Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Integration processes based on Radau quadrature formulas


Author: J. C. Butcher
Journal: Math. Comp. 18 (1964), 233-244
MSC: Primary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1964-0165693-1
MathSciNet review: 0165693
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] J. C. Butcher, ``Coefficients for the study of Runge-Kutta integration processes,'' J. Austral. Math. Soc., v.3, 1963, p. 185-201. MR 0152129 (27:2109)
  • [2] J. C. Butcher, ``Implicit Runge-Kutta processes,'' Math. Comp., v.18, 1964, p. 50-64. MR 0159424 (28:2641)
  • [3] M. Radau, ``Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale définie,'' J. Math. Pures Appl., s.3, v.6, 1880, p. 283-336.
  • [4] P. Henrici, Discrete variable methods in ordinary differential equations, 1st edition, Wiley, New York, 1962. MR 0135729 (24:B1772)
  • [5] P. C. Hammer & J. W. Hollingsworth, ``Trapezoidal methods of approximating solutions of differential equations,'' MTAC, v.9, 1959, p. 92-96. MR 0072547 (17:302g)
  • [6] L. Bieberbach, Theorie der Differentialgleichungen, Dover Publications, New York, 1944. MR 0011350 (6:153a)
  • [7] M. Lotkin, ``On the accuracy of Runge-Kutta's method,'' MTAC, v.5, 1951, p. 128-132. MR 0043566 (13:286c)
  • [8] H. A. Antosiewicz & W. Gautschi, ``Numerical methods in ordinary differential equations,'' in A Survey of Numerical Analysis (Editor, J. Todd), McGraw-Hill Book Company, New York, 1962. MR 0136075 (24:B2114)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.55

Retrieve articles in all journals with MSC: 65.55


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1964-0165693-1
Article copyright: © Copyright 1964 American Mathematical Society

American Mathematical Society