Maple worksheets on the derivation of order 7 Runge-Kutta schemes

 


Order conditions for an order 7 Runge-Kutta scheme - RKcoeff7a.mws

Derivation of 10 stage, combined order 6 and 7 Runge-Kutta schemes - RKcoeff7b.mws

Derivation of 11 stage, order 7 Runge-Kutta schemes, each with a 12 stage order 6 FSAL embedded scheme - RKcoeff7c.mws

Derivation of 10 stage, order 7 Runge-Kutta schemes, each with an embedded order 6 scheme - RKcoeff7d.mws

Derivation of 11 stage, combined order 6 and 7 Runge-Kutta schemes- RKcoeff7e.mws

 

Procedures related to the construction of Runge-Kutta schemes - butcher.zip

Procedures for root-finding and determining minimum points  - roots.zip

Procedures for numerical integration  - intg.zip


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