Abstract
The purpose of this chapter is to analyze the approximation, using spectral methods, of differential problems where the solution is time-dependent. We consider parabolic and hyperbolic partial differential equations in one space variable. Finite-differences are usually employed for the treatment of the time variable, hence part of the analysis will be devoted to this topic.
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© 1992 Springer-Verlag Berlin Heidelberg
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(1992). Time-Dependent Problems. In: Polynomial Approximation of Differential Equations. Lecture Notes in Physics Monographs, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46783-0_10
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DOI: https://doi.org/10.1007/978-3-540-46783-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55230-7
Online ISBN: 978-3-540-46783-0
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