Improved traditional Rosenbrock–Wanner methods for stiff ODEs and DAEs

What is it about?

Rosenbrock--Wanner methods are linear-implicit time integrators, which means, that only linear systems have to be solved. Therefore this class of methods can be applied on fluid and structural problems, but one-step methods have often order reduction. In this paper new ROW are developed which has no order reduction.

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Why is it important?

In the case of the incompressible Navier-Stokes equations the order of the pressure component reduces to 1 or 2. With the new methods order 3 is possible.

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