Integreat`RK`
Integreat`RK`

RKCollocation

RKCollocation[{c1,c2,…}]

constructs a collocation method with abscissae ci.

Details and Options

  • With a list of abscissae of length , RKCollocation gives an stage Runge–Kutta method of order and stage order at least .
  • RKCollocation provides dense output based on the underlying collocation polynomial.

Examples

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Basic Examples  (2)

Construct a generic, 2 stage collocation method:

The 3 stage Lobatto IIIA method:

Use the dense output:

Possible Issues  (1)

Collocation points must be distinct:

Tech Notes
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  • Runge–Kutta Methods