Titlebook: Numerical Analysis and Its Applications; 4th International Co Svetozar Margenov,Lubin G. Vulkov,Jerzy Wa?niewski Conference proceedings 200

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Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils, ?0 is an eigenvalue of . with algebraic (resp. ?geometric) multiplicity . (.?=?.???.?≤?.)..We consider the pencil ..(.)?=?(.???.)?+?.., defined for . which depends on the complex parameter .. We analyze how its structure evolves as the parameter . varies, by means of conceptual tools borrowed from

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Numerical Integration with Complex Jacobi Weight Functionrameters. The problem arises in some applications of computational models in quantum mechanics. We discuss two methods for integration. One is suitable for integration of analytic functions and the other is applicable to the general Riemann integrable functions.

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Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation the heat conduction equation, the finite difference/linear finite element Crank-Nicolson type full discretization process is a widely used approach. In this paper we formulate the discrete qualitative properties and we also analyze the condition w.r.t. the discretization step sizes under which the

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Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problemrarily small, which induces boundary layers. We extend the numerical method and its maximum norm error analysis of the paper [N.?Kopteva: Math.?Comp. 76 (2007) 631–646], in which a parametrization of the boundary . is assumed to be known, to a more practical case when the domain is defined by an ord

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Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Acconn conditions are given, is considered..Traditional difference schemes with semi-constant steps along axes precisely approximate Dirichlet conditions hence it is expected that their accuracy order increases approaching to corresponding part of boundary .. This paper is dedicated to quantitative inve

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