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This category marks all the ICTP posts containing the pdf file of the paper/book.

Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line

8 years ago

AbstractWe make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results of…

A survey on the high convergence orders and computational convergence orders of sequences

8 years ago

This is the first paper which surveys the rigorous definitions and relations of convergence orders (the Q-orders; the C-orders; the…

A modified Chebyshev-tau method for a hydrodynamic stability problem

8 years ago

AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…

Application of the Jacobi-Davidson method to accurate analysis of singular linear hydrodynamic stability problems

8 years ago

AbstractThe aim of this paper is to show that the Jacobi–Davidson (JD) method is an accurate and robust method for…

On the Scalar Measure of Non-Normality of Matrices – Dimension vs. Structure

8 years ago

AbstractThe aim of this paper is to analyze the relative importance of the dimension and the structure of the square matrices…

On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient

8 years ago

AbstractA thin liquid layer flowing due to gravity and a surface tension gradient are taken into account. On the liquid/gas…

On the bifurcation and variational approximation of the positive solution of a nonlinear reaction-diffusion problem

8 years ago

Abstract We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion processes. When the reaction term has…

On spectral properties of some Chebyshev-type methods. Dimension vs. structure

8 years ago

AbstractThe aim of the present paper is to analyze the non-normality of the matrices (finite dimensional operators) which result when some…

On the Chebyshev-tau approximation for some singularly perturbed two point boundary value problems – Numerical experiments

8 years ago

AbstractIn this paper we are concerned with numerical stability of Chebyshev-tau method in solving some singularly perturbed two-point boundary value…

A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics

8 years ago

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

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