Monotone iterations for decreasing maps in ordered Banach spaces
AbstractIn this paper we propose a version of the monotone iterations method for decreasing maps in ordered Banach spaces. In…
1995
Monotone technique to the initial values problem for a delay integral equation from biomathematics
Abstract We present a constructive method for solving (1)-(2) under hypotheses (i)-(iv) by assuming that function \(f(t,x)\) is monotone with…
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…
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 (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper: on the journal website. Latex version of the…
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 \(X\)…