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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 ...