Applied Analysis of Ordinary Differential Equations
One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applicat...
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| Formato: | Online |
| Idioma: | inglês |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Acesso em linha: | 42639 |
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| _version_ | 1869524021622603776 |
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| author | Balasuriya, Sanjeeva |
| author_browse | Balasuriya, Sanjeeva |
| author_facet | Balasuriya, Sanjeeva |
| author_sort | Balasuriya, Sanjeeva |
| collection | Directory of Open Access Books |
| description | One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models—for example, when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications. |
| format | Online |
| id | doab-20.500.12854ir-41085 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-410852023-12-20T18:40:39Z Applied Analysis of Ordinary Differential Equations Balasuriya, Sanjeeva QA1-939 Q1-390 heteroclinic tangle n/a coupled system integral boundary conditions EADs transport bifurcation analysis SIR epidemic model ion current interactions green’s function surface of section endemic equilibrium age structure MATCONT Ulam’s stability nonlinear dynamics stability basic reproduction number bic Book Industry Communication::P Mathematics & science One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models—for example, when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications. 2021-02-11T08:21:03Z 2021-02-11T08:21:03Z 2019-12-09 11:49:16 2019 book 42639 9783039217274 9783039217267 https://directory.doabooks.org/handle/20.500.12854/41085 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1795 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-727-4 10.3390/books978-3-03921-727-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039217274 9783039217267 62 open access |
| spellingShingle | QA1-939 Q1-390 heteroclinic tangle n/a coupled system integral boundary conditions EADs transport bifurcation analysis SIR epidemic model ion current interactions green’s function surface of section endemic equilibrium age structure MATCONT Ulam’s stability nonlinear dynamics stability basic reproduction number bic Book Industry Communication::P Mathematics & science Balasuriya, Sanjeeva Applied Analysis of Ordinary Differential Equations |
| title | Applied Analysis of Ordinary Differential Equations |
| title_full | Applied Analysis of Ordinary Differential Equations |
| title_fullStr | Applied Analysis of Ordinary Differential Equations |
| title_full_unstemmed | Applied Analysis of Ordinary Differential Equations |
| title_short | Applied Analysis of Ordinary Differential Equations |
| title_sort | applied analysis of ordinary differential equations |
| topic | QA1-939 Q1-390 heteroclinic tangle n/a coupled system integral boundary conditions EADs transport bifurcation analysis SIR epidemic model ion current interactions green’s function surface of section endemic equilibrium age structure MATCONT Ulam’s stability nonlinear dynamics stability basic reproduction number bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 heteroclinic tangle n/a coupled system integral boundary conditions EADs transport bifurcation analysis SIR epidemic model ion current interactions green’s function surface of section endemic equilibrium age structure MATCONT Ulam’s stability nonlinear dynamics stability basic reproduction number bic Book Industry Communication::P Mathematics & science |
| url | 42639 |
| work_keys_str_mv | AT balasuriyasanjeeva appliedanalysisofordinarydifferentialequations |