Maple worksheets on the derivation of order 5 Runge-Kutta schemes

 


Derivation of 6 stage, order 5 Runge-Kutta schemes - RKcoeff5a.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes - RKcoeff5b.mws

Derivation of 6 stage, combined order 4 and 5 Runge-Kutta schemes - RKcoeff5c.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes, each with a 7 stage, order 4 FSAL embedded scheme - RKcoeff5d.mws

Derivation of 6 stage, combined order 4 and 5 Runge-Kutta schemes - RKcoeff5e.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes, each with a 7 stage, order 4 FSAL embedded scheme - RKcoeff5f.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes, each with a 7 stage, order 4 FSAL embedded scheme - RKcoeff5g.mws     RKcoeff5h.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes, each with a 7 stage, order 4 FSAL embedded scheme - RKcoeff5k.mws

Derivation of 6 stage, order 5 Runge-Kutta schemes, each with a 7 stage, order 4 FSAL embedded scheme - RKcoeff5m.mws     RKcoeff5n.mws

Derivation of 7 stage, combined order 4 and 5 Runge-Kutta schemes - RKcoeff5p.mws

Derivation of 7 stage, combined order 4 and 5 Runge-Kutta schemes - RKcoeff5q.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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