Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910396738174976 |
|---|---|
| author | Rot, Miha Horvat, Martin Kosec, Gregor |
| author_facet | Rot, Miha Horvat, Martin Kosec, Gregor |
| contents | The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by using scalar reductions, which, however, come with a loss of spatial detail. Dynamic Mode Decomposition is a data-driven analysis method that solves this problem by identifying oscillating spatial structures and their corresponding frequencies. This paper presents the algorithm and provides a physical interpretation of the results by applying the decomposition method to a series of increasingly complex examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_04728 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations Rot, Miha Horvat, Martin Kosec, Gregor Numerical Analysis Dynamical Systems Data Analysis, Statistics and Probability The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by using scalar reductions, which, however, come with a loss of spatial detail. Dynamic Mode Decomposition is a data-driven analysis method that solves this problem by identifying oscillating spatial structures and their corresponding frequencies. This paper presents the algorithm and provides a physical interpretation of the results by applying the decomposition method to a series of increasingly complex examples. |
| title | Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations |
| topic | Numerical Analysis Dynamical Systems Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2203.04728 |