Abstract
In this introductory chapter we will explain what is meant by the concept of properly posed initial value problems. We start with the well-known situation for ordinary differential equations, and develop the definition with the help of explanatory examples. This concept is an important one, for problems which are not properly posed cannot, in general, be attacked reasonably with numerical methods.
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© 1981 Springer-Verlag New York Inc.
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Meis, T., Marcowitz, U. (1981). Initial Value Problems for Hyperbolic and Parabolic Differential Equations. In: Numerical Solution of Partial Differential Equations. Applied Mathematical Sciences, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5885-8_1
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DOI: https://doi.org/10.1007/978-1-4612-5885-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90550-1
Online ISBN: 978-1-4612-5885-8
eBook Packages: Springer Book Archive