Some remarks on the use of rational functions as variational functions
โ Scribed by P. Jolly; K. V. Sane; R. P. Saxena; P. K. Srivastava
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 254 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0020-7608
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โฆ Synopsis
Abstract
When a Padรฉโtype function is used as a trial function, it is necessary to investigate the location of singularities and the zeros of the optimized function. It is shown that an unacceptable wave function can sometimes yield numerically acceptable values because of the nature of the integration procedure. It is also shown that it is possible to remove the undesirable features of a lower order form by invoking the next approximation.
๐ SIMILAR VOLUMES
## Abstract A major drawback of the penalty function method in solving constrained variational problems is the difficulty in choosing suitable penalty parameters that are large enough to effect a constraint but small enough to avoid computational problems. This problem stems from the fact that the
~t ~s i ## I l -i s n R arbitrary The function 11./1 is a norm on the set V , of all functions f wit,h f ( 0 ) = 0. supplied with this norm I ; , is a BAXACH space. For p=-1 set ct,(f) = Iim sup ( lf(ti) -/(ti -,) i p)i 'p