Smoothed projection methods for the moment problem.
Smoothing effect and regularity for evolution integrodifferential systems
Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes.
Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets.
Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.
Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions.
Solving the Abel integral equation by interpolation methods
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some limit properties of the best determined terms method
Some possibilities in solving operator equations using non stationary iterative method
Some properties of the functional equation .
Some stochastic properties of the best determined terms method
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit
In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [25, 26] and show that the kernel modes that define the spectral method have the correct...
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit
In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [CITE] and show that the kernel modes that define the spectral method have the correct...
Spline Collocation for Singular Integro-differential Equations over (0, 1).
Spline collocation for strongly elliptic equations on the torus.
Spline qualocation methods for boundary integral equtions.
Splinefunktionen bei der Lösung von Integralgleichungen.
Splitting d'opérateur pour l'équation de transport neutronique en géométrie bidimensionnelle plane
Splitting d'opérateur pour l'équation de transport neutronique en géométrie bidimensionnelle plane
The aim of this work is to introduce and to analyze new algorithms for solving the transport neutronique equation in 2D geometry. These algorithms present the duplicate favors to be, on the one hand faster than some classic algorithms and easily to be implemented and naturally deviced for parallelisation on the other hand. They are based on a splitting of the collision operator holding amount of caracteristics of the transport operator. Some numerical results are given at the end of this work. ...