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

On some one-step implicit methods as dynamical systems

8 years ago

AbstractThe one-step implicit methods, the backward Euler being the most known, require the solution of a nonlinear equation at each…

Spectral methods in linear stability. Applications to thermal convection with variable gravity field

8 years ago

AbstractThe onset of convection in a horizontal layer of fluid heated from below in the presence of a gravity field…

Accurate numerical solutions to stationary free surface problems from capillarity

8 years ago

AbstractThe paper considers two static problems from capillarity. The first one consists in the determination of the surface of a…

Stable spectral collocation solutions to Cauchy problems for nonlinear dispersive wave equations

8 years ago

AbstractIn this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging nonlinear…

On the numerical treatment of the eigenparameter dependent boundary conditions

8 years ago

AbstractIn this paper, we consider the numerical treatment of singular eigenvalue problems supplied with eigenparameter dependent boundary conditions using spectral…

Laguerre collocation solutions to boundary layer type problems

8 years ago

AbstractIn this paper a Laguerre collocation type method based on usual Laguerre functions is designed in order to solve high…

Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics

8 years ago

AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

8 years ago

AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…

Analytical and numerical solutions to an electrohydrodynamic stability problem

8 years ago

AbstractA linear hydrodynamic stability problem corresponding to an electrohydrodynamic convection between two parallel walls is considered. The problem is an…

Spectral collocation solutions to multiparameter Mathieu’s system

8 years ago

AbstractOur main aim is the accurate computation of a large number of specified eigenvalues and eigenvectors of Mathieu’s system as…

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