Convergence of Padé Kernel Approximants to the Delayed Dirac Function
dc.contributor.author | Rodrigues, AJ | |
dc.date.accessioned | 2013-06-21T06:17:06Z | |
dc.date.available | 2013-06-21T06:17:06Z | |
dc.date.issued | 1980 | |
dc.identifier.citation | IMA J Appl Math (1980) 25 (1): 17-27 | en |
dc.identifier.uri | http://imamat.oxfordjournals.org/content/25/1/17.short | |
dc.identifier.uri | http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/37111 | |
dc.description.abstract | We derive from the solutions of Kummer's equation an expression for the exponential function, which when restricted to integer parameters gives the [M, N] Padé approximation and its error. Laplace inversion, using Bromwich's integral, then yields an approximation of the form Formula to δ(λ − t) the delayed Dirac kernel, in which the constants {αi, v, Ki,v: i = 1, 2 , …,N, ν = M − N + 1} are those of the partial fraction decomposition of the [M, N] Padé approximation. These constants also occur in direct quadrature formulae to invert Laplace transforms. Finally, we show that the kernel approximants converge for λ > t. | en |
dc.language.iso | en | en |
dc.publisher | University of Nairobi. | en |
dc.title | Convergence of Padé Kernel Approximants to the Delayed Dirac Function | en |
dc.type | Article | en |
local.publisher | Department of Mathematics | en |
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