Abstract
The general stability theory for operator-difference schemes serves as a theoretical foundation for solving the principal problems which arise in the analysis of numerical methods. The stability of difference schemes for linear problems with respect to the initial data and the right hand side, and also coefficient (strong) stability ensure the well posedness of a discrete problem, in other words, its right to exist.
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© 2002 Springer Science+Business Media Dordrecht
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Samarskii, A.A., Matus, P.P., Vabishchevich, P.N. (2002). Difference Schemes for Non-Stationary Equations. In: Difference Schemes with Operator Factors. Mathematics and Its Applications, vol 546. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9874-3_6
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DOI: https://doi.org/10.1007/978-94-015-9874-3_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6118-8
Online ISBN: 978-94-015-9874-3
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