The concept of information in scientific computing
Abstract
The spectral approximation of discontinuous problems is discussed to show that when the solution is a complicated function the grid point value approximation is not acceptable, and to suggest different ways for the realization of the solution in such cases. The information contained and how to extract it is discussed for the case of a linear hyperbolic operator with variable coefficients and a discontinuous function. A smoothing procedure is outlined and its efficiency is demonstrated. A differential method for extracting information is described. It is shown that the use of digital filters to overcome the Gibbs phenomenon is applicable to this type of problem.
- Publication:
-
In Von Karman Inst. for Fluid Dynamics Computational Fluid Dynamics
- Pub Date:
- 1985
- Bibcode:
- 1985cofd....2S....G
- Keywords:
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- Approximation;
- Computational Fluid Dynamics;
- Information Theory;
- Spectra;
- Computerized Simulation;
- Digital Filters;
- Hyperbolic Differential Equations;
- Iterative Solution;
- Numerical Stability;
- Problem Solving;
- Fluid Mechanics and Heat Transfer