Introduction to the theory of approximating the solutions of equations

23 Nov 2017
Book summaryTo be completed. AuthorIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy TitleOriginal title (in Romanian) Introducere în…

Remarks on solving the systems of equations by iterative methods

23 Nov 2017
Abstract In this paper we give a condition for the convergence of an iterative method of Gauss-Seidel type  \[ x_i =…

Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields

22 Nov 2017
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…

Publications

Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems

December 10, 2020
Călin-Ioan Gheorghiu
(preprint), eigenvalue/eigenvector problems, Numerical Analysis, paper
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…
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Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

December 3, 2020
Călin-Ioan Gheorghiu
(preprint), eigenvalue/eigenvector problems, Numerical Analysis, paper
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…
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Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems

December 2, 2020
Călin-Ioan Gheorghiu
(preprint), eigenvalue/eigenvector problems, Numerical Analysis, paper
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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