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.