68
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

Computation of the padé table

Pages 53-64 | Published online: 21 Dec 2010

References

  • Abramowitz , M. and Stegun , I.A. , eds. 1968 . Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 242 – 242 . New York : Dover .
  • Akin , J.E. and Counts , J. 1969 . The Application of Continued Fractions to Wave Propagation in a Semi-Infinite Elastic Cylindrical Membrane . J. App. Mech. , 36 : 420 – 424 .
  • Akin , J.E. and Counts , J. 1969 . On Rational Approximations to the Inverse Laplace Transform . Siam J. App. Math. , 17 : 1035 – 1040 .
  • Counts , J. and Akin , J.E. 1968 . The Application of Continued Fractions to Wave Propagation Problems in a Viscoelastic Rod , Blacksburg : Virginia Polytechnic Institute . DEMVPI Research Rep. 1-1, Dept. of Engineering Mechanics
  • Longman , I.M. 1966 . The Application of Rational Approximations to the Solution of Problems in Theoretical Seismology . Bull. Seism. Soc. Am. , 56 : 1045 – 1065 .
  • Longman , I.M. 1967 . The Numerical Solution of Theoretical Seismic Problems . Geophys. J. Roy. Astr. Soc. , 13 : 103 – 116 .
  • Longman , I.M. 1968 . On the Numerical Inversion of the Laplace Transform of a Discontinuous Original . Inst. Maths. Applics. , 4 : 320 – 328 .
  • Longman , I.M. 1970 . Computation of Theoretical Seismograms . Geophys. J. Roy. Soc. , 21 : 295 – 305 .
  • Luke , Y.L. 1962 . On the Approximate Inversion of Some Laplace Transforms . Proc. 4th U.S. Nat. Cong. Appl. Mech. , 21 : 269 – 276 .
  • Luke , Y.L. 1964 . Approximate Inversion of a class of Laplace Transforms Applicable to Supersonic Flow Problems . Quart. J. Mech. App. Math. , 21 : 91 – 103 .
  • Perron , O. 1950 . Die Lehre von dem Kettenbrüchen , Vol. 10 , New York : Chelsea .
  • Shanks , D. 1955 . Non-linear Transformations of Divergent and Slowly Convergent Sequences . J. Maths. and Phys. , 34 : 1 – 42 .
  • Wall , H. 1948 . Analytic Theory of Continued Fractions , New York : Van Nostrand .
  • Wynn , P. 1960 . The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion . Math. Comp. , 14 : 147 – 186 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.