This paper is devoted to the investigation on convergence of solutions and Ε½ . asymptotic integration of some functional differential equations FDEs . In the first part of the paper, some convergence criteria are obtained, and an invariance principle is established for the convergence of solutions o
Product integration for finite-part singular integral equations: Numerical asymptotics and convergence acceleration
β Scribed by B. Bertram; O. Ruehr
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 1005 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We develop a fast fully discrete Fourier-Galerkin method for solving a class of singular boundary integral equations. We prove that the number of multiplications used in generating the compressed matrix is O(n log 3 n), and the solution of the proposed method preserves the optimal convergence order
## Abstract In this paper we reexamine a previously proposed quadrature scheme, [VENTURINO], based on a formula proposed in [STENGER, 1976]. Our goal is to establish a stability result for the dominant singular integral equation of index one, and from it derive the error analysis for the proposed n