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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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Numerical solution of two transcendental equations
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by Luciano Misici PDF
Math. Comp. 42 (1984), 589-595 Request permission


This paper deals with the study of the transcendental equations: $\sin (s + v)/(s + v) = \pm \sin (s - v)/(s - v)$, where $v = {({s^2} - {\gamma ^2})^{1/2}}$. These equations are obtained in the study of some boundary value problems for a modified biharmonic equation using the Papkovich-Fadle series. Some numerical solutions obtained with an iterative procedure are given.
  • Daniel D. Joseph, The convergence of biorthogonal series for biharmonic and Stokes flow edge problems, SIAM J. Appl. Math. 33 (1977), no. 2, 337–347. MR 443511, DOI 10.1137/0133021
  • L. M. de Socio & L. Misici, "Convezione in un mezzo poroso causata da sorgenti di calore," Aereotecnica Missili e Spazio, v. 60, no. 4, 1980, pp. 201-206. H. C. Brinkman, "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles," Appl. Sci. Res., v. A1, 1947, pp. 27-34. H. C. Brinkman, "On the permeability of media consisting of closely packed porous particles," Appl. Sci. Res., v. A1, 1947, pp. 81-86. L. M. de Socio, G. Gaffuri & L. Misici, "Stokes flow in a rectangular well. Natural convection and boundary layer function," Quart. Appl. Math., v. 39, 1982, pp. 499-508. G. H. Hardy, "On the zeros of the integral function $x - \sin x$," Messenger Math. n.s., v. 31, 1902, pp. 161-165.
  • James A. Ward, The down-hill method of solving $f(z)=0$, J. Assoc. Comput. Mach. 4 (1957), 148–150. MR 92227, DOI 10.1145/320868.320873
  • J. A. Bach, "On the downhill method," Comm. ACM, v. 12, 1969, pp. 675-677.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 589-595
  • MSC: Primary 65H05; Secondary 65N25
  • DOI:
  • MathSciNet review: 736454