An explicit sixth-order Runge-Kutta formula

Author:
H. A. Luther

Journal:
Math. Comp. **22** (1968), 434-436

DOI:
https://doi.org/10.1090/S0025-5718-68-99876-1

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References | Additional Information

**[1]**J. C. Butcher, "On Runge-Kutta processes of high order,"*J. Austral. Math. Soc.*, v. 4, 1964, pp. 179-194. MR**29**#2972. MR**0165692 (29:2972)****[2]**J. C. Butcher, "On the attainable order of Runge-Kutta methods,"*Math. Comp.*, v. 19, 1965, pp. 408-417. MR**31**#4180. MR**0179943 (31:4180)****[3]**H. A. Luther, "Further explicit fifth-order Runge-Kutta formulas,"*SIAM Rev.*, v. 8, 1966, pp. 374-380. MR**34**#3796. MR**0203949 (34:3796)****[4]**H. A. Luther & H. P. Konen, "Some fifth-order classical Runge-Kutta formulas,"*SIAM Rev.*, v. 7, 1965, pp. 551-558. MR**32**#1909. MR**0184437 (32:1909)****[5]**L. D. Gates, Jr., "Numerical solution of differential equations by repeated quadratures,"*SIAM Rev.*, v. 6, 1964, pp. 134-147. MR**29**#6626. MR**0169376 (29:6626)**

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-68-99876-1

Article copyright:
© Copyright 1968
American Mathematical Society