Initial-Value Problems for Ordinary Differential Equations
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.
KeywordsLipschitz Condition Euler Method Solution Curve Stable Case Order Scalar
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