**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 C**^{2} or G^{2} , (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.