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Mathematische Methoden der Strömungsmechanik
Äquivalenz von Differentialgleichungs-Systemen und Einzel-Differentialgleichungen
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Author(s):
Wilhelm Schneider
Publication date
(Print):
1978
Publisher:
Vieweg+Teubner Verlag
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Book Chapter
Publication date (Print):
1978
Pages
: 2-3
DOI:
10.1007/978-3-322-83943-5_2
SO-VID:
c7ecb5ff-c213-42a2-8d61-f16983e966b3
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Book chapters
pp. 1
Einleitung: Partielle Differentialgleichungen, Rand- und Anfangsbedingungen
pp. 2
Äquivalenz von Differentialgleichungs-Systemen und Einzel-Differentialgleichungen
pp. 3
Lineare, nichtlineare und quasilineare Differentialgleichungen
pp. 5
Rand- und Anfangswertprobleme
pp. 13
Charakteristiken
pp. 16
Elliptische, hyperbolische und parabolische Differentialgleichungen
pp. 18
Direkte und indirekte Methoden; inverse Probleme
pp. 20
Einleitung
pp. 20
Partielle Differentialgleichung erster Ordnung
pp. 23
Separation der Variablen bei nichtlinearen Problemen
pp. 26
Ähnlichkeitslösungen
pp. 36
Weitere Lösungen spezieller Form
pp. 41
Transformation auf lineare Differentialgleichungen
pp. 52
Methode der Parameter-Differentiation
pp. 59
Einleitung
pp. 59
Asymptotische Entwicklung nach einem Parameter
pp. 77
Entwicklung nach mehr als einem Parameter
pp. 85
Einleitung
pp. 85
Wichtige Eigenschaften linearer Differentialgleichungen
pp. 86
Separation der Variablen bei linearen Problemen
pp. 113
Singularitätenmethode
pp. 155
Anwendung der Funktionentheorie
pp. 175
Einleitung
pp. 175
Methode der Koordinatenstörung (Analytisches Charakteristikenverfahren)
pp. 201
Angepaßte asymptotische Entwicklungen
pp. 228
Methode der mehrfachen Variablen und verwandte Methoden
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