## The iterates of positive linear operators with the set of constant functions as the fixed point set

AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…

AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…

Abstract In this paper, we give some general results on the asymptotic relationship between the solutions of a linear differential…

AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the Cauchy problem…

AbstractThis paper represents a continuation of our previous work, where a mathematical model which describes the equilibrium of an elastic…

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

AbstractWe are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona Mahony-Burgers…

AbstractProbability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They…

AbstractEvolution equations for probability density functions (PDFs) and filtered density functions (FDFs) of random species concentrations weighted by conserved scalars…

AbstractProbability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They…

Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…

Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…

Read More Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…

Read More AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…

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