Mechanics and Dynamical Systems with Mathematica:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2000
|
| Series: | Modeling and Simulation in Science, Engineering and Technology
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equations is a relevant, maybe the fundamental, aspect of the interactions between mathematics and applied sciences. Modeling is, however, only the first step toward the mathematical description and simulation of systems belonging to real world. Indeed, once the evolution equation is proposed, one has to deal with mathematical problems and develop suitable simulations to provide the description of the real system according to the model. Within this framework, one has an evolution equation and the related mathematical problems obtained by adding all necessary conditions for their solution. Then, a qualitative analysis should be developed: this means proof of existence of solutions and analysis of their qualitative behavior. Asymptotic analysis may include a detailed description of stability properties. Quantitative analysis, based upon the application of suitable methods and algorithms for the solution of problems, ends up with the simulation that is the representation of the dependent variable versus the independent one. The information obtained by the model has to be compared with those deriving from the experimental observation of the real system. This comparison may finally lead to the validation of the model followed by its application and, maybe, further generalization |
| Physical Description: | 1 Online-Ressource (XV, 417 p) |
| ISBN: | 9781461213383 9781461271017 |
| ISSN: | 2164-3679 |
| DOI: | 10.1007/978-1-4612-1338-3 |
Staff View
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Record in the Search Index
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| author | Bellomo, Nicola |
| author_facet | Bellomo, Nicola |
| author_role | aut |
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| building | Verbundindex |
| bvnumber | BV042419806 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1338-3 |
| format | Electronic eBook |
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| id | DE-604.BV042419806 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461213383 9781461271017 |
| issn | 2164-3679 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855223 |
| oclc_num | 869866342 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XV, 417 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Modeling and Simulation in Science, Engineering and Technology |
| spelling | Bellomo, Nicola Verfasser aut Mechanics and Dynamical Systems with Mathematica by Nicola Bellomo, Luigi Preziosi, Antonio Romano Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (XV, 417 p) txt rdacontent c rdamedia cr rdacarrier Modeling and Simulation in Science, Engineering and Technology 2164-3679 Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equations is a relevant, maybe the fundamental, aspect of the interactions between mathematics and applied sciences. Modeling is, however, only the first step toward the mathematical description and simulation of systems belonging to real world. Indeed, once the evolution equation is proposed, one has to deal with mathematical problems and develop suitable simulations to provide the description of the real system according to the model. Within this framework, one has an evolution equation and the related mathematical problems obtained by adding all necessary conditions for their solution. Then, a qualitative analysis should be developed: this means proof of existence of solutions and analysis of their qualitative behavior. Asymptotic analysis may include a detailed description of stability properties. Quantitative analysis, based upon the application of suitable methods and algorithms for the solution of problems, ends up with the simulation that is the representation of the dependent variable versus the independent one. The information obtained by the model has to be compared with those deriving from the experimental observation of the real system. This comparison may finally lead to the validation of the model followed by its application and, maybe, further generalization Engineering Differentiable dynamical systems Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Computational Intelligence Ingenieurwissenschaften Mechanik (DE-588)4038168-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s Mathematica Programm (DE-588)4268208-3 s 1\p DE-604 Mechanik (DE-588)4038168-7 s 2\p DE-604 Preziosi, Luigi Sonstige oth Romano, Antonio Sonstige oth https://doi.org/10.1007/978-1-4612-1338-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bellomo, Nicola Mechanics and Dynamical Systems with Mathematica Engineering Differentiable dynamical systems Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Computational Intelligence Ingenieurwissenschaften Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4185100-6 (DE-588)4268208-3 |
| title | Mechanics and Dynamical Systems with Mathematica |
| title_auth | Mechanics and Dynamical Systems with Mathematica |
| title_exact_search | Mechanics and Dynamical Systems with Mathematica |
| title_full | Mechanics and Dynamical Systems with Mathematica by Nicola Bellomo, Luigi Preziosi, Antonio Romano |
| title_fullStr | Mechanics and Dynamical Systems with Mathematica by Nicola Bellomo, Luigi Preziosi, Antonio Romano |
| title_full_unstemmed | Mechanics and Dynamical Systems with Mathematica by Nicola Bellomo, Luigi Preziosi, Antonio Romano |
| title_short | Mechanics and Dynamical Systems with Mathematica |
| title_sort | mechanics and dynamical systems with mathematica |
| topic | Engineering Differentiable dynamical systems Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Computational Intelligence Ingenieurwissenschaften Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematica Programm (DE-588)4268208-3 gnd |
| topic_facet | Engineering Differentiable dynamical systems Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Dynamical Systems and Ergodic Theory Computational Intelligence Ingenieurwissenschaften Mechanik Theoretische Mechanik Mathematica Programm |
| url | https://doi.org/10.1007/978-1-4612-1338-3 |
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