for linear partial differential equations with generalized solutions Springer series in computational mathematics Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenrechnung (DE-588)4149800-8 gnd |
| subject_GND | (DE-588)4194626-1 (DE-588)4149800-8 |
| title | Analysis of finite difference schemes for linear partial differential equations with generalized solutions |
| title_auth | Analysis of finite difference schemes for linear partial differential equations with generalized solutions |
| title_exact_search | Analysis of finite difference schemes for linear partial differential equations with generalized solutions |
| title_full | Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli |
| title_fullStr | Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli |
| title_full_unstemmed | Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli |
| title_short | Analysis of finite difference schemes |
| title_sort | analysis of finite difference schemes for linear partial differential equations with generalized solutions |
| title_sub | for linear partial differential equations with generalized solutions |
| topic | Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenrechnung (DE-588)4149800-8 gnd |
| topic_facet | Finite-Differenzen-Methode Differenzenrechnung |
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