Inequalities for Information Potentials and Entropies
AbstractWe consider a probability distribution \((p_0(x), p_1(x), . . .)\) depending on a real parameter \(x\). The associated information potential…
ISI/JCR
Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…
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…
Existence and uniqueness of the solution for an integral equation with supremum
AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…
On the Burton method of progressive contractions for Volterra integral equations
AbstractIn the paper [4] the author give a new method to study the existence and uniqueness of a solution on…
Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics
AbstractIt is well established that spectral collocation methods based on classical orthogonal polynomials, in spite of their high order accuracy,…
Testing Bose-Einstein condensate dark matter models with the SPARC galactic rotation curves data
AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is…
Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima,…
On the two-dimensional inverse problem of dynamics
AbstractAuthorsKeywordsReferencesPDFScanned paper. Latex version of the paper. Cite this paper as:Pal A., Anisiu M.C., On the two-dimensional inverse problem of dynamics,…
Inhomogeneous potentials producing hemogeneous orbits
AbstractAuthorsKeywordsReferencesPDFScanned paper. Latex version of the paper. Cite this paper as:Bozis G., Anisiu M.C., Blaga C., Inhomogeneous potentials producing hemogeneous orbits,…
Publications
Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media
AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices according to specific random walk rules. The occupation number of…
Read More Functional differential equations with maxima, via step by step contraction principle
AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019, I. A. Rus formalized this notion (I. A. Rus, Some…
Read More How many steps still left to x*?
(original), (survey), Convergence orders, Fixed point theory, history, ISI/JCR, iterative methods, local convergence, Newton method, nonlinear equations in R, Numerical Analysis, paper, secant/chord method, successive approximations
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Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac {|x^\ast – x_{k+1}|}{|x^\ast – x_k|^{p_0}}\in(0,+\infty), \end{equation} \begin{equation}\tag{$Q$} \lim \frac {\ln…
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