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

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Conference proceedings 2009ns, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concer
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Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils Homotopic Deviation theory [1,8]. The new feature is that, because . varies in ., we can look at what happens in the limit when |.| → ∞. This enables us to propose a remarkable connection between the algebraic theory of Weierstrass and the Cauchy analytic theory in . as |.| → ∞.
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Minimal Simplex for IFS Fractal Setsor, such simplex exists and it is unique. Such simplex is then used for definition of an Affine invariant Iterated Function System (AIFS) that then can be used for affine transformation of a given fractal set and for its modeling.
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Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Accohence it is expected that their accuracy order increases approaching to corresponding part of boundary .. This paper is dedicated to quantitative investigation of this boundary effect. It is also shown that analogous boundary effect in the mesh knots takes place also for finite-element method (super convergence).
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An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Di Under certain assumptions on the coefficients in the differential equations, a bound on the maximum-norm error in the computed solution is established; this bound is independent of the values of the singular perturbation parameter. Numerical results are presented to illustrate the performance of the numerical method.
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