Numerical methods for nonlinear partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Springer Series in Computational Mathematics
47 |
| Subjects: | |
| Online Access: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 393 S.) 122 illus |
| ISBN: | 9783319137971 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-319-13797-1 |
Staff View
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Record in the Search Index
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| adam_text |
NUMERICAL METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
/ BARTELS, SOEREN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. INTRODUCTION
PART I: ANALYTICAL AND NUMERICAL FOUNDATIONS
2. ANALYTICAL BACKGROUND
3. FEM FOR LINEAR PROBLEMS
4. CONCEPTS FOR DISCRETIZED PROBLEMS
PART II: APPROXIMATION OF CLASSICAL FORMULATIONS
5. THE OBSTACLE PROBLEM
6. THE ALLEN-CAHN EQUATION
7. HARMONIC MAPS
8. BENDING PROBLEMS
PART III: METHODS FOR EXTENDED FORMULATIONS
9. NONCONVEXITY AND MICROSTRUCTURE
10. FREE DISCONTINUITIES
11. ELASTOPLASTICITY
AUXILIARY ROUTINES
FREQUENTLY USED NOTATION
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NUMERICAL METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
/ BARTELS, SOEREN
: 2015
ABSTRACT / INHALTSTEXT
THE DESCRIPTION OF MANY INTERESTING PHENOMENA IN SCIENCE AND ENGINEERING
LEADS TO INFINITE-DIMENSIONAL MINIMIZATION OR EVOLUTION PROBLEMS THAT
DEFINE NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS. WHILE THE DEVELOPMENT
AND ANALYSIS OF NUMERICAL METHODS FOR LINEAR PARTIAL DIFFERENTIAL
EQUATIONS IS NEARLY COMPLETE, ONLY FEW RESULTS ARE AVAILABLE IN THE CASE
OF NONLINEAR EQUATIONS. THIS MONOGRAPH DEVISES NUMERICAL METHODS FOR
NONLINEAR MODEL PROBLEMS ARISING IN THE MATHEMATICAL DESCRIPTION OF
PHASE TRANSITIONS, LARGE BENDING PROBLEMS, IMAGE PROCESSING, AND
INELASTIC MATERIAL BEHAVIOR. FOR EACH OF THESE PROBLEMS THE UNDERLYING
MATHEMATICAL MODEL IS DISCUSSED, THE ESSENTIAL ANALYTICAL PROPERTIES ARE
EXPLAINED, AND THE PROPOSED NUMERICAL METHOD IS RIGOROUSLY ANALYZED. THE
PRACTICALITY OF THE ALGORITHMS IS ILLUSTRATED BY MEANS OF SHORT
IMPLEMENTATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
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| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-13797-1 |
| format | Electronic eBook |
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| spelling | Bartels, Sören Verfasser (DE-588)1117057089 aut Numerical methods for nonlinear partial differential equations Sören Bartels Cham [u.a.] Springer 2015 1 Online-Ressource (X, 393 S.) 122 illus txt rdacontent c rdamedia cr rdacarrier Springer series in computational mathematics 47 0179-3632 Mathematics Differential equations, partial Algorithms Numerical analysis Mathematical optimization Numerical Analysis Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Erscheint auch als Druckausgabe 978-3-319-13796-4 Springer Series in Computational Mathematics 47 (DE-604)BV035421315 47 https://doi.org/10.1007/978-3-319-13797-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762886&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=027762886&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Bartels, Sören Numerical methods for nonlinear partial differential equations Springer Series in Computational Mathematics Mathematics Differential equations, partial Algorithms Numerical analysis Mathematical optimization Numerical Analysis Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4128900-6 |
| title | Numerical methods for nonlinear partial differential equations |
| title_auth | Numerical methods for nonlinear partial differential equations |
| title_exact_search | Numerical methods for nonlinear partial differential equations |
| title_full | Numerical methods for nonlinear partial differential equations Sören Bartels |
| title_fullStr | Numerical methods for nonlinear partial differential equations Sören Bartels |
| title_full_unstemmed | Numerical methods for nonlinear partial differential equations Sören Bartels |
| title_short | Numerical methods for nonlinear partial differential equations |
| title_sort | numerical methods for nonlinear partial differential equations |
| topic | Mathematics Differential equations, partial Algorithms Numerical analysis Mathematical optimization Numerical Analysis Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Mathematics Differential equations, partial Algorithms Numerical analysis Mathematical optimization Numerical Analysis Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Mathematik Numerisches Verfahren Nichtlineare partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-319-13797-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762886&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=027762886&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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