Search Results - "GRAMMONT, LAURENCE"

An Extension of the Product Integration Method to L1 with Applications in Astrophysics by Grammont, Laurence, Ahues, Mario, Kaboul, Hanane

“…A Fredholm integral equation of the second kind in L 1 ([a, b], ℂ) with a weakly singular kernel is considered. Sufficient conditions are given for the…”
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Influence of the order between discretization and regularization in solving ill-posed problems by Grammont, Laurence, Vasconcelos, Paulo

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Influence of the order between discretization and regularization in solving ill-posed problems by Grammont, Laurence, Vasconcelos, Paulo B.

“…Discretization and regularization are required steps to provide a stable approximation when solving integral equations of the first kind. The integral operator…”
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Low rank approximation in the computation of first kind integral equations with TauToolbox by Vasconcelos, Paulo B., Grammont, Laurence, Lima, Nilson J.

“…Tau Toolbox is a mathematical library for the solution of integro-differential problems, based on the spectral Lanczos' Tau method. Over the past few years, a…”
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Equivalent between constrained optimal smoothing and Bayesian estimation by Grammont, Laurence, Maatouk, Hassan, Bay, Xavier

“…In this paper, we extend the correspondence between Bayesian estima- tion and optimal smoothing in a Reproducing Kernel Hilbert Space (RKHS) by adding convex…”
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Fast and accurate solvers for weakly singular integral equations by Grammont, Laurence, Kulkarni, Rekha, Vasconcelos, Paulo

“…Consider an integral equation u − Tu = f , where T is an integral operator, definedon C[0, 1], with a kernel having an algebraic or a logarithmic singularity…”
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Nonlinear Integral Equations of the Second Kind: A New Version of Nyström Method by Grammont, Laurence

“…We consider the numerical approximation of a nonlinear integral operator equation by the Nyström method. We propose a new way of applying this method which…”
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A new degenerate kernel method for a weakly singular integral equation by Guebbai, Hamza, Grammont, Laurence

“…In order to compute an approximate solution of a weakly singular integral equation, we first regularize the kernel and then truncate the associated Fourier…”
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Equivalence between constrained optimal smoothing and Bayesian estimation by Grammont, L., Maatouk, H., Bay, X.

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A new degenerate kernel method for a weakly singular integralequation by Grammont, Laurence, Guebbai, Hamza

“…In order to compute an approximate solution of a weakly singular integral equation, wefirst regularize the kernel and then truncate the associated Fourier…”
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A new method for interpolating in a convex subset of a Hilbert space by Bay, Xavier, Grammont, Laurence, Maatouk, Hassan

“…In this paper, interpolating curve or surface with linear inequality constraints is considered as a general convex optimization problem in a Reproducing Kernel…”
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Nonlinear Integral Equations of the Second Kind: A New Version of NystrAPGm Method by Grammont, Laurence

“…We consider the numerical approximation of a nonlinear integral operator equation by the NystrAPGm method. We propose a new way of applying this method which…”
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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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A new method for interpolating in a convex subset of a Hilbert space by Bay, Xavier, Grammont, Laurence, Maatouk, Hassan

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Generalization of the Kimeldorf-Wahba correspondence for constrained interpolation by Bay, Xavier, Grammont, Laurence, Maatouk, Hassan

“…In this paper, we extend the correspondence between Bayes' estimation and optimal interpolation in a Reproducing Kernel Hilbert Space (RKHS) to the case of…”
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A modified iterated projection method adapted to a nonlinear integral equation by Grammont, Laurence, Vasconcelos, Paulo B., Ahues, Mario

“…The classical way to tackle a nonlinear Fredholm integral equation of the second kind is to adapt the discretization scheme from the linear case. The Iterated…”
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A product integration type method for solving nonlinear integral equations in $L^1 by Grammont, Laurence, Kaboul, H., Ahues, M.

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A product integration type method for solving nonlinear integral equations in L1 by Grammont, L., Kaboul, H., Ahues, M.

“…This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the…”
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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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An Extension of the Product Integration Method to [L.sub.1] with Applications in Astrophysics by Grammont, Laurence, Ahues, Mario, Kaboul, Hanane

“…A Fredholm integral equation of the second kind in [L.sub.1]([a,b], C) with a weakly singular kernel is considered. Sufficient conditions are given for the…”
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