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authorAndreas Müller <andreas.mueller@ost.ch>2021-04-15 11:13:50 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-04-15 11:13:50 +0200
commit9685524959fd0c5e3b2b5ced4f9569cbabcf028f (patch)
treed029ee1a7cd134e73380ad4f4bc8a4b00b44e8a3 /vorlesungen/08_dgl/slides.tex
parentadd devide and conquor slides (diff)
parentSlides für Vorlesung DGL begonnen. (diff)
downloadSeminarMatrizen-9685524959fd0c5e3b2b5ced4f9569cbabcf028f.tar.gz
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Merge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen
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+%
+% 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} \ No newline at end of file