Stability of Approximate Factorization with Omega-Methods. Modelling, Analysis211 and Simulation

摘要

Approximate factorization seems for certain problems a viable alternative to time211u001esplitting. Since a splitting error is avoided, accuracy will in general be 211u001efavorable compared to time splitting methods. However, it is not clear to what 211u001eextent stability is affected by factorization. Therefore the authors study here 211u001ethe effects of factorization on a simple, low order method, namely the theta-211u001emethod. For this simple method it is possible to obtain rather precise results, 211u001eshowing limitations of the approximate factorization approach.