Methods of mathematical modelling: continuous systems and differential equations
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
|
| Schriftenreihe: | Springer undergraduate mathematics series
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UBY01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XVIII, 305 Seiten, 50 illus., 45 illus. in color) |
| ISBN: | 9783319230429 |
| ISSN: | 1615-2085 |
| DOI: | 10.1007/978-3-319-23042-9 |
Internformat
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| 650 | 4 | |a Ordinary Differential Equations | |
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| 650 | 4 | |a Mathematical Modeling and Industrial Mathematics | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
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Datensatz im Suchindex
| _version_ | 1804175709165322240 |
|---|---|
| adam_text | METHODS OF MATHEMATICAL MODELLING
/ WITELSKI, THOMAS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
RATE EQUATIONS
TRANSPORT EQUATIONS
VARIATIONAL PRINCIPLES
DIMENSIONAL SCALING ANALYSIS
SELF-SIMILAR SCALING SOLUTIONS OF DIFFERENTIAL EQUATIONS
PERTURBATION METHODS
BOUNDARY LAYER THEORY
LONG-WAVE ASYMPTOTICS FOR PDE PROBLEMS
WEAKLY-NONLINEAR OSCILLATORS
FAST/SLOW DYNAMICAL SYSTEMS
REDUCED MODELS FOR PDE PROBLEMS
MODELLING IN APPLIED FLUID DYNAMICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
METHODS OF MATHEMATICAL MODELLING
/ WITELSKI, THOMAS
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS MATHEMATICAL MODELLING AND THE INTEGRATED PROCESS OF
FORMULATING SETS OF EQUATIONS TO DESCRIBE REAL-WORLD PROBLEMS. IT
DESCRIBES METHODS FOR OBTAINING SOLUTIONS OF CHALLENGING DIFFERENTIAL
EQUATIONS STEMMING FROM PROBLEMS IN AREAS SUCH AS CHEMICAL REACTIONS,
POPULATION DYNAMICS, MECHANICAL SYSTEMS, AND FLUID MECHANICS. CHAPTERS 1
TO 4 COVER ESSENTIAL TOPICS IN ORDINARY DIFFERENTIAL EQUATIONS,
TRANSPORT EQUATIONS AND THE CALCULUS OF VARIATIONS THAT ARE IMPORTANT
FOR FORMULATING MODELS. CHAPTERS 5 TO 11 THEN DEVELOP MORE ADVANCED
TECHNIQUES INCLUDING SIMILARITY SOLUTIONS, MATCHED ASYMPTOTIC
EXPANSIONS, MULTIPLE SCALE ANALYSIS, LONG-WAVE MODELS, AND FAST/SLOW
DYNAMICAL SYSTEMS. METHODS OF MATHEMATICAL MODELLING WILL BE USEFUL FOR
ADVANCED UNDERGRADUATE OR BEGINNING GRADUATE STUDENTS IN APPLIED
MATHEMATICS, ENGINEERING AND OTHER APPLIED SCIENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Witelski, Thomas Bowen, Mark |
| author_GND | (DE-588)1117095258 (DE-588)1117095614 |
| author_facet | Witelski, Thomas Bowen, Mark |
| author_role | aut aut |
| author_sort | Witelski, Thomas |
| author_variant | t w tw m b mb |
| building | Verbundindex |
| bvnumber | BV043209749 |
| classification_rvk | SK 950 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)923666522 (DE-599)BVBBV043209749 |
| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-23042-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:36Z |
| institution | BVB |
| isbn | 9783319230429 |
| issn | 1615-2085 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632910 |
| oclc_num | 923666522 |
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| spelling | Witelski, Thomas Verfasser (DE-588)1117095258 aut Methods of mathematical modelling continuous systems and differential equations Thomas Witelski, Mark Bowen Cham Springer [2015] © 2015 1 Online Ressource (XVIII, 305 Seiten, 50 illus., 45 illus. in color) txt rdacontent c rdamedia cr rdacarrier Springer undergraduate mathematics series 1615-2085 Mathematics Differential equations Partial differential equations Mathematical physics Mathematical models Calculus of variations Ordinary Differential Equations Partial Differential Equations Mathematical Applications in the Physical Sciences Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Mathematik Mathematische Physik Mathematisches Modell Biomathematik (DE-588)4139408-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 s Biomathematik (DE-588)4139408-2 s Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Bowen, Mark Verfasser (DE-588)1117095614 aut Erscheint auch als Druckausgabe 978-3-319-23041-2 https://doi.org/10.1007/978-3-319-23042-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632910&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=028632910&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Witelski, Thomas Bowen, Mark Methods of mathematical modelling continuous systems and differential equations Mathematics Differential equations Partial differential equations Mathematical physics Mathematical models Calculus of variations Ordinary Differential Equations Partial Differential Equations Mathematical Applications in the Physical Sciences Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Mathematik Mathematische Physik Mathematisches Modell Biomathematik (DE-588)4139408-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Mathematische Modellierung (DE-588)7651795-0 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4044779-0 (DE-588)4020929-5 (DE-588)7651795-0 |
| title | Methods of mathematical modelling continuous systems and differential equations |
| title_auth | Methods of mathematical modelling continuous systems and differential equations |
| title_exact_search | Methods of mathematical modelling continuous systems and differential equations |
| title_full | Methods of mathematical modelling continuous systems and differential equations Thomas Witelski, Mark Bowen |
| title_fullStr | Methods of mathematical modelling continuous systems and differential equations Thomas Witelski, Mark Bowen |
| title_full_unstemmed | Methods of mathematical modelling continuous systems and differential equations Thomas Witelski, Mark Bowen |
| title_short | Methods of mathematical modelling |
| title_sort | methods of mathematical modelling continuous systems and differential equations |
| title_sub | continuous systems and differential equations |
| topic | Mathematics Differential equations Partial differential equations Mathematical physics Mathematical models Calculus of variations Ordinary Differential Equations Partial Differential Equations Mathematical Applications in the Physical Sciences Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Mathematik Mathematische Physik Mathematisches Modell Biomathematik (DE-588)4139408-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Mathematische Modellierung (DE-588)7651795-0 gnd |
| topic_facet | Mathematics Differential equations Partial differential equations Mathematical physics Mathematical models Calculus of variations Ordinary Differential Equations Partial Differential Equations Mathematical Applications in the Physical Sciences Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Mathematik Mathematische Physik Mathematisches Modell Biomathematik Partielle Differentialgleichung Gewöhnliche Differentialgleichung Mathematische Modellierung |
| url | https://doi.org/10.1007/978-3-319-23042-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632910&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=028632910&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT witelskithomas methodsofmathematicalmodellingcontinuoussystemsanddifferentialequations AT bowenmark methodsofmathematicalmodellingcontinuoussystemsanddifferentialequations |