Christoph Schwab: Catalogue data in Autumn Semester 2022 |
| Name | Prof. Dr. Christoph Schwab |
| Field | Mathematik |
| Address | Seminar für Angewandte Mathematik ETH Zürich, HG G 57.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 35 95 |
| Fax | +41 44 632 10 85 |
| christoph.schwab@sam.math.ethz.ch | |
| URL | http://www.sam.math.ethz.ch/~schwab |
| Department | Mathematics |
| Relationship | Full Professor |
| Number | Title | ECTS | Hours | Lecturers | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 401-2653-21L | Numerical Analysis I   | 7 credits | 3V + 2U | C. Schwab | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Abstract | This course will give an introduction to mathematical analysis of numerical methods, aimed at mathematics majors. It covers numerical linear algebra, quadrature, interpolation and approximation methods as well as their error analysis and implementation. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Objective | Knowledge of the fundamental numerical methods, their mathematical foundation as well as `numerical literacy': application of numerical methods for the solution of application problems, mathematical foundations of numerical methods, and basic mathematical methods of the analysis of stability, consistency and convergence of numerical methods, MATLAB implementation. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Content | Rounding errors, direct solution of linear systems of equations, iterative solution of systems of nonlinear equations, interpolation and approximation (polynomial as well as trigonometric), least squares problems, extrapolation, numerical quadrature, elementary optimization methods, fast Fourier transformation. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lecture notes | Lecture Notes and reading list will be available. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literature | Lecture Notes (german or english) will be made available to registered students of ETH BSc MATH. Quarteroni, Sacco and Saleri, Numerische Mathematik 1 + 2, Springer Verlag 2002 (in German). There is an English version of this text, containing both German volumes, from the same publisher. If you feel more comfortable with English, you can follow this text as well. Content and Indexing are identical in the German and the English text. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Prerequisites / Notice | Admission Requirements: Completed courses and passed written exams Linear Algebra I, Analysis I in ETH BSc MATH Linear Algebra II, Analysis II in ETH BSc MATH Weekly homework assignments involving MATLAB programming are an integral part of the course. Turn-in of solutions will be graded. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Competencies |
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| 401-5650-00L | Zurich Colloquium in Applied and Computational Mathematics | 0 credits | 1K | R. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter, C. Schwab | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Abstract | Research colloquium | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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