Numerical Methods: Mathematical Concepts and Implementation
By: Information Technology Center
Speaker: Dr. Michael J. Winckler
- HGS MathComp Administrative Director
- Interdisciplinary Center for Scientific Computing (IWR)
- University of Heidelberg, Germany
- Language: English
- Time and Date: 9:15- 10:30am, 9th March, 2017
- Location: Building A, Room A001, Royal University of Phnom Penh (RUPP), Cambodia
Numerical mathematics is the art of bringing results from all fields of mathematics to the computer in a robust, reliable and fast implementation. This transition from theory to implementation brings with it several aspects that are not directly related to the theoretical results, but have their source in the fact that mathematical representations on a computer are restricted in accuracy and bound to the discreet world of bits and bytes. In this lecture I will address some examples of this problem. The framework to tackle these problems is also defined in mathematical terms - so the solution to the limitations of mathematics on the computer is again part of mathematical theory.
The lecture targets students from all fields of science and engineering and explains the difficulties of programming a solution formula in a computer program. Results have immediate consequences of how we should develop programs for mathematical problems.