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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 12, Pages 2133–2139 (Mi zvmmf9804)

Special quadrature rules for Laplace transform inversion

A. V. Lebedeva, V. M. Ryabov

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Quadrature rules for Laplace transform inversion are studied that are adapted to the inversion of transforms corresponding to slowly varying long processes characteristic of linear viscoelasticity problems. The convergence of special quadrature rules for Laplace transform inversion is proved.

Key words: Laplace transform, Laplace transform inversion, quadrature rules, convergence of quadrature rules, linear viscoelasticity problem, singular kernels.

UDC: 519.644.5

Received: 12.05.2012


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:12, 1597–1602

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