Solving Ordinary Differential Equations in Python
This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Online |
| اللغة: | الإنجليزية |
| منشور في: |
Springer Nature
2023
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | ONIX_20231113_9783031467684_32 |
| الوسوم: |
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1869529542701350912 |
|---|---|
| author | Sundnes, Joakim |
| author_browse | Sundnes, Joakim |
| author_facet | Sundnes, Joakim |
| author_sort | Sundnes, Joakim |
| collection | Directory of Open Access Books |
| description | This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python. |
| format | Online |
| id | doab-20.500.12854ir-121480 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1214802025-03-20T14:02:19Z Solving Ordinary Differential Equations in Python Sundnes, Joakim Ordinary differential equations Runge-Kutta methods scientific programming Python programming object-oriented programming difference equations adaptive time step methods This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python. 2023-11-16T11:17:17Z 2023-11-16T11:17:17Z 2023-11-13T16:42:26Z 2024 book ONIX_20231113_9783031467684_32 OCN: 1409433745 https://library.oapen.org/handle/20.500.12657/85081 9783031467684 9783031467677 https://directory.doabooks.org/handle/20.500.12854/121480 eng Simula SpringerBriefs on Computing open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/85081/1/978-3-031-46768-4.pdf https://library.oapen.org/bitstream/20.500.12657/85081/1/978-3-031-46768-4.pdf https://library.oapen.org/bitstream/20.500.12657/85081/1/978-3-031-46768-4.pdf Springer Nature Springer Nature Switzerland 10.1007/978-3-031-46768-4 10.1007/978-3-031-46768-4 9fa3421d-f917-4153-b9ab-fc337c396b5a eb9ac1c9-bf74-4c3a-b0a2-e945a77d7280 9783031467684 9783031467677 Springer Nature Switzerland 114 Cham [...] open access |
| spellingShingle | Ordinary differential equations Runge-Kutta methods scientific programming Python programming object-oriented programming difference equations adaptive time step methods Sundnes, Joakim Solving Ordinary Differential Equations in Python |
| title | Solving Ordinary Differential Equations in Python |
| title_full | Solving Ordinary Differential Equations in Python |
| title_fullStr | Solving Ordinary Differential Equations in Python |
| title_full_unstemmed | Solving Ordinary Differential Equations in Python |
| title_short | Solving Ordinary Differential Equations in Python |
| title_sort | solving ordinary differential equations in python |
| topic | Ordinary differential equations Runge-Kutta methods scientific programming Python programming object-oriented programming difference equations adaptive time step methods |
| topic_facet | Ordinary differential equations Runge-Kutta methods scientific programming Python programming object-oriented programming difference equations adaptive time step methods |
| url | ONIX_20231113_9783031467684_32 |
| work_keys_str_mv | AT sundnesjoakim solvingordinarydifferentialequationsinpython |