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Artwork for Numerische Mathematik für die Fachrichtungen Informatik und Ingenieurwesen, Vorlesung, SS2019

Numerische Mathematik für die Fachrichtungen Informatik und Ingenieurwesen, Vorlesung, SS2019

Karlsruher Institut für Technologie (KIT)

Numerische Mathematik für die Fachrichtungen Informatik und Ingenieurwesen, Vorlesung, SS2019

PublishesWeeklyEpisodes14Founded5 years ago
Language
German
Categories
EducationCourses

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Artwork for Numerische Mathematik für die Fachrichtungen Informatik und Ingenieurwesen, Vorlesung, SS2019

Latest Episodes

14 | 0:00:00 Start 0:00:08 Iterative Verfahren für LGS 0:00:33 1.Problem 0:05:41 2.Allgmeine lineare Iterationen 0:08:44 Fixpunktiteration 0:10:46 Satz: Konvergenz allgemeiner linearer Iterationen 0:12:00 Beweis 0:18:45 Beispiele 0:18:48 Jacobi-Verfa... more

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5 years ago

13 | 0:00:00 Start 0:02:37 QR-Algorithmus zur Eigenwertberechnung 0:12:56 Bemerkung: Verbesserung des Algorithmus 0:21:28 Satz: Transformation auf Hessenbergform 0:23:38 Beweis 0:36:37 Bemerkung: Aufwand der Transformation 0:38:14 Satz: Hessenbergfor... more

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5 years ago

12 | 0:00:00 Start 0:00:17 Kapitel 6: Eigenwertprobleme 0:00:38 1. Problem 0:11:24 2. Kondition des Problems 0:23:17 Bemerkungen 0:34:57 3. Vektoriteration 0:56:40 Beispiel 0:58:44 4. Inverse Vektoriteration 1:11:57 5. Spektrale Bisektion

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5 years ago

11 | 0:00:00 Start 0:00:13 Wiederholung 0:03:25 QT mit erhöhter Ordung 0:19:27 Satz 0:28:50 Gauß-QF 0:38:08 Beispiele 0:43:36 Quadraturfehler 1:11:21 Beispiele 1:21:41 Fehler auf Gesamtintervall

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5 years ago

10 | 0:00:00 Start 0:00:05 Numerische Integration 0:00:37 Problemstellung 0:04:25 Kondition des Problems 0:13:07 Quadraturformeln 0:18:27 Beispiele 0:36:06 Ordnung einer Quadraturformel (QF) 0:57:43 Beispiele 1:10:09 Symmetrische Quadraturformel (QF)... more

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5 years ago

09 | 0:00:00 Start 0:00:20 Spline-Interpoation 0:04:30 1. Motivation 0:33:14 2. Konstruktion 0:57:46 3. Kondition der Spline-Interpolation (eingespannt)

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5 years ago

08 | 0:00:00 Start 0:00:07 heutiges Thema: Polynominterpolation 0:10:55 Restglied der Polynominterpolation 0:28:57 Tschebyscheff-Interpolation 0:33:45 Definiton der Tschebyscheff-Polynome 0:39:26 Eigenschaften der Tschebyscheff-Polynome 0:46:10 »Min-... more

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5 years ago

07 | 0:00:00 Start 0:00:10 Polynominterpolation 0:00:53 1. Problem 0:25:16 2. Kondition des Problems 0:37:06 Beispiel 0:44:53 3. Newtondarstellung und dividierte Differenzen 1:05:20 Lemma von Aitken

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5 years ago

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