10 resultados para GENERALIZED PSEUDOSPECTRAL METHOD

em Bulgarian Digital Mathematics Library at IMI-BAS


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The basic methods of decisions making in multi-criterion conditions are considered, from which the method of the weighed total for calculation of diagnostic indexes significance in differential diagnostics of dermatological diseases is chosen.

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The paper has been presented at the International Conference Pioneers of Bulgarian Mathematics, Dedicated to Nikola Obreshko ff and Lubomir Tschakaloff , Sofi a, July, 2006.

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We consider a model eigenvalue problem (EVP) in 1D, with periodic or semi–periodic boundary conditions (BCs). The discretization of this type of EVP by consistent mass finite element methods (FEMs) leads to the generalized matrix EVP Kc = λ M c, where K and M are real, symmetric matrices, with a certain (skew–)circulant structure. In this paper we fix our attention to the use of a quadratic FE–mesh. Explicit expressions for the eigenvalues of the resulting algebraic EVP are established. This leads to an explicit form for the approximation error in terms of the mesh parameter, which confirms the theoretical error estimates, obtained in [2].

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The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.

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* This work was supported by National Science Foundation grant DMS 9404431.

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Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.

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2000 Mathematics Subject Classification: 47H04, 65K10.

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2002 Mathematics Subject Classification: 62P35, 62P30.

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2000 Mathematics Subject Classification: 47H04, 65K10.

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2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.