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On fifth order Runge-Kutta methods (1995)

Butcher, J. C.

Springer

BIT 35 (1995), S. 202-209

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ISSN: 1572-9125

Keywords: Runge-Kutta methods ; order conditions

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A 6 stage Runge-Kutta method is derived with the property that its order is 5 when used to solve a scalar differential equation but only 4 when used to solve a general system of differential equations. The existence of such a method underlines the necessity of carrying out theoretical analyses in a vector valued setting rather than in a one-dimensional setting as in the work of Kutta and some more recent authors.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01737162

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