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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Single Step Fully Discrete Schemes for the Inhomogeneous Equation
verfasst von : Vidar Thomée
Erschienen in: Galerkin Finite Element Methods for Parabolic Problems
Verlag: Springer Berlin Heidelberg
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In this chapter we shall continue our study of single step fully discrete methods and turn now to the approximation of the inhomogeneous heat equation. Following the approach of Chapter 7 we shall first consider discretization in time of an ordinary differential equation in a Hilbert space setting, and then apply our results to the spatially discrete equation. In view of the work in Chapter 7 for the homogeneous equation with given initial data, we now restrict ourselves to the case that the initial data vanish.