On the use of Green’s formula for the solution of the Navier-Stokes equations
AbstractA general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables is considered. Using the fundamental solution for Laplace…
1991
Remarks on the secant method for the solution of nonlinear operator equations
Abstract Let \(X_{1},X_{2}\) be two Banach spaces and \(f:X_{1}\rightarrow X_{2}\) a nonlinear equation. We study the chord method for solving…
On the convergency of a Steffensen-type method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping. We study the convergence of the Steffensen method for…
On the chord method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping and consider the chord method for solving the…
Publications
Kantorovich type operators associated with Jain-Markov operators
AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction is based on a class of discrete operators representing a…
Read More Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems
AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a specific Strang splitting, that separates linear dissipative effects from conservative…
Read More Approximation of some classes of functions by Landau type operators
Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine functions as fixed points. We focus to reveal approximation properties…
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