Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems

AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the…

Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics

AbstractIt is well established that spectral collocation methods based on classical orthogonal polynomials, in spite of their high order accuracy,…

Spectral Methods for Differential Problems

Book summarySummary of the book… Book cover Contents clickableI First Part 1 Chebyshev polynomials 1.1 General properties 1.2 Fourier and…

Numerical benchmark study for flow in highly heterogeneous aquifers

AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…

A Chebyshev-Galerkin method for fourth order problems

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

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

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