(original) Archives | Tiberiu Popoviciu Institute of Numerical Analysis

Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

2 Jul at 7:50 am

AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential…

Numerical benchmark study for flow in highly heterogeneous aquifers

9 Apr at 2:49 pm

AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…

Common fixed points for Presic operators via simulation functions

19 Feb at 11:30 am

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

19 Feb at 10:47 am

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“

19 Feb at 9:30 am

AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…

Qualitative properties of solutions for mixed type functional-differential equations with maxima

19 Feb at 8:18 am

AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima,…

Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem

31 Jan at 12:39 pm

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

10 Dec 2019

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

10 Dec 2019

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

10 Dec 2019

AbstractIn this note we consider a general compound approximation operator using binomial sequences and we give a representation for its…

Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

Numerical benchmark study for flow in highly heterogeneous aquifers

Common fixed points for Presic operators via simulation functions

Some fixed point results regarding convex contractions of Presić type

Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“

Qualitative properties of solutions for mixed type functional-differential equations with maxima

Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem

Approximation operators constructed by means of Sheffer sequences

On an approximation operator and its Lipschitz constant

Compound operators constructed with binomial and Sheffer sequences

Publications

Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

Spectral collocation solutions to a class of pseudo-parabolic equations

Numerical benchmark study for flow in highly heterogeneous aquifers

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