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

On the flow of a viscous thin layer on an inclined solid plane driven by a constant surface tension gradient

8 years ago

AbstractSteady flow of a thin layer (trickle, rivulet) of viscous fluid down an inclined surface is considered, via a thin-film…

Spectral collocation solutions to systems of boundary layer type

8 years ago

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

All roots spectral methods: Constraints, floating point arithmetic and root exclusion

8 years ago

Abstract The nonlinear two-point boundary value problem (TPBVP for short) \[u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,\] offers several insights into spectral methods. First, it…

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation

8 years ago

AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation

8 years ago

AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…

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…

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