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Runge Kutta DAE solver

version 1.2 (11.4 KB) by

Differential algebraic systems can be solved with an adapted Runge Kutta method.

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This is an adapted Runge Kutta method (theoretical background e.g. in Hairer, Lubich, Roche "The numerical solution of differential-algebraic systems by runge-kutta methods") to solve DAEs. Already implemented is the Radau II A method of stage 1, 2 and 3 but basically every Butcher tableau can be implemented (see code for details). A simple example (the mathematical pendulum) is provided to show the usage. The nonlinear system solver is the newton method, but it can also be exchanged.

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Updates

1.2

- added argument to give an estimated solution

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