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On the Accuracy of Quadrature Laplace Transform Inversion and the Solution of State Space Equations
(University of Nairobi., 1978)
A quadrature formula is shown to be an approximation of the power-series method of inverting Laplace transforms. This together with the properties of the constants derived from a power-series expansion of the Padé approximation ...
Properties of constants for a quadrature formula to evaluate Bromwich’s integral.
(University of Nairobi., 1976)
Further analytical and empirical properties of the weights and abscissae of a quadrature formula for evaluating Bromwich's integral are described. These are then used to determine the parameters which ensure that a set of ...
An Error Analysis and Convergence of a Quadrature Formula to Invert Laplace Transforms
(University of Nairobi., 1977)
The use of an expression for the exponential function exp(st) in Bromwich's integral, which incorporates a Padé approximation, yields a well known quadrature formula and its error terms. The error is then analysed for ...
Convergence of Padé Kernel Approximants to the Delayed Dirac Function
(University of Nairobi., 1980)
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 ...