Rima Alaifari: Catalogue data in Spring Semester 2019 |
Name | Prof. Dr. Rima Alaifari |
Field | Applied Mathematics |
Address | Seminar für Angewandte Mathematik ETH Zürich, HG G 59.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 32 00 |
rima.alaifari@sam.math.ethz.ch | |
URL | http://www.sam.math.ethz.ch/~rimaa |
Department | Mathematics |
Relationship | Assistant Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-5650-00L | Zurich Colloquium in Applied and Computational Mathematics | 0 credits | 1K | R. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, A. Jentzen, S. Mishra, S. Sauter, C. Schwab | |
Abstract | Research colloquium | ||||
Learning objective | |||||
406-0663-AAL | Numerical Methods for CSE Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 8 credits | 17R | R. Alaifari | |
Abstract | Introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. | ||||
Learning objective | * 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 in C++ | ||||
Content | 1. Computing with Matrices and Vectors 2. Direct Methods for Linear Systems of Equations 3. Direct Methods for Linear Least Squares Problems 4. Filtering Algorithms 5. Data Interpolation and Data Fitting in 1D 6. Approximation of Functions in 1D 7. Numerical Quadrature 8. Iterative Methods for Non-linear Systems of Equations 12. Numerical Integration - Single Step Methods 13. Single Step Methods for Stiff Initial Value Problems | ||||
Lecture notes | https://people.math.ethz.ch/~grsam/HS16/NumCSE/NumCSE16.pdf | ||||
Literature | 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 U. Ascher and C. Greif "A first course in Numerical Methods" | ||||
Prerequisites / Notice | Examination will be conducted at the computer and will involve coding in C++/Eigen. A course covering the material is taught in English every autumn term (course unit 401-0663-00L). Course documents, exercises and examinations are available online. |