Posts by ictp

The Ritz variational method for the problem of heat conduction in plates in the plane. Application using test functions in the form of monomials xiyj

Abstract AuthorsDoina Bradeanu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesP. Brădeanu, M. Boncuţ, D. Brădeanu, The Ritz variational method for the problem of heat conduction in…

The application of Kantorovich-Ritz method to the flow of an incompressible potential fluid between two solid walls

Abstract AuthorsDoina Bradeanu Institutul de Calcul Keywords? Paper coordinatesBrădeanu, The application of Kantorovich-Ritz method to the flow of an incompressible potential fluid between two solid walls, Rev. Anal. Numér. Théor.…

Sequences of linear operators defined by using uniformly distributed numerical sequences

Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Cluj-Napoca, Romanian Academy Valeriu Anisiu Babes-Bolyai University, Cluj-Napoca Keywords? Paper coordinatesM.-C. Anisiu, V. Anisiu, Sequences of linear operators defined by using…

Properties of the complexity function for finite words

Abstract The subword complexity function \(p_{w}\) of a finite word \(w\) over a finite alphabet A with card \(A=q\geq1\) is defined by \(p_{w}(n)=\)card \((F(w)\cap A^{n})\) for \(n\in N\), where \(F(w)\)…

Strong forces in Celestial Mechanics

Abstract Strong forces in celestial mechanics have the property that the particle moving under their action can describe periodic orbits, whose existence follows in a natural way from variational principles.…

Special families of orbits in the direct problem of Dynamics

Abstract The direct problem of dynamics in two dimensions is modeled by a nonlinear second-order partial differential equation, which is therefore difficult to be solved. The task may be made…

An alternative point of view on the equations of the inverse problem of Dynamics

Abstract The version of the inverse problem of dynamics considered here is: given a family of planar curves \(f(x,y)=c\), find the potentials \(V(x,y)\) which give rise to this family. Its…

Symmetric periodic orbits in proto-stellar system

Abstract We approach the dynamics in proto-stellar systems via the two-body problem associated to an anisotropic Schwarzschild-type potential. On the basis of the natural symmetries of the characteristic vector field,…

Construction of 3D potentials from a pre-assigned two-parametric family of orbits

Abstract AuthorsMira-Cristiana Anisiu Thomas A Kotoulas Keywords? Paper coordinatesM.-C. Anisiu, Th. Kotoulas, Construction of 3D potentials from a pre-assigned two-parametric family of orbits, Inverse Problems 22 (2006), 2255-2269, http://10.1088/0266-5611/22/6/021 PDFConstruction of 3D…

100 years anniversary of the birth of professor Elena Popoviciu

Professor Elena Popoviciu, a remarkable member of our Institute, was born on August 26, 1924, and this year we celebrate the 100 years anniversary. She has activated at the Institute…