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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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An iterative method for the numerical inversion of Laplace transforms
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by Cristina Cunha and Fermin Viloche PDF
Math. Comp. 64 (1995), 1193-1198 Request permission

Abstract:

We present an algorithm for the numerical inversion of Laplace transforms that is a particular case of the iterated regularization method proposed by Vainikko in 1982. To construct the finite-dimensional space, we use Laguerre polynomials. Error bounds for the approximations are derived.
References
    A. Erdélyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Higher transcendental functions, Vol. 2, McGraw-Hill, New York, 1953. D. Gottlieb and S. Orszag, Numerical analysis of spectral methods, SIAM, Philadelphia, PA, 1977.
  • C. W. Groetsch, J. T. King, and D. Murio, Asymptotic analysis of a finite element method for Fredholm equations of the first kind, Treatment of integral equations by numerical methods (Durham, 1982) Academic Press, London, 1982, pp. 1–11. MR 755337
  • J. Thomas King and David Chillingworth, Approximation of generalized inverses by iterated regularization, Numer. Funct. Anal. Optim. 1 (1979), no. 5, 499–513. MR 546129, DOI 10.1080/01630567908816031
  • Eberhard Schock, Comparison principles for iterative methods, Inverse and ill-posed problems (Sankt Wolfgang, 1986) Notes Rep. Math. Sci. Engrg., vol. 4, Academic Press, Boston, MA, 1987, pp. 185–193. MR 1020315
  • G. M. Vainikko, The discrepancy principle for a class of regularization methods, U.S.S.R. Comput. Math. and Math. Phys. 22 (1982), 1-19.
  • V. V. Vasin, Iterative methods for the approximate solution of ill-posed problems with a priori information and their applications, Inverse and ill-posed problems (Sankt Wolfgang, 1986) Notes Rep. Math. Sci. Engrg., vol. 4, Academic Press, Boston, MA, 1987, pp. 211–229. MR 1020317
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1193-1198
  • MSC: Primary 65R30; Secondary 65R10
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1297467-2
  • MathSciNet review: 1297467