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Approximate formulae for numerical inversion of Laplace transforms. (English) Zbl 0924.65135

The procedures described in this paper are expected to be useful in inverting rational as well as irrational or transcendental functions of a complex variable \({\mathcal S}\). The required accuracy of the results are expected to be enhanced without changing the algorithm, only at the cost of a longer computation time. Some examples have been cited.
Reviewer: C.L.Koul (Jaipur)

MSC:

65R10 Numerical methods for integral transforms
44A10 Laplace transform
44A20 Integral transforms of special functions
65R20 Numerical methods for integral equations
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[1] Zakian, Electron. Lett. 6 pp 677– (1970)
[2] and , Computer Methods for Circuit Analysis and Design, 2 Edn, Van Nostrand Reinhold, New York, 1994, ISBN 0-442-01194-6.
[3] Singhal, J. Franklin Inst. 299 pp 109– (1975) · Zbl 0313.65051
[4] ’One method of numerical inversion of Laplace transforms’ (in Czech), in Technique of Electrical Machines - Theoretical Issue, 1975, Brno, pp. 9-18.
[5] Hosono, Radio Sci. 16 pp 1015– (1981)
[6] and , Functions of a Complex Variable: Theory and Technique, McGraw-Hill, New York, 1966.
[7] Numerical Methods for Science and Engineering, Prentice-Hall Int., Englewood Cliffs, New Jersey, 1961. · Zbl 0123.32003
[8] and , Electronic Filter Design Handbook, McGraw-Hill, New York, 1995.
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