A survey on the high convergence orders and computational convergence orders of sequences
AbstractTwenty years after the classical book of Ortega and Rheinboldt was published, five definitions for the (Q)-convergence orders of sequences…
(survey)
Diffusion in random velocity fields with applications to contaminant transport in groundwater
AbstractThe process of diffusion in a random velocity field is the mathematical object underlying currently used stochastic models of transport in…
Publications
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 eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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