Vasile Catrinel Gradinaru: Katalogdaten im Frühjahrssemester 2023 |
Name | Herr Dr. Vasile Catrinel Gradinaru |
Adresse | Seminar für Angewandte Mathematik ETH Zürich, HG GO 52.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telefon | +41 44 632 34 48 |
vasile.gradinaru@sam.math.ethz.ch | |
URL | http://www.sam.math.ethz.ch/~gvasile |
Departement | Mathematik |
Beziehung | Dozent |
Nummer | Titel | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||
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401-2664-00L | Numerische Methoden | 6 KP | 4G + 2U | V. C. Gradinaru | |||||||||||||||||||||||||||||||||||||||||||||||
Kurzbeschreibung | Dieser Kurs gibt eine Einführung in numerische Methoden für Studierende der Physik. Abgedeckt werden Methoden der linearen Algebra, der Analysis (Nullstellensuche von Funktionen, Integration ) und der gewöhnlicher Differentialgleichungen. Der Schwerpunkt liegt auf dem Erwerb von Fertigkeiten in der Anwendung von numerischen Verfahren. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Lernziel | Übersicht über die wichtigsten Algorithmen zur Lösung der grundlegenden numerischen Probleme in der Physik und ihren Anwendungen; Übersicht über Software Repositorien zur Problemlösung; Fertigkeit konkrete Probleme mit diesen Werkzeugen numerisch zu lösen; Fähigkeit numerische Resultate zu interpretieren | ||||||||||||||||||||||||||||||||||||||||||||||||||
Inhalt | Lineare und nichtlineare Ausgleichsrechnung, nichtlineare Gleichungen (Skalar und Systeme), numerische Integration, Anfangswertprobleme für gewöhnliche Differentialgleichungen | ||||||||||||||||||||||||||||||||||||||||||||||||||
Skript | Auf der Webseite der Vorlesung werden die Vorlesungsnotitzen, Folien und der entstehende Skript so wie weitere relevante Links verfügbar. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Literatur | Die Leseliste wird während der Vorlesung und auf der Web-Seite der Vorlesung bekannt gegeben. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Voraussetzungen / Besonderes | Erwartet werden solide Kenntnisse in Analysis (Approximation und Vectoranalysis: grad, div, curl) und linearer Algebra (Gauss-Elimination, Matrixzerlegungen, sowie Algorithmen, Vektor- und Matrizenrechnung: Matrixmultiplikation, Determinante, LU-Zerlegung nicht-singulärer Matrizen). | ||||||||||||||||||||||||||||||||||||||||||||||||||
Kompetenzen |
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401-3667-23L | Case Studies Seminar (Spring Semester 2023) | 3 KP | 2S | V. C. Gradinaru, R. Hiptmair, R. Käppeli, M. Reiher | |||||||||||||||||||||||||||||||||||||||||||||||
Kurzbeschreibung | In the CSE Case Studies Seminar invited speakers from ETH, from other universities as well as from industry give a talk on an applied topic. Beside of attending the scientific talks students are asked to give short presentations (10 minutes) on a published paper out of a list. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Lernziel | |||||||||||||||||||||||||||||||||||||||||||||||||||
Inhalt | In the CSE Case Studies Seminar invited speakers from ETH, from other universities as well as from industry give a talk on an applied topic. Beside of attending the scientific talks students are asked to give short presentations (10 minutes) on a published paper out of a list (containing articles from, e.g., Nature, Science, Scientific American, etc.). If the underlying paper comprises more than 15 pages, two or three consecutive case studies presentations delivered by different students can be based on it. Consistency in layout, style, and contents of those presentations is expected. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Voraussetzungen / Besonderes | The talks ar in presence only (no zoom)! Student talks are in parallel sessions in the two rooms, the invited talks take place in the larger lecture hall. 75% attendance and a short presentation on a published paper out of a list or on some own project are mandatory. Students have to register their presentations online until the second Wednesday of the semester on https://rw.ethz.ch/the-programme/case-studies.html The student talks will be grouped by subject, so we'll decide the actual dates of the individual talks. Students that realize that they will not fulfill this criteria have to contact the teaching staff or de-register before the end of semester from the Seminar if they want to avoid a "Fail" in their documents. Later de-registrations will not be considered. | ||||||||||||||||||||||||||||||||||||||||||||||||||
Kompetenzen |
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