Numerical Inversion of a Laplace Transform

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Previous article Next article Numerical Inversion of a Laplace TransformR. A. SpinelliR. A. Spinellihttps://doi.org/10.1137/0703056PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] F. Tricomi, Transformazione di Laplace e polinomi di Laguerre. I, R. C. Accad. Lincei (6), 21 (1935), 232–239 Google Scholar[2] D. V. Widder, An application of Laguerre polynomials, Duke Math. J., 1 (1935), 126–136 10.1215/S0012-7094-35-00113-2 MR1545871 0012.15801 CrossrefGoogle Scholar[3] H. Bateman, Two systems of polynomials for the solution of Laplace's integral equation, Duke Math. J., 2 (1936), 569–577 10.1215/S0012-7094-36-00248-X MR1545948 0015.11502 CrossrefGoogle Scholar[4] A. Erdélyi, Inversion formulae for the Laplace transformation, Philos. Mag. (7), 34 (1943), 533–537 MR0008434 0060.25204 CrossrefGoogle Scholar[5] Athanasios Papoulis, A new method of inversion of the Laplace transform, Quart. Appl. Math., 14 (1957), 405–414 MR0082734 0077.11402 CrossrefGoogle Scholar[6] D. J. Newman, Numerical method for solution of an elliptic Cauchy problem, J. Math. and Phys., 39 (1960/1961), 72–75 MR0114306 0097.11902 CrossrefGoogle Scholar[7] Wilhelm Magnus and , Fritz Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics, Chelsea Publishing Company, New York, N.Y., 194978–80 & 129 MR0029000 0039.07202 Google Scholar[8] F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956x+511 MR0075670 0070.12401 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Solution of partial fuzzy integro-differential equations by double natural transform Cross Ref Solution of Linear Fuzzy Fractional Differential Equations Using Fuzzy Natural Transform6 November 2021 | Earthline Journal of Mathematical Sciences Cross Ref Application of double fuzzy natural transform for solving fuzzy partial equations Cross Ref Certain aspect of fuzzy differential equations in electric circuit problems Cross Ref Applications of the double fuzzy Sumudu transform for solving Volterra fuzzy integral equations Cross Ref Queues with Dropping Functions and Autocorrelated Arrivals20 December 2016 | Methodology and Computing in Applied Probability, Vol. 20, No. 1 Cross Ref Queues with Dropping Functions and General Arrival Processes4 March 2016 | PLOS ONE, Vol. 11, No. 3 Cross Ref Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations1 July 2015 | Entropy, Vol. 17, No. 12 Cross Ref Remarks on numerical algorithms for computing the inverse Laplace transform3 January 2014 | Ricerche di Matematica, Vol. 63, No. 2 Cross Ref ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion4 September 2012 | Numerical Algorithms, Vol. 63, No. 1 Cross Ref Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relationApplied Mathematics and Mechanics, Vol. 23, No. 1 Cross Ref Depth profiling of strain using micro-Raman measurements7 June 2001 | Semiconductor Science and Technology, Vol. 16, No. 7 Cross Ref On the regularization of the inverse laplace transform in grazing-emission X-ray fluorescence spectroscopyInverse Problems in Engineering, Vol. 7, No. 5 Cross Ref Exponential analysis in physical phenomenaReview of Scientific Instruments, Vol. 70, No. 2 Cross Ref A Study of X-Ray Residual Stress Gradient Analysis in Thin Layers with Strong Fibre Texturephysica status solidi (a), Vol. 166, No. 2 Cross Ref Evaluation of stress gradients ??ij(z) from their discrete laplace transforms ??ij(τk) obtained by x-ray diffraction performed in the scattered vector modePhysica Status Solidi (a), Vol. 156, No. 2 Cross Ref Laplace transform inversion and padé-type approximantsApplied Numerical Mathematics, Vol. 3, No. 6 Cross Ref Numerical Inversion of Laplace Transforms Cross Ref Finite element method and laplace transform—Comparative solutions of transient heat conduction problemsComputers & Structures, Vol. 4, No. 5 Cross Ref REFERENCES Cross Ref Transient heat conduction in non-homogeneous spherical systemsWärme- und Stoffübertragung, Vol. 3, No. 4 Cross Ref A multidata method of approximate Laplace transform inversionInternational Journal for Numerical Methods in Engineering, Vol. 2, No. 2 Cross Ref Bibliography Cross Ref Bibliography Cross Ref Volume 3, Issue 4| 1966SIAM Journal on Numerical Analysis History Submitted:08 April 1966Published online:14 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0703056Article page range:pp. 636-649ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics