Initial-Value Problems for Ordinary Differential Equations

Part of the Texts in Applied Mathematics book series (TAM, volume 45)


As a preparation for our study of initial-value problems for parabolic and hyperbolic differential equations we shall review in this chapter some facts about linear systems of ordinary differential equations and their numerical solution. We start with the continuous problem in Sect. 7.1 and continue in Sect. 7.2 with the numerical solution of such problems by time stepping.


Lipschitz Condition Euler Method Solution Curve Stable Case Order Scalar 
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© Springer-Verlag Berlin Heidelberg 2009

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