On Weight Functions for Chebyshev Quadrature.
On weighted Ostrowski type inequalities for operators and vector-valued functions.
On well-posedness of the nonlocal boundary value problem for parabolic difference equations.
On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block.
One iterative method concerning the solution of Dirichlet's problem
One new kind of irregular spectra
One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs.
One-dimensional adaptive grid generation.
One-Parameter Bifurcation Analysis of Dynamical Systems using Maple
This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities.* This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.
One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.
One-step and Extrapolation Methods for Differential-Algebraic Systems.
One-step methods for neutral delay-differential equations with state dependent delays
One-step methods for ordinary differential equations with parameters
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
One-step methods for two-point boundary value problems in ordinary differential equations with parameters
A general theory of one-step methods for two-point boundary value problems with parameters is developed. On nonuniform nets , one-step schemes are considered. Sufficient conditions for convergence and error estimates are given. Linear or quadratic convergence is obtained by Theorem 1 or 2, respectively.
One-Step Methods of Any Order for Ordinary Differential Equations with Discontinuous Right-Hand Sides.
On-line wavelet estimation of Hammerstein system nonlinearity
A new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.
Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization.
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent
Opérateurs pseudo-différentiels et classes de Gevrey
Operational Methods in the Environment of a Computer Algebra System
This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...