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Zeitschriftenartikel:

W. Auzinger, O. Koch:
"An improved local error estimator for symmetric time-stepping schemes";
Applied Mathematics Letters, 82 (2018), S. 106 - 110.



Kurzfassung englisch:
We propose a symmetrized version of the defect to be used in the estimation of the local time-stepping error of symmetric one-step methods for the time propagation of linear autonomous evolution equations. Using the anti-commutator of the numerical flow and the right-hand side operator in the definition of the defect of the numerical approximation, a local error estimator is obtained which has higher accuracy asymptotically than an established version using the common defect. This theoretical result is illustrated for a splitting method applied to a linear Schrödinger equation.

Schlagworte:
numerical time integration, one-step methods, symmetric schemes, local error estimation


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.aml.2018.03.001


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.