Numerical benchmark study for flow in highly heterogeneous aquifers
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
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Ergodic simulations of diffusion in random velocity fields
AbstractErgodic simulations aim at estimating ensemble average characteristics of diffusion in random fields from space averages. The traditional approach, based…
Common fixed points for Presic operators via simulation functions
AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…
Some fixed point results regarding convex contractions of Presić type
AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…
Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“
AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…
Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
AbstractAn elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered. For the…
Approximation operators constructed by means of Sheffer sequences
Abstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…
On an approximation operator and its Lipschitz constant
AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Compound operators constructed with binomial and Sheffer sequences
AbstractIn this note we consider a general compound approximation operator using binomial sequences and we give a representation for its…
On compound operators depending on s parameters
AbstractIn this note we introduce a compound operator depending on s parameters using binomial sequences. We compute the values of…