Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods
Solving the Task Assignment Problem with a Variable Neighborhood Search
In this paper a variable neighborhood search (VNS) approach for the task assignment problem (TAP) is considered. An appropriate neighborhood scheme along with a shaking operator and local search procedure are constructed specifically for this problem. The computational results are presented for the instances from the literature, and compared to optimal solutions obtained by the CPLEX solver and heuristic solutions generated by the genetic algorithm. It can be seen that the proposed VNS approach reaches...
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Solving variational inclusions by a method obtained using a multipoint iteration formula.
Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions
We prove the existence of a sequence satisfying , where f is a function whose second order Fréchet derivative ∇²f satifies a center-Hölder condition and F is a set-valued map from a Banach space X to the subsets of a Banach space Y. We show that the convergence of this method is superquadratic.
Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes
A general class of nonconforming meshes has been recently studied for stationary anisotropic heterogeneous diffusion problems, see Eymard et al. (IMA J. Numer. Anal. 30 (2010), 1009–1043). Thanks to the basic ideas developed in the stated reference for stationary problems, we derive a new discretization scheme in order to approximate the nonstationary heat problem. The unknowns of this scheme are the values at the centre of the control volumes, at some internal interfaces, and at the mesh points...
Some algebraic aspects of multigrid methods
Some algorithm for computing local parameters of quartic interpolatory splines
Some algorithm for testing convexity of histogram
Some algorithms for quartic smoothing splines
Some applications and numerical methods for orthogonal polynomials
Some applications of parabolic differential equations of Allen-Cahn type in image processing
Some applications of probability generating function based methods to statistical estimation
After recalling previous work on probability generating functions for real valued random variables we extend to these random variables uniform laws of large numbers and functional limit theorem for the empirical probability generating function. We present an application to the study of continuous laws, namely, estimation of parameters of Gaussian, gamma and uniform laws by means of a minimum contrast estimator that uses the empirical probability generating function of the sample. We test the procedure...
Some applications of the Pascal matrix to the study of numerical methods for differential equations
In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.
Some approximate formulas
Some asymptotic error estimates for finite element approximation of minimal surfaces
Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially symmetric channels
Some characterizations of totally nonpositive (totally negative) matrices.
Some comparison theorems for nonnegative splittings of matrices.
Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.