(Presentation by Titus Pinta) An introduction to the Chebfun computing system
On Wednesday, January 30, 2019, 11:00, Mr. Titus Pinţa will make the following presentation at the Institute Seminar: An introduction…
Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory
AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…
Iterates of Bernstein type operators on a square with one curved side via contraction principle
AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…
An iterative method for a functional-differential equation of second order with mixed type argument
Abstract In this paper we shall study a functional differential equation of second order with mixed type argument. For this…
Ulam stability for a delay differential equation
AbstractWe study the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a delay differential equation. Some examples are given. AuthorsD. Otrocol (Tiberiu…
Iterates of multivariate Cheney-Sharma operators
AbstractUsing the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators.…
Systems of functional differential equations with maxima, of mixed type
AbstractIn this paper we study some properties of the solutions of a second order system of functional differential equations with maxima,…
Qualitative properties of a functional differential equation
AbstractThe aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the fixed point…
Some properties of solutions of a functional-differential equation of second order with delay
AbstractExistence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of…
Some properties of solutions of the homogeneous nonlinear second order differential equations
Abstract In this paper we consider the following nonlinear homogeneous second order differential equations, \(F(x,y,y^{\prime},y^{\prime\prime})=0.\) We present for the solutions,…
Publications
Diffusion in Random Fields. Applications to Transport in Groundwater
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 Methods of Newton and Newton-Krylov type
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 Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions
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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