## Abstract This paper presents a study of the performance of the nonβlinear coβordinate transformations in the numerical integration of weakly singular boundary integrals. A comparison of the smoothing property, numerical convergence and accuracy of the available nonβlinear polynomial transformati
On weakly mixing Markov operators and non-singular transformations
β Scribed by Michael Lin
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 318 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The mathematical foundations of the application of non-linear transformations to the numerical integration of weakly singular and Cauchy Principal Value (CPV) integrals are revised in this paper. This approach was firstly introduced to compute the singular kernels appearing in the Boundary Element M
Let T β B(H) be an invertible operator with polar decomposition T = UP and B β B(H) commute with T . In this paper we prove that |||P Ξ» BUP 1-Ξ» ||| |||BT |||, where ||| β’ ||| is a weakly unitarily invariant norm on B(H) and 0 Ξ» 1. As the consequence of this result, we have |||f (P Ξ» UP 1-Ξ» )||| |||f