Maple worksheets on the derivation of order 6 Runge-Kutta schemes

 


Order conditions for an order 6 Runge-Kutta scheme - RKcoeff6a.mws

Derivation of 7 stage, order 6 Runge-Kutta schemes - RKcoeff6b.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes - RKcoeff6c.mws

Derivation of 7 stage, order 6 Runge-Kutta schemes - RKcoeff6d.mws

Derivation of 8 stage, combined order 5 and 6 Runge-Kutta schemes - RKcoeff6e.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6f.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6g.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6h.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6k.mws

Derivation of 7 stage, order 6 Runge-Kutta schemes, each with an 8th stage to give an embedded order 5 scheme - RKcoeff6m.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6n.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9 stage order 5 FSAL embedded scheme - RKcoeff6p.mws

Derivation of 7 stage, order 6 Runge-Kutta schemes - RKcoeff6q.mws

Derivation of 7 stage, order 6 Runge-Kutta schemes, each with an 8th stage to give an embedded order 5 scheme - RKcoeff6r.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9th stage to give an embedded order 5 scheme - RKcoeff6s.mws

Derivation of 8 stage, order 6 Runge-Kutta schemes, each with a 9th stage to give an embedded order 5 scheme - RKcoeff6t.mws

Derivation of 7 stage, combined order 6 and 4 Runge-Kutta schemes - RKcoeff6u.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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