Automatic algorithm for monotone trend removal
AbstractThe available numerical algorithms for trend removal require a direct subjective intervention in choosing critical parameters. In this paper an…
2007
On the long time energy conservation by high order geometric integrators
AbstractThe main aim of this paper is to investigate the long-time behavior of three high order geometric integrators, namely an…
Global random walk modeling of transport in complex systems
AbstractThe Global random walk algorithm performs simultaneously the tracking of large collections of particles and permits massive simulations at reasonable…
On the self-averaging of dispersion for transport in quasi-periodic random media
AbstractIn this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in heterogeneous…
Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin
Abstract AuthorsN. Suciu Institute of Applied Mathematics, Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen, Germany C. Vamos T. Popoviciu Institute of…
Memory effects and ergodicity for diffusion in spatially correlated velocity fields
AbstractWe show that the process of diffusion in statistically homogeneous velocity fields with finite correlation range “remembers” the shape and…
Order 1 autoregressive process of finite length
AbstractThe stochastic processes of finite length defined by recurrence relations request additional relations specifying the first terms of the process analogously to…
On a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
On an Aitken type method
Abstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…
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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