PUBLICATIONS IN PROCEEDINGS OF SYMPOSIA

The asymptotic expansion of Legendre functions of large order. Abstract. In Proceedings of the International Congress of Mathematicians 2, North-Holland, Amsterdam, 1954, p. 152.

Error bounds for asymptotic expansions, with an application to cylinder functions of large argument. In Asymptotic Solutions of Differential Equations and their Applications (C. H. Wilcox, ed.), Wiley, New York, 1964, pp. 163-183.

Error bounds for asymptotic expansions of special functions in the complex plane. In Error in Digital Computation (L. B. Rall, ed.), 2, Wiley, New York, 1965, pp.55-75.

Evaluation of special functions. In Proceedings of IFIP Congress 65, 2 (W. A. Kalenich, ed.), Spartan Books, Washington, DC, 1966, pp. 604-605.

Recent error analysis of asymptotic solutions of linear differential equations. In International Conference on Differential Equations (H. A. Antosiewicz, ed.), Academic Press, New York, 1975, pp. 636-645.

Unsolved problems in the asymptotic estimation of special functions. In Theory and Application of Special Functions (R. A. Askey, ed.), Academic Press, New York, 1975, pp. 99-142.

Uniform asymptotic expansions and singular perturbations. In Asymptotic Methods and Singular Perturbations (R. E. O'Malley, Jr., ed.), SIAM-AMS Proceedings 10, American Mathematical Society, Providence, RI, 1976, pp. 105-117.

Unrestricted algorithms for generating elementary functions. In Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) (G. Alefeld and R. D. Grigorieff, eds.), Computing Suppl. 2, Springer-Verlag, New York, 1980, pp. 131-140.

The general connection-formula problem for linear differential equations of the second order. In Singular Perturbations and Asymptotics (R. E. Meyer and S. V. Parter, eds.), Academic Press, New York, 1980, pp. 317-343.

Error analysis of complex arithmetic. In Computational Aspects of Complex Analysis (H. Werner, L. Wuytack, E. Ng and H. J. Bunger, eds.), D. Reidel Publishing Company, Dordrecht, 1983, pp. 279-292.

Unrestricted algorithms for mathematical functions. In Rend. Sem. Mat. Univ. Politec. Torino, Special Issue (1985), pp. 237-248.

Simplified error bounds for Newton's rule. In Rev. Téc. Fac. Ingr. Univ. Zulia 9, Edición Especial (1986), pp. 71-77.

The level-index number system. In Bull. Inst. Math. Appl. 22 (1986), pp. 182-185.

A closed computer arithmetic. In Proceedings of the Eighth Symposium on Computer Arithmetic (M. J. Irwin and R. Stefanelli, eds.), IEEE Computer Society Press, Washington, DC, 1987, pp. 139-143. Reprinted in Computer Arithmetic, v. 2 (E. Swartzlander, Jr., ed.), IEEE Computer Society Press, Los Alamitos, 1990, pp. 360-364.

Implementation of level-index arithmetic using partial table look-up. In Proceedings of the Eighth Symposium on Computer Arithmetic (M. J. Irwin and R. Stefanelli, eds.), IEEE Computer Society Press, Washington, DC, 1987, pp. 144-147. (With P. R. Turner.)

Closure and precision. In Numerical Analysis and Parallel Processing (P. R. Turner, ed.), Lecture Notes in Mathematics 1397, Springer-Verlag, New York, 1989, pp. 124-130.

Generalized exponentials and logarithms; surface fitting; conclusions. In Numerical Analysis and Parallel Processing (P. R. Turner, ed.), Lecture Notes in Mathematics 1397, Springer-Verlag, New York, 1989, pp. 156-164.

Rounding errors in algebraic processes—in level-index arithmetic. In Reliable Numerical Computation (M. G. Cox and S. Hammarling, eds.), Clarendon Press, Oxford, 1990, pp. 197-205.

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.

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. 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.)

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, Birkhäuser, Basel, 1994, pp. 497-510.

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.

Resurgence in difference equations, with an application to Legendre functions. In Special Functions (Charles Dunkl, Mourad Ismail, and Roderick Wong, eds.), World Scientific, 2000, pp. 221-235.

 

Updated 6/24/09