Ralf Hiptmair: Katalogdaten im Herbstsemester 2016 |
| Name | Herr Prof. Dr. Ralf Hiptmair |
| Lehrgebiet | Mathematik |
| Adresse | Seminar für Angewandte Mathematik ETH Zürich, HG G 58.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telefon | +41 44 632 34 04 |
| Fax | +41 44 632 11 04 |
| ralf.hiptmair@sam.math.ethz.ch | |
| URL | https://www.math.ethz.ch/sam/the-institute/people/ralf-hiptmair.html |
| Departement | Mathematik |
| Beziehung | Ordentlicher Professor |
| Nummer | Titel | ECTS | Umfang | Dozierende | |
|---|---|---|---|---|---|
| 401-0663-00L | Numerical Methods for CSE  | 7 KP | 4V + 2U | R. Hiptmair | |
| Kurzbeschreibung | The course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in C++. | ||||
| Lernziel | * Knowledge of the fundamental algorithms in numerical mathematics * Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms * Ability to choose the appropriate numerical method for concrete problems * Ability to interpret numerical results * Ability to implement numerical algorithms afficiently | ||||
| Inhalt | 1. Direct Methods for linear systems of equations 2. Least Squares Techniques 3. Data Interpolation and Fitting 4. Filtering Algorithms 8. Approximation of Functions 9. Numerical Quadrature 10. Iterative Methods for non-linear systems of equations 11. Single Step Methods for ODEs 12. Stiff Integrators | ||||
| Skript | Lecture materials (PDF documents and codes) will be made available to participants: Lecture document: https://people.math.ethz.ch/~grsam/HS16/NumCSE/NumCSE16.pdf Lecture Git repository: https://gitlab.math.ethz.ch/NumCSE/NumCSE Tablet classroom notes: http://www.sam.math.ethz.ch/~grsam/HS16/NumCSE/NCSE16_Notes/ Lecture recording: http://www.video.ethz.ch/lectures/d-math/2016/autumn/401-0663-00L.html Homework problems: https://people.math.ethz.ch/~grsam/HS16/NumCSE/NCSEProblems.pdf | ||||
| Literatur | U. ASCHER AND C. GREIF, A First Course in Numerical Methods, SIAM, Philadelphia, 2011. A. QUARTERONI, R. SACCO, AND F. SALERI, Numerical mathematics, vol. 37 of Texts in Applied Mathematics, Springer, New York, 2000. W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006. M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002 P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002 | ||||
| Voraussetzungen / Besonderes | The course will be accompanied by programming exercises in C++ relying on the template library EIGEN. Familiarity with C++, object oriented and generic programming is an advantage. Participants of the course are expected to learn C++ by themselves. | ||||
| 401-3667-66L | Case Studies Seminar (Autumn Semester 2016) | 3 KP | 2S | V. C. Gradinaru, R. Hiptmair, M. Reiher | |
| Kurzbeschreibung | In der Lehrveranstaltung Fallstudien präsentieren ETH-interne und -externe Referenten Fallbeispiele aus ihren eigenen Anwendungsgebieten. Zudem müssen die Studierenden einen Kurzvortrag (10 Minuten) halten aus einer Liste von publizierten Arbeiten. | ||||
| Lernziel | |||||
| 401-5650-00L | Zurich Colloquium in Applied and Computational Mathematics | 0 KP | 2K | R. Abgrall, H. Ammari, R. Hiptmair, A. Jentzen, S. Mishra, S. Sauter, C. Schwab | |
| Kurzbeschreibung | Research colloquium | ||||
| Lernziel | |||||
| 406-0663-AAL | Numerical Methods for CSE Belegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben. Alle andere Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen. | 7 KP | 15R | R. Hiptmair | |
| Kurzbeschreibung | he course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in C++. | ||||
| Lernziel | * Knowledge of the fundamental algorithms in numerical mathematics * Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms * Ability to choose the appropriate numerical method for concrete problems * Ability to interpret numerical results * Ability to implement numerical algorithms afficiently | ||||
| Inhalt | 1. Direct Methods for linear systems of equations 2. Least Squares Techniques 3. Data Interpolation and Fitting 4. Filtering Algorithms 8. Approximation of Functions 9. Numerical Quadrature 10. Iterative Methods for non-linear systems of equations 11. Single Step Methods for ODEs 12. Stiff Integrators | ||||
| Skript | Lecture materials (PDF documents and codes) will be made available to participants. | ||||
| Literatur | U. ASCHER AND C. GREIF, A First Course in Numerical Methods, SIAM, Philadelphia, 2011. A. QUARTERONI, R. SACCO, AND F. SALERI, Numerical mathematics, vol. 37 of Texts in Applied Mathematics, Springer, New York, 2000. W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006. M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002 P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002 | ||||
| Voraussetzungen / Besonderes | Solid knowledge about fundamental concepts and technques from linear algebra & calculus as taught in the first year of science and engineering curricula. The course will be accompanied by programming exercises in C++ relying on the template library EIGEN. Familiarity with C++, object oriented and generic programming is an advantage. Participants of the course are expected to learn C++ by themselves. | ||||