Currently displaying 1 – 5 of 5

Showing per page

Order by Relevance | Title | Year of publication

Approximation of solutions to second order nonlinear Picard problems with Carathéodory right-hand side

Jacek Gulgowski — 2014

Open Mathematics

We present an approximation method for Picard second order boundary value problems with Carathéodory righthand side. The method is based on the idea of replacing a measurable function in the right-hand side of the problem with its Kantorovich polynomial. We will show that this approximation scheme recovers essential solutions to the original BVP. We also consider the corresponding finite dimensional problem. We suggest a suitable mapping of solutions to finite dimensional problems to piecewise constant...

Numerical detection of bifurcation point in the curve

Jacek Gulgowski — 2015

Mathematica Applicanda

We are presenting a numerical method which detects the presence and position of a  bifurcation simplex, the regular ( k + 1 ) -dimensional simplex, which may be considered as “fat bifurcation point”, in the curve of zeroes of the C 1 map f : ℝ k + 1 → ℝ k . On the other hand the bifurcation simplex appears in the neighbourhood of the bifurcation point, meaning that we have the method to locate the bifurcation point as well. The method does not require any estimation of the derivative of the function f and refers to the values...

Page 1

Download Results (CSV)