High Order Runge-Kutta Schemes
by Peter Stone
Details of some Runge-Kutta schemes which I have constructed in the last few years are provided here.
Since I retired I have no longer any connection with an accademic institution and I do not wish to attempt to publish this work formally.
However, if you make use of these schemes please make some acknowledgement of where you obtained them.
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construction of 31 stage combined order 11 and 12 Runge-Kutta schemes
first scheme with small principal error
second scheme with small principal error
scheme with a moderately large stability region
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construction of a 25 stage order 12 Runge-Kutta scheme with an order 9 embedded scheme
scheme with small principal error
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Further details involving the construction of these schemes can be obtain from relevant Maple worksheets.
Main page for access to Maple worksheets on Runge-Kutta schemes
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