Nonlinear ordinary differential equations: analytical approximation and numerical methods
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[New Delhi]
Springer
[2016]
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVI, 310 Seiten, 53 illus) |
| ISBN: | 9788132228127 |
| DOI: | 10.1007/978-81-322-2812-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804176261402066944 |
|---|---|
| adam_text | NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
/ HERMANN, MARTIN
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
A BRIEF REVIEW OF ELEMENTARY ANALYTICAL METHODS FOR SOLVING NONLINEAR
ODES
ANALYTICAL APPROXIMATION METHODS
FURTHER ANALYTICAL APPROXIMATION METHODS AND SOME APPLICATIONS
NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS
NUMERICAL TREATMENT OF PARAMETERIZED TWO-POINT BOUNDARY VALUE PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
/ HERMANN, MARTIN
: 2016
ABSTRACT / INHALTSTEXT
THE BOOK DISCUSSES THE SOLUTIONS TO NONLINEAR ORDINARY DIFFERENTIAL
EQUATIONS (ODES) USING ANALYTICAL AND NUMERICAL APPROXIMATION METHODS.
RECENTLY, ANALYTICAL APPROXIMATION METHODS HAVE BEEN LARGELY USED IN
SOLVING LINEAR AND NONLINEAR LOWER-ORDER ODES. IT ALSO DISCUSSES USING
THESE METHODS TO SOLVE SOME STRONG NONLINEAR ODES. THERE ARE TWO
CHAPTERS DEVOTED TO SOLVING NONLINEAR ODES USING NUMERICAL METHODS, AS
IN PRACTICE HIGH-DIMENSIONAL SYSTEMS OF NONLINEAR ODES THAT CANNOT BE
SOLVED BY ANALYTICAL APPROXIMATE METHODS ARE COMMON. MOREOVER, IT
STUDIES ANALYTICAL AND NUMERICAL TECHNIQUES FOR THE TREATMENT OF
PARAMETER-DEPENDING ODES. THE BOOK EXPLAINS VARIOUS METHODS FOR SOLVING
NONLINEAR-OSCILLATOR AND STRUCTURAL-SYSTEM PROBLEMS, INCLUDING THE
ENERGY BALANCE METHOD, HARMONIC BALANCE METHOD, AMPLITUDE FREQUENCY
FORMULATION, VARIATIONAL ITERATION METHOD, HOMOTOPY PERTURBATION METHOD,
ITERATION PERTURBATION METHOD, HOMOTOPY ANALYSIS METHOD, SIMPLE AND
MULTIPLE SHOOTING METHOD, AND THE NONLINEAR STABILIZED MARCH METHOD.
THIS BOOK COMPREHENSIVELY INVESTIGATES VARIOUS NEW ANALYTICAL AND
NUMERICAL APPROXIMATION TECHNIQUES THAT ARE USED IN SOLVING
NONLINEAR-OSCILLATOR AND STRUCTURAL-SYSTEM PROBLEMS. STUDENTS OFTEN RELY
ON THE FINITE ELEMENT METHOD TO SUCH AN EXTENT THAT ON GRADUATION THEY
HAVE LITTLE OR NO KNOWLEDGE OF ALTERNATIVE METHODS OF SOLVING PROBLEMS.
TO RECTIFY THIS, THE BOOK INTRODUCES SEVERAL NEW APPROXIMATION
TECHNIQUES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hermann, Martin 1949- Saravi, Masoud |
| author_GND | (DE-588)141644656 |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-81-322-2812-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:29:22Z |
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| isbn | 9788132228127 |
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| spelling | Hermann, Martin 1949- Verfasser (DE-588)141644656 aut Nonlinear ordinary differential equations analytical approximation and numerical methods by Martin Hermann, Masoud Saravi [New Delhi] Springer [2016] © 2016 1 Online-Ressource (XVI, 310 Seiten, 53 illus) txt rdacontent c rdamedia cr rdacarrier Mathematics Differential equations Mathematical physics Numerical analysis Ordinary Differential Equations Numerical Analysis Mathematical Physics Mathematical Applications in the Physical Sciences Mathematik Mathematische Physik Saravi, Masoud Verfasser aut Erscheint auch als Druckausgabe 978-81-322-2810-3 https://doi.org/10.1007/978-81-322-2812-7 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994452&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=028994452&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Hermann, Martin 1949- Saravi, Masoud Nonlinear ordinary differential equations analytical approximation and numerical methods Mathematics Differential equations Mathematical physics Numerical analysis Ordinary Differential Equations Numerical Analysis Mathematical Physics Mathematical Applications in the Physical Sciences Mathematik Mathematische Physik |
| title | Nonlinear ordinary differential equations analytical approximation and numerical methods |
| title_auth | Nonlinear ordinary differential equations analytical approximation and numerical methods |
| title_exact_search | Nonlinear ordinary differential equations analytical approximation and numerical methods |
| title_full | Nonlinear ordinary differential equations analytical approximation and numerical methods by Martin Hermann, Masoud Saravi |
| title_fullStr | Nonlinear ordinary differential equations analytical approximation and numerical methods by Martin Hermann, Masoud Saravi |
| title_full_unstemmed | Nonlinear ordinary differential equations analytical approximation and numerical methods by Martin Hermann, Masoud Saravi |
| title_short | Nonlinear ordinary differential equations |
| title_sort | nonlinear ordinary differential equations analytical approximation and numerical methods |
| title_sub | analytical approximation and numerical methods |
| topic | Mathematics Differential equations Mathematical physics Numerical analysis Ordinary Differential Equations Numerical Analysis Mathematical Physics Mathematical Applications in the Physical Sciences Mathematik Mathematische Physik |
| topic_facet | Mathematics Differential equations Mathematical physics Numerical analysis Ordinary Differential Equations Numerical Analysis Mathematical Physics Mathematical Applications in the Physical Sciences Mathematik Mathematische Physik |
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