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Description: |
The birth of the discipline numerics is due to the invention of modern computers in the forties of the last century. The main task was to learn to live with the deficiencies of computers, which are the limited memory space, that only a finite number of arithmetical operations can be carried out and that these can not be performed accuartely. We briefly touch on the development of numerics and computers which made that it is now possible to solve large problems of very high complexity. This development gave rise to a new field and new curricula: Computational Science and Engineering, CSE. We then describe CSE. Classically one tried to understand phenomena by developing mathematical theories based on observations and experiments. The need to use simulations to understand phenomena is exemplified. After a brief introduction to ordinary differential equations we concentrate on models based on such equations. In particular we focus on the control of robots used in industry and in the space shuttle. As examples where a very large number of equations have to be solved simulations of particle beams in accelerators, transonic flow around disk and three dimensional combustion are given. To show the importance of mathematical modelling we look at transport problems in particular the shallow water equations which governs weather and climate models, tsunamis but also debris flow.
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| Start Date: |
2011-12-07 |
| Start Time: |
15:00 |
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Speaker: |
Rolf Jeltsch (ETH Zurich, Switzerland)
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Institution: |
ETH Zurich, Switzerland
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Place: |
Room 2.4
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See more:
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