Search Results - "Kulkarni, Rekha P."

DISCRETE MODIFIED PROJECTION METHODS FOR URYSOHN INTEGRAL EQUATIONS WITH GREEN’S FUNCTION TYPE KERNELS by Kulkarni, Rekha P., Rakshit, Gobinda

“…In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of…”
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Richardson extrapolation for the discrete iterated modified projection solution by Kulkarni, Rekha P., Rakshit, Gobinda

“…Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a numerical quadrature formula…”
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Asymptotic Expansions for Approximate Solutions of Hammerstein Integral Equations with Green's Function Type Kernels by Kulkarni, Rekha P., Rane, Akshay S.

“…We consider approximation of a nonlinear Hammerstein equation with a kernel of the type of Green's function using the Nyström method based on the composite…”
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Fast and accurate solvers for weakly singular integral equations by Grammont, Laurence, Kulkarni, Rekha P., Vasconcelos, Paulo B.

“…Consider an integral equation λ u - T u = f , where T is an integral operator, defined on C [0, 1],  with a kernel having an algebraic or a logarithmic…”
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Modified projection method for Urysohn integral equations with non-smooth kernels by Grammont, Laurence, Kulkarni, Rekha P., Nidhin, T.J.

“…Consider a nonlinear operator equation x−K(x)=f, where K is a Urysohn integral operator with a Green’s function type kernel. Using the orthogonal projection…”
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A new superconvergent collocation method for eigenvalue problems by Kulkarni, Rekha P.

“…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…”
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MODIFIED PROJECTION AND THE ITERATED MODIFIED PROJECTION METHODS FOR NONLINEAR INTEGRAL EQUATIONS by GRAMMONT, LAURENCE, KULKARNI, REKHA P., VASCONCELOS, PAULO B.

“…Consider a nonlinear operator equation x – K(x) = f, where K is a Urysohn integral operator with a smooth kernel. Using the orthogonal projection onto a space…”
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ASYMPTOTIC ERROR ANALYSIS OF PROJECTION AND MODIFIED PROJECTION METHODS FOR NONLINEAR INTEGRAL EQUATIONS by KULKARNI, REKHA P., NIDHIN, T.J.

“…Consider a nonlinear operator equation x – K(x) = f, where K is a Urysohn integral operator with a smooth kernel. Using the orthogonal projection onto a space…”
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Extrapolation Using a Modified Projection Method by Kulkarni, Rekha P., Grammont, Laurence

“…In [ 14 ], a new method based on projections onto a space of piecewise polynomials of degree ≤r − 1 has been shown to give a convergence of order 4r for…”
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Asymptotic Expansions for Approximate Eigenvalues of Integral Operators with Nonsmooth Kernels by Kulkarni, Rekha P., Rane, Akshay S.

“…We consider approximation of eigenvalues of integral operators with Green's function kernels using the Nyström method and the iterated collocation method and…”
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ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS by KULKARNI, REKHA P., RANE, AKSHAY S.

“…Asymptotic expansions at the node points for approximate solutions of the second kind Fredholm integral equation with a kernel of Green's type function are…”
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Iterated discrete polynomially based Galerkin methods by Kulkarni, Rekha P., Gnaneshwar, N.

“…Golberg and Bowman [Appl. Math. Comput. 96 (1998) 237] have studied polynomially based discrete Galerkin method for Fredholm and Singular integral equations…”
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APPROXIMATE SOLUTION OF MULTIVARIABLE INTEGRAL EQUATIONS OF THE SECOND KIND by KULKARNI, REKHA P.

“…For a multidimensional integral equation of the second kind with a smooth kernel, using the orthogonal projection onto a space of discontinuous piecewise…”
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Discrete modified projection method for Urysohn integral equations with smooth kernels by Kulkarni, Rekha P., Rakshit, Gobinda

“…Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be…”
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Spectral refinement using a new projection method by Kulkarni, Rekha P., Gnaneshwar, N.

“…In this paper we consider two spectral refinement schemes, elementary and double iteration, for the approximation of eigenelements of a compact operator using…”
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APPROXIMATE SOLUTION OF URYSOHN INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS by KULKARNI, REKHA P., NIDHIN, T.J.

“…Consider a nonlinear operator equation x – K(x) = f, where K is a Urysohn integral operator with a kernel of the type of Green's function and defined on L ∞[0,…”
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Accelerated spectral approximation by Alam, Rafikul, Kulkarni, Rekha P., Limaye, Balmohan V.

“…A systematic development of higher order spectral analysis, introduced by Dellwo and Friedman, is undertaken in the framework of an appropriate product space…”
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Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels by Kulkarni, Rekha P, Rakshit, Gobinda

“…Mathematical Modelling and Analysis, 25(3):421-440, 2020 In the present paper we consider discrete versions of the modified projection methods for solving a…”
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Richardson extrapolation for the discrete iterated modified projection solution by Rakshit, Gobinda, Kulkarni, Rekha P

“…Numerical Algorithms, 2019 Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a…”
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Discrete Modified Projection Method for Urysohn Integral Equations with Smooth Kernels by Kulkarni, Rekha P, Rakshit, Gobinda

“…Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be…”
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