Abstract
Two- and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non-stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of stability of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side.
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© 2002 Springer Science+Business Media Dordrecht
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Samarskii, A.A., Matus, P.P., Vabishchevich, P.N. (2002). Introduction. In: Difference Schemes with Operator Factors. Mathematics and Its Applications, vol 546. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9874-3_1
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DOI: https://doi.org/10.1007/978-94-015-9874-3_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6118-8
Online ISBN: 978-94-015-9874-3
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