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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive