• Publications
  • Influence
A table of integrals of the error functions.
Tabulation of definite and indefinite integrals of products of error function with elementary and transcendental functions
The gravitational field of a disk
This note gives the gravitational potential of the disk {(x, y, z):x2+y2≤p2, z=0} and the gravitational field at the point (x, y, z). Formulas for a ring can be obtained as the difference of our
A table of integrals of the exponential integral.
TLDR
The following table lists the definite and indefinite integrals of products of exponential integrals with elementary or transcendental functions that have been found in the literature.
A TABLE OF INTEGRALS OF THE ERROR FUNCTION. II, ADDITIONS AND CORRECTIONS
Integrals of products of error functions with other functions are presented, taking into account a combination of the error function with powers, a combination of the error function with exponentials
On some indefinite integrals of confluent hypergeometric functions
Confluent hypergeometric functions indefinite integrals analytic expressions and reduction formulas
Symbolic and Algebraic Computation
  • E. W. Ng
  • Mathematics
    Lecture Notes in Computer Science
  • 1979
A study of alternative methods for the symbolic calculation of elliptic integrals
TLDR
The study of several candidate methods for the symbolic integration of a class of irrational expressions R(x,y), where y2 is a polynomial in x and R is a rational function of x and y is described.
Symbolic-Numeric Interface: a review (in absentia)
  • E. W. Ng
  • Computer Science
    EUROSAM
  • 1 June 1979
TLDR
A survey of the use of a combination of symbolic and numerical calculations is presented and it is contended that other less obvious topics such as the fast Fourier transform, linear algebra, nonlinear analysis and error analysis would also benefit from a synergistic approach.
A general algorithm for the solution of Kepler's equation for elliptic orbits
An efficient algorithm is presented for the solution of Kepler's equationf(E)=E−M−e sinE=0, wheree is the eccentricity,M the mean anomaly andE the eccentric anomaly. This algorithm is based on simple
...
1
2
3
4
...