On irreversibility and turbulence
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy A. Georgescu KeywordsCite…
1995
Marangoni and gravity flows in thin liquid layers
AbstractThe paper presents a comparison between the experimental and caculated data for the Marangoni-type flow, in competition with the gravity…
On the existence and uniqueness of positive solutions of some mildly nonlinear elliptic boundary value problems
AbstractFor a homogeneous Dirichlet problem attached to a semilinear elliptic equation we study the existence and uniqueness of non-negative solutions.…
On the Chebyshev-tau approximation for some singularly perturbed two point boundary value problems – Numerical experiments
AbstractIn this paper we are concerned with numerical stability of Chebyshev-tau method in solving some singularly perturbed two-point boundary value…
On computational complexity in solving equations by Steffensen type methods
Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…
On computational complexity in solving equations by interpolation methods,
Abstract AuthorsIon Păvăloiu KeywordsPDFScanned paper. Latex version of the paper. Cite this paper as:I. Păvăloiu, On computational complexity in solving…
Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences
Abstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…
On some Steffensen-type iterative methods for a class of nonlinear equations
Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…
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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