Abstract
In this note new Rosenbrock methods for ODEs, DAEs, PDEs and PDAEs of index 1 are presented. These solvers are of order 3, have 3 or 4 internal stages, and fulfil certain order conditions to obtain a better convergence if inexact Jacobians and approximations of \(\frac{\partial f}{\partial t}\) are used. A comparison with other Rosenbrock solvers shows the advantages of the new methods.
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AMS subject classification (2000)
34A09, 65L80
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Rang, J., Angermann, L. New Rosenbrock W-Methods of Order 3 for Partial Differential Algebraic Equations of Index 1. Bit Numer Math 45, 761–787 (2005). https://doi.org/10.1007/s10543-005-0035-y
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DOI: https://doi.org/10.1007/s10543-005-0035-y