Abstract
When solving non-stationary problems of mathematical physics, a particular attention is paid to schemes with weighted factors. Assume that we solve the Cauchy problem for the first-order evolution equation \(\frac{{du}}{{dt}} + Au = f(t),0 < t < T,u(0) = {u_0}\) where f (t),u 0 are given, whilst u(t) is the unknown function with values in a finite-dimensional Hilbert space H.
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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 with Operator Factors. In: Difference Schemes with Operator Factors. Mathematics and Its Applications, vol 546. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9874-3_3
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DOI: https://doi.org/10.1007/978-94-015-9874-3_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6118-8
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