ROS2S method

[termi-official]

What kind of problems is it mostly used for? Please describe.

Semi-discretizations of $H^1 \times L_2$ solution fields.

Describe the algorithm you’d like

Stabilized Rosenbrock with special linear solution handling of the $L_2$ fields (Schur-complement reduction). Could also well for some stiff ODEs without special structure.

Other implementations to know about

References

Original paper is here https://doi.org/10.1016/j.apnum.2012.08.001 . The specialized solver is described here https://doi.org/10.1016/j.cma.2009.12.011 and can probably be reused across all other Rosenbrock methods.

[ChrisRackauckas]

Any reason why this would be preferred over the new Ros23W scheme?

[termi-official]

Do you mean Rodas23W? If so, then I am not sure if it is also stiffly accurate and this would be the selling point of ROS2S.

[ChrisRackauckas]

It is