The method of separation of variables for Laplace-Beltrami equation in semi-Riemannian geometry

Kupeli, DN


A semismooth newton method for generalized semi-infinite programming problems
Tezel Özturan, Aysun; Karasözen, Bülent; Department of Mathematics (2010)
Semi-infinite programming problems is a class of optimization problems in finite dimensional variables which are subject to infinitely many inequality constraints. If the infinite index of inequality constraints depends on the decision variable, then the problem is called generalized semi-infinite programming problem (GSIP). If the infinite index set is fixed, then the problem is called standard semi-infinite programming problem (SIP). In this thesis, convergence of a semismooth Newton method for generalize...
An obstruction to finding algebraic models for smooth manifolds with prescribed algebraic submanifolds
CELIKTEN, A; Ozan, Yıldıray (2001-03-01)
Let N ⊆ M be a pair of closed smooth manifolds and L an algebraic model for the submanifold N. In this paper, we will give an obstruction to finding an algebraic model X of M so that the submanifold N corresponds in X to an algebraic subvariety isomorphic to L.
Extension of the logistic equation with piecewise constant arguments and population dynamics
Altıntan, Derya; Akhmet, Marat; Department of Scientific Computing (2006)
Population dynamics is the dominant branch of mathematical biology. The first model for population dynamics was developed by Thomas Malthus. A more complicated model was developed by Pierre François Verhulst and it is called the logistic equation. Our aim in this thesis is to extend the models using piecewise constant arguments and to find the conditions when the models have fixed points, periodic solutions and chaos with investigation of stability of periodic solutions.
Using tropical degenerations for proving the nonexistence of certain nets
Güntürkün, Mustafa Hakan; Arslan, Sefa Feza; Department of Mathematics (2010)
A net is a special configuration of lines and points in the projective plane. There are certain restrictions on the number of its lines and points. We proved that there cannot be any (4,4) nets in CP^2. In order to show this, we use tropical algebraic geometry. We tropicalize the hypothetical net and show that there cannot be such a configuration in CP^2.
Application of the boundary element method to parabolic type equations
Bozkaya, Nuray; Tezer-Sezgin, Münevver; Department of Mathematics (2010)
In this thesis, the two-dimensional initial and boundary value problems governed by unsteady partial differential equations are solved by making use of boundary element techniques. The boundary element method (BEM) with time-dependent fundamental solution is presented as an efficient procedure for the solution of diffusion, wave and convection-diffusion equations. It interpenetrates the equations in such a way that the boundary solution is advanced to all time levels, simultaneously. The solution at a requi...
Citation Formats
D. Kupeli, “The method of separation of variables for Laplace-Beltrami equation in semi-Riemannian geometry,” 1994, vol. 350, p. 279, Accessed: 00, 2020. [Online]. Available: