Title: From Classical Numerical Mathematics to Scientific Computing

The challenge of Numerical Mathematics by the fast development of the computer technology has changed this field continuously. The need of efficient algorithms is described. Their development is supported by certain principles as ``hierarchical structures'', and ``adaptivity'', ``decomposition''. These principles and their interactions are demonstrated in the lecture.

1991 Mathematics Subject Classification: AMS 65N, 65R, 65Y, 35A40, 45L10

Keywords and Phrases: Scientific Computing, Algorithms, pde, boundary value problems, Adaptivity, Decomposition

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