Found 39 relevant results in 2.69s where lecturer="Ralf Hiptmair"
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This course gives an introduction into the mathematical theory of inverse problems, techniques for their regularization and numerical methods to solve them. It covers(i) linear ill-posed operator equations, (ii) impedance tomography (iii) inverse acoustic scattering.
Hierarchische Matrizen sind ein Verfahren zur Matrixkompression, das auf Niedrig-Rang-Appoximation von Bloecken einer Matrix basiert. In diesem Seminar soll das Konzept hierarchischer Matrizen erarbeitet werden, ebenso wie Operationen auf hierarchischen Matrizen einschliesslich der Invertierung, siehehttp://www.sam.math.ethz.ch/~hiptmair/Seminars/HMAT
Multiscale iterative solvers
Multiscale Iterative Solvers
Introduction into theoretical and implementational aspects of fast multilevel iterativesolvers for discretized (elliptic) boundary value problems. The course addressesmultigrid methods, wavelet based schemes, operator preconditioning, and domaindecomposition methods. Practical exercises rely on MATLAB.
The central topic of this course is the numerical treatment of ordinary differential equations. It focuses on the derivation, analysis, efficient implementation, and practical application of single step methods and pay particular attention to structure preservation.
Numerical Analysis Proseminar: Numerical Methods for Oscillatory Integrals
Proseminar Numerische Mathematik: Numerische Methoden für oszillatorische Integrale
The seminar involves presentations based on mathematical journal articles devoted to numerical methods for oscillatory integrals. Both theoretical and algorithmic issues are covered.
This course gives a comprehensive introduction into the numerical treatment of elliptic boundary value problems and parabolic evolution problems. Emphasis is on theory and the foundations of numerical methods.Practical exercises include MATLAB and python implementations of finite difference methods, finite element methods and time integration schemes.
Numerical Mathematics for CSE
Numerische Mathematik für CSE
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 covers the theory as well as practical examples which are done in MATLAB.
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++.
Introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology.
Introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology.
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 python.
This course treats numerical methods for hyperbolic initial-boundary value problems, ranging from wave equations to the equations of gas dynamics. The principal methods discussed in the course are finite volume methods, including TVD, ENO and WENO schemes. Exercises involve implementation of numerical methods in MATLAB.
Derivation, properties, and implementation of fundamental numerical methods for a few key partial differential equations, for instance, convection-diffusion, heat equation, wave equation, conservation laws, Stokes equations, Maxwell equations. Implementation in C++ based on a 2D finite element library.
Derivation, properties, and implementation of fundamental numerical methods for a few key partial differential equations,among them (convection)-diffusion and heat equations, wave equation, conservation laws. Implementation in C++ based on a finite element library.
The seminar covers theory and applications of port-Hamiltonian system models based on current literature. The various topics have to be presented by groups of students.
The seminar covers theory and algorithms for rational interpolation based on classical and modern literature. The various topics have to be presented by groups of students.
Seminar in Numerical Analysis
Seminar in Numerische Mathematik
Term project with focus on the implementation of sophisticated numerical methods in MATLAB
The seminar covers recent research articles on the theory and numerical treatment of volume integral equations for acoustic and electromagnetic scattering problems.
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