Piecewise polynomial approximation on optimal meshes
β Scribed by H.G Burchard; D.F Hale
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 889 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The problem of approximating functions is considered in a general domain in one and two dimensions using piecewise polynomial interpolation. An error estimator is proposed which shows how to adaptively determine the interpolation degree. Numerical examples are given.
## Abstract A method for finding the optimal control of linear singular systems with a quadratic cost functional using piecewise linear polynomial functions is discussed. The state variable, state rate, and the control vector are expanded in piecewise linear polynomial functions with unknown coeffi
A new algorithm for piecewise linear approximation of discrete functions is presented in the first part of the paper. Experience indicates that it is both faster and achieves better data reduction than one presented earlier. In the second part a measure of similarity of waveforms proposed in a recen