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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…

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 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…

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…

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…

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