Laurent-Pad&acute;e approximation for locating singularities of meromorphic functions with valuesgiven on simple closed contours

Capcelea Maria; Capcelea Titu

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594

Ultima descărcare din IBN:
2023-12-01 14:36

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similare conform CZU

517.53+517.9 (4)

Анализ (301)

Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243)

SM ISO690:2012

CAPCELEA, Maria, CAPCELEA, Titu. Laurent-Pad´e approximation for locating singularities of meromorphic functions with valuesgiven on simple closed contours. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 2(93), pp. 76-87. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 2(93) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322

Laurent-Pad´e approximation for locating singularities of meromorphic functions with values
given on simple closed contours

CZU: 517.53+517.9

MSC 2010: 65E05, 41A21.

Pag. 76-87

Capcelea Maria, Capcelea Titu

Moldova State University

Proiecte:

Menționat în lucrare: 20.80009.5007.13

Metode deterministe și stocastice de soluționare ale problemelor de optimizare și control

Disponibil în IBN: 18 septembrie 2020

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Rezumat

In the present paper the Pad´e approximation with Laurent polynomials is examined for a meromorphic function on a finite domain of the complex plane. Values of the function are given at the points of a simple closed contour from this domain. Based on this approximation, an efficient numerical algorithm for locating singular points of the function is proposed.

Cuvinte-cheie
Pad´e approximation, Meromorphic function, simple closed contour, localization of singular points

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