## Contents of Volume 18, Number 85

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- On certain finite difference schemes for hyperbolic systems
- John Gary PDF
- Math. Comp.
**18**(1964), 1-18

- Bounds on the truncation error by finite differences for the Goursat problem
- A. K. Aziz and B. E. Hubbard PDF
- Math. Comp.
**18**(1964), 19-35

- On the round-off error in the method of successive over-relaxation
- M. Stuart Lynn PDF
- Math. Comp.
**18**(1964), 36-49

- Implicit Runge-Kutta processes
- J. C. Butcher PDF
- Math. Comp.
**18**(1964), 50-64

- Error analysis of Miller’s recurrence algorithm
- F. W. J. Olver PDF
- Math. Comp.
**18**(1964), 65-74

- The second-order term in the asymptotic expansion of $B(x)$
- Daniel Shanks PDF
- Math. Comp.
**18**(1964), 75-86

- On the factors of certain Mersenne numbers. II
- John Brillhart PDF
- Math. Comp.
**18**(1964), 87-92

- Three new Mersenne primes and a statistical theory
- Donald B. Gillies PDF
- Math. Comp.
**18**(1964), 93-97

- Asymptotic computation of the repeated integrals of the error function complement
- W. R. Wilcox PDF
- Math. Comp.
**18**(1964), 98-105

- An approximation to the integral of the circular Gaussian distribution over an offset ellipse
- J. H. Cadwell PDF
- Math. Comp.
**18**(1964), 106-112

- A finite difference exponential approximation method
- J. W. Layman PDF
- Math. Comp.
**18**(1964), 113-118

- A new algorithm for diagonalizing a real symmetric matrix
- C. Donald LaBudde PDF
- Math. Comp.
**18**(1964), 118-123

- The calculation of certain Bessel functions
- D. B. Hunter PDF
- Math. Comp.
**18**(1964), 123-128

- Tables of zeros of cross product Bessel functions \[ J’_p(\xi ) Y’_p(k\xi ) - J’_p(k\xi ) Y’_p(\xi ) = 0.\]
- Helmut F. Bauer PDF
- Math. Comp.
**18**(1964), 128-135

- On convergence criteria for the method of successive over-relaxation
- C. G. Broyden PDF
- Math. Comp.
**18**(1964), 136-141

- On inverses of finite segments of the generalized Hilbert matrix
- Jean-L. Lavoie PDF
- Math. Comp.
**18**(1964), 141-143

- The ideal Waring theorem for exponents $401-200,000$
- Rosemarie M. Stemmler PDF
- Math. Comp.
**18**(1964), 144-146

- Fermat numbers and Mersenne numbers
- J. L. Selfridge and Alexander Hurwitz PDF
- Math. Comp.
**18**(1964), 146-148

- Lucas’ test for Mersenne numbers, $6000<p<7000$
- Sidney Kravitz and Murray Berg PDF
- Math. Comp.
**18**(1964), 148-149

- Note on the congruence $a^{p-1}=1$ $(\textrm {mod}$ $p^{2})$
- Hans Riesel PDF
- Math. Comp.
**18**(1964), 149-150

- Reviews and Descriptions of Tables and Books
- Math. Comp.
**18**(1964), 151-174

- Table Errata
- Math. Comp.
**18**(1964), 175-178