Publications of Rekha P. Kulkarni

1) A New Superconvergent Collocation Method for Eigenvalue Problems, , Accepted for publication in { Mathematics of Computation.}

2) On improvement of the iterated Galerkin solution of the second kind integral equations, Accepted for publication in { Journal of Numerical Mathematics.}

3) Approximate Solution of Multivariable Integral Equations of the Second Kind, { Journal of Integral Equations and Applications,} 16(2004), 343-374.

4) Spectral Refinement using a New Projection Method (with N. Gnaneshwar) { ANZIAM J.}, 46(2004), 203-224.

5) A Superconvergence Result for Solutions of Compact Operator Equations, { Bulletin of the Australian Mathematical Society}, 68(2003), 517-528.

6) A New Projection Method for Approximate Solutions of Eigenvalue Problems, { Numerical Functional Analysis and Optimization}, 24(2003), 75-84.

7) Iterated Discrete Polynomially Based Galerkin Methods, (with N. Gnaneshwar) { Applied Mathematics and Computation}, 146(2003), 153-165.

8) A New Superconvergent Projection Method { Proceedings of Integral Methods in Science and Engineering,} (IMSE 02) Birkhauser, Boston, Edited by M. Ahues, C. Constanda and A. Largillier, 109-114.

9) Spectral Approximation using Iterated Discrete Galerkin Method , (with N. Gnaneshwar), { Numerical Functional Analysis and Optimization}, 23(2002), 91-104.

10) Accelerated Spectral Refinenment, Part II : Cluster of Eigenvalues, (with R. Alam and B. V. Limaye), { ANZIAM J.} 42 (2000), 224-243.

11) Accelerated Spectral Refinement, Part I : Simple Eigenvalue, (with R. Alam and B. V. Limaye), J. of Austral Math. Soc. (series B), 41(2000),487-507.

12) Accelerated Spectral Approximation, (with R. Alam and B. V. Limaye), Mathematics of Computation, 67(1998),1401-1422.

13) Use of extrapolation for Improving the order of Convergence of Eigenelement Approximations, IMA Journal of Numerical Analysis, 17(1997),271-284.

14) Boundedness of Adjoint Bases of approximate spectral subspaces and of associated block reduced resolvents, (with R. Alam and B. V. Limaye), Numerical Functional Analysis and Optimization, 17(1996),473-502.

15) Non-affine Blossoms and subdivision for Q-splines, (with P. J. Laurent and M. L. Mazure), Mathematical methods in Computer Aided Geometric Design II, T. Lyche and L.L. Schumaker (eds.), Academic Press, (1992), 367-380.

16) Q-splines, (with P. J. Laurent), Numerical Algorithms, 1(1991),45-73.

17) Pseudo-cubic weighted splines can be C2 or G2 , (with P. J. Laurent), Curves and Surfaces, P.J. Laurent, A.LeMehauté & L.L. Schumaker (eds.), Acamademic Press, New York, (1991), 271-274.

18) Solution of a Schrödinger equation by iterative refinement, (with B. V. Limaye), J. of Austral Math. Soc. (series B), 32(1990),115-132.

19) On the error estimates for the Rayleigh-Schrodinger series and the Kato-Rellich Perturbation series, (with B. V. Limaye), J. of Austral. Math. Soc. (Series A) 46 (1989), 456-468.

20) On error bounds for odd degree interpolatory splines, Methods of Functional Analysis in Approximation Theory, C.A. Micchelli, D.V. Pai, B.V. Limaye (eds.), Birkhauseer Verlag, ISNM 76, (1985), 75-88.

21) Geometric and semigeometric approximation of spectral projections, (with B. V. Limaye), Journal of Mathematical Analysis and Applications, 101 (1984), 139-159.

22) On the steps of convergence of approximate eigenvectors in the Rayleigh-Schrödinger series, (with B. V. Limaye),
Numerische Matheamtik, 42 (1983), 31-50.

23) On error bounds in strong approixmations for eigenvlaue problems, (with B. V. Limaye), J. Austral. Math. Soc. (Series B), 22(1981), 270-283.