Publications of F.W.J. Olver since 1990
- On Stokes' phenomenon and converging factors. In Asymptotic and
Computational Analysis (R. Wong, ed.), Lecture Notes in Pure and
Applied Mathematics 124, Marcel Dekker, New York, 1990,
pp. 329-355.
- Closure and precision in level-index arithmetic, SIAM
J. Numer. Anal. 27 (1990), 1295-1304. (With
D. W. Lozier.)
- Uniform, exponentially improved, asymptotic expansions for the
generalized exponential integral, SIAM J. Math. Anal. 22
(1991), 1460-1474.
- Uniform, exponentially improved, asymptotic expansions for the
confluent hypergeometric function and other integral transforms, SIAM
J. Math. Anal. 22 (1991), 1475-1489.
- Converging factors. In Wave Asymptotics (P.A. Martin and
G.R. Wickham, eds.), Cambridge University Press, 1992, pp. 54-68.
- Exponentially-improved asymptotic solutions of ordinary differential
equations I: The confluent hypergeometric function, SIAM
J. Math. Anal. 24 (1993), 756-767.
- Exponentially-improved asymptotic solutions of ordinary differential
equations. In Ordinary and Partial Differential Equations
(B.D. Sleeman and R.J. Jarvis, eds.), 4, Longman Scientific and
Technical, Harlow, Essex, 1993, pp. 238-247.
- Airy and Bessel functions by parallel integration of ODEs. In
Proc. Sixth SIAM Conference on Parallel Processing for Scientific
Computing, v. 2 (R.F. Sincovec et al., eds.), 1993,
pp. 530-538. (With D.W. Lozier.)
- Asymptotic expansions of the coefficients in asymptotic series
solutions of linear differential equations, Methods Appl. Anal.
1 (1994), 1-13.
- Exponentially improved asymptotic solutions of ordinary differential
equations. II Irregular singularities of rank one,
Proc. Roy. Soc. London Ser. A 445 (1994), 39-56. (With
A. B. Olde Daalhuis.)
- Numerical evaluation of special functions. In Mathematics of
Computation 1943-1993: A Half-Century of Computational Mathematics
(W. Gautschi, ed.), Proceedings of Symposia in Applied Mathematics
48, American Mathematical Society, Providence, RI, 1994,
pp. 79-125. (With D.W. Lozier.)
- The generalized exponential integral. In Approximation and
Computation (R.V.M. Zahar, ed.), International Series of Numerical
Mathematics 119, Birkhauser, Basel, 1994, pp. 497-510.
- On an asymptotic expansion of a ratio of Gamma Functions,
Proc. Roy. Irish Academy Sect. A 95 (1995), 5-9.
- Hyperasymptotic solutions of second-order linear differential
equations I, Methods Appl. Anal. 2 (1995), 173-197. (With
A.B. Olde Daalhuis.)
- On the calculation of Stokes multipliers for linear differential
equations of the second order, Methods Appl. Anal. 2 (1995),
348-367. (With A.B. Olde Daalhuis.)
- Asymptotic solutions of linear ordinary differential equations at an
irregular singularity of rank unity, Methods Appl. Anal. 4
(1997), 375-403.
- Asymptotics and Special Functions, Academic Press, New York,
1974. Reprinted by AK Peters, Wellesley, MA, 1997. Russian
translation: Izdatel'stvo Nauka, Moscow, 1990.
- Advances in the asymptotic and numerical solution of linear ordinary
differential equations. In Recent Advances in Differential
Equations (H-H. Dai and P.L. Sachdev, eds.), Pitman Research Notes
in Mathematics Series 386, Addison Wesley Longman, Harlow,
Essex, 1998, pp. 3-14.
- Practical problems in the solution of high-order linear differential
equations. In Tricomi's Ideas and Contemporary Applied Mathematics,
Atti dei Convegni Lincei 147, Accademia Nazionale dei Lincei,
Rome, 1998, pp.239-249.
- On the asymptotic and numerical solution of linear ordinary
differential equations, SIAM Rev. 40 (1998), 463-495. (With
A.B. Olde Daalhuis.)
- On the uniqueness of asymptotic solutions of linear differential
equations, Methods Appl. Anal. 6 (1999), 165-174.
- On the reversion of an asymptotic expansion and the zeros of the Airy
functions, SIAM Rev. 41 (1999), 762-773. (With
B.R. Fabijonas.)
- World Scientific Series in 20th Century Mathematics,
v. 7, Selected Papers of F.W.J. Olver, Parts I and II (R. Wong,
ed.), World Scientific, Singapore, 2000.
- Resurgence in difference equations, with an application to Legendre
functions. [In Press.]