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| author | Andreas Müller <andreas.mueller@ost.ch> | 2021-04-15 11:13:50 +0200 |
|---|---|---|
| committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-04-15 11:13:50 +0200 |
| commit | 9685524959fd0c5e3b2b5ced4f9569cbabcf028f (patch) | |
| tree | d029ee1a7cd134e73380ad4f4bc8a4b00b44e8a3 /vorlesungen/08_dgl/slides.tex | |
| parent | add devide and conquor slides (diff) | |
| parent | Slides für Vorlesung DGL begonnen. (diff) | |
| download | SeminarMatrizen-9685524959fd0c5e3b2b5ced4f9569cbabcf028f.tar.gz SeminarMatrizen-9685524959fd0c5e3b2b5ced4f9569cbabcf028f.zip | |
Merge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen
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| -rw-r--r-- | vorlesungen/08_dgl/slides.tex | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/vorlesungen/08_dgl/slides.tex b/vorlesungen/08_dgl/slides.tex new file mode 100644 index 0000000..db4e27c --- /dev/null +++ b/vorlesungen/08_dgl/slides.tex @@ -0,0 +1,24 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% + +% Wie findet man die Lösung von \dot x = Ax? +% Fall \dot x = ax +% Potenzreihenansatz -> exp(ax) x_0 + +%% Plan: +% 1. Tailor-Reihen p_n -> f +% 2. x' = ax => x = exp(ax) x_0 via Potenzreihe finden +% 3. n-Dim-skalar -> 1-Dim-Matrix +% 4. Analogie zur Vektor-Matrix-Form +% 5. exp(Ax) x_0 als Fluss +% 6. Strömungslinien = Pfade für Lie-Theorie, A lokal, exp(Ax) global +% 7. Beispiele so(2), Jordan-Block, vielleicht [0 1; 1 0] + +%\folie{10/taylor.tex} +\folie{10/n-zu-1.tex} +%\folie{5/potenzreihenmethode.tex} + +%\folie{10/eindimensional.tex}
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