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- Rekha P. Kulkarni
- Math. Comput.
- 2006

Here we propose a new method based on projections for the approximate solution of eigenvalue problems. For an integral operator with a smooth kernel, using an interpolatory projection at Gauss points onto the space of (discontinuous) piecewise polynomials of degree ≤ r−1, we show that the proposed method exhibits an error of the order of 4r for eigenvalue… (More)

- Rekha P. Kulkarni
- J. Num. Math.
- 2005

For a second kind integral equation with a kernel which is less smooth along the diagonal, an approximate solution obtained by using a method proposed by the author in an earlier paper, is shown to have a higher rate of convergence than the iterated Galerkin solution. The projection is chosen to be either the orthogonal projection or an interpolatory… (More)

- Rekha P. Kulkarni, Pierre-Jean Laurent
- Numerical Algorithms
- 1991

The classical weighted spline introduced by Ph. Cinquin (1981), (see also K. Salkauskas (1984) and T.A. Foley (1986)) consists in minimizing ∫ a b w(t)(x″(t))2 dt under the conditionsx(t i )=y i ,i=1,...,n, where the functionw is piecewise constant on the subdivisiona<t 1<t 2<...<t n <b. The solution is a cubic spline, but it is notC 2. We consider here the… (More)

- Rafikul Alam, Rekha P. Kulkarni, Balmohan V. Limaye
- Math. Comput.
- 1998

A systematic development of higher order spectral analysis, introduced by Dellwo and Friedman, is undertaken in the framework of an appropriate product space. Accelerated analogues of Osborn’s results about spectral approximation are presented. Numerical examples are given by considering an integral operator.

- Rekha P. Kulkarni, N. Gnaneshwar
- Applied Mathematics and Computation
- 2003

- Laurence Grammont, Rekha P. Kulkarni, T. J. Nidhin
- J. Computational Applied Mathematics
- 2016

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