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Summer School
Unstable Problems and
Differential Equations
Joint Brasilian-German Summer
School in Mathematics
Instituto Nacional de Mathematica Pura e
Aplicada (IMPA)
22.11.-03.12.2004
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Scientific and Social Program
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Numerical
methods for ordinary and partial differential equations
(G. Rapin)
- Introduction to MATLAB
- Initial and boundary value problems for ordinary
differential equations
- Euler method, Runge-Kutta methods, stability and
convergence theory
- Partial differential equations and the Finite
Element method
- Adaptivity
- Mixed Problems, Navier-Stokes equations
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Unstable Numerical
methods (H. Kriete)
- Chaos in discrete and continuous dynamical systems
- Iteration theory
- Dynamics of iterative solution methods like the Euler method
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Inverse Problems
(Th. Hohage)
- Applications for inverse problems in physics, medicine
and finance
- Introduction to spectral theory
- spectral regularisation methods
- A-posteriori parameter choices
- Convergence theory of regularisation methods
- Tikhonov regularisation for non-linear problems
- iterative regularisation methods
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Social Program (U. Engels)
- political, cultural and economical system in Germany
- educational system in Germany, scholarships
- sports, for example yoga or fitness training
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Math-Net
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