Advanced Differential Equations: Asymptotics & Perturbations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866915165456302080 |
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| author | Kutz, J. Nathan |
| author_facet | Kutz, J. Nathan |
| contents | Approximation techniques have been historically important for solving differential equations, both as initial value problems and boundary value problems. The integration of numerical, analytic and perturbation methods and techniques can help produce meaningful approximate solutions for many modern problems in the engineering and physical sciences. An overview of such methods is given here, focusing on the use of perturbation techniques for revealing many key properties and behaviors exhibited in practice across diverse scientific disciplines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_14591 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Advanced Differential Equations: Asymptotics & Perturbations Kutz, J. Nathan Classical Analysis and ODEs Pattern Formation and Solitons Approximation techniques have been historically important for solving differential equations, both as initial value problems and boundary value problems. The integration of numerical, analytic and perturbation methods and techniques can help produce meaningful approximate solutions for many modern problems in the engineering and physical sciences. An overview of such methods is given here, focusing on the use of perturbation techniques for revealing many key properties and behaviors exhibited in practice across diverse scientific disciplines. |
| title | Advanced Differential Equations: Asymptotics & Perturbations |
| topic | Classical Analysis and ODEs Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2012.14591 |