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http://hdl.handle.net/11701/45454
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Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Lebedeva, Anastasia V. | - |
dc.contributor.author | Ryabov, Victor M. | - |
dc.date.accessioned | 2024-05-30T15:34:02Z | - |
dc.date.available | 2024-05-30T15:34:02Z | - |
dc.date.issued | 2024-03 | - |
dc.identifier.citation | Lebedeva A.V., Ryabov V.M. Characteristics of convergence and stability of some methods for inverting the Laplace transform. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 115–130. https://doi.org/10.21638/spbu01.2024.107 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2024.107 | - |
dc.identifier.uri | http://hdl.handle.net/11701/45454 | - |
dc.description.abstract | The problem of inversion of the integral Laplace transform, which belongs to the class of ill-posed problems, is considered. Integral equations are reduced to ill-conditioned systems of linear algebraic equations, in which the unknowns are either the coefficients of the series expansion in terms of special functions, or the approximate values of the desired original at a number of points. Various inversion methods are considered and their characteristics of accuracy and stability are indicated, which must be known when choosing an inversion method for solving applied problems. Quadrature inversion formulas are constructed, which are adapted for the inversion of long-term and slow processes of linear viscoelasticity. A method of deformation of the integration contour in the Riemann-Mellin inversion formula is proposed, which leads the problem to the calculation of certain integrals and allows obtaining error estimates. | en_GB |
dc.description.sponsorship | This paper was prepared with the support by a grant from St. Petersburg State University Event 3 (Pure ID 75207094). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 1 | - |
dc.subject | Laplace transform | en_GB |
dc.subject | Laplace transform inversion | en_GB |
dc.subject | integral equations of the first kind | en_GB |
dc.subject | quadrature formulas | en_GB |
dc.subject | ill-posed problems | en_GB |
dc.subject | ill-conditioned problems | en_GB |
dc.title | Characteristics of convergence and stability of some methods for inverting the Laplace transform | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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Файл | Описание | Размер | Формат | |
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115-130.pdf | 313,57 kB | Adobe PDF | Просмотреть/Открыть |
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