Introduction to numerical analysis: 2nd edition
Introduction to numerical analysis: 2nd edition
Numerical inversion of Laplace transforms
Communications of the ACM
Software for an implementation of Weeks' method for the inverse Laplace transform
ACM Transactions on Mathematical Software (TOMS)
Performability Analysis: Measures, an Algorithm, and a Case Study
IEEE Transactions on Computers - Fault-Tolerant Computing
Performability Analysis of Distributed Real-Time Systems
IEEE Transactions on Computers
ACM Transactions on Mathematical Software (TOMS)
Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
Journal of the ACM (JACM)
Busy Period Analysis of a Time-Sharing System: transform inversion
Journal of the ACM (JACM)
Passage time distributions in large Markov chains
SIGMETRICS '02 Proceedings of the 2002 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Response time densities in generalised stochastic petri net models
WOSP '02 Proceedings of the 3rd international workshop on Software and performance
Computing Stochastical Bounds for the Tail Distribution of an M/GI/1 Queue
NETWORKING '00 Proceedings of the IFIP-TC6 / European Commission International Conference on Broadband Communications, High Performance Networking, and Performance of Communication Networks
A Laplace transorm/potential-theoretic method for acoustic propagation in subsonic flows
Journal of Computational Physics
On Range Matrices and Wireless Networks in d Dimensions
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Numerical Transform Inversion Using Gaussian Quadrature
Probability in the Engineering and Informational Sciences
An accurate numerical inversionof Laplace transforms based on the location of their poles
Computers & Mathematics with Applications
Approximation of Semigroups and Related Operator Functions by Resolvent Series
SIAM Journal on Numerical Analysis
ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion
Numerical Algorithms
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A method is described for the numerical inversion of Laplace transforms, in which the inverse is obtained as an expansion in terms of orthonormal Laguerre functions. In order for this to be accomplished, the given Laplace transform is expanded in terms of the Laplace transforms of the orthonormal Laguerre functions. The latter expansion is then reduced to a cosine series whose approximate expansion coefficients are obtained by means of trigonometric interpolation. The computational steps have been arranged to facilitate automatic digital computation, and numerical illustrations have been given.