Abstract
The stability analysis of the preceeding sections is based on the transformation of the Jacobian J ≈ ∂f / ∂y to diagonal form (see Formulas (2.5), (2.6) of Sect. IV.2). Especially for large-dimensional problems, however, the matrix which performs this transformation may be badly conditioned and destroy all the nice estimations which have been obtained.
He who loves practice without theory is like the sailor who boards ship without a rudder and compass and never knows where he may be cast.
(Leonardo da Vinci 1452–1519, cited from M. Kline, Mathematical Thought ... 1972, p. 224)
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© 1996 Springer-Verlag Berlin Heidelberg
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Hairer, E., Wanner, G. (1996). Contractivity for Linear Problems. In: Solving Ordinary Differential Equations II. Springer Series in Computational Mathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05221-7_11
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DOI: https://doi.org/10.1007/978-3-642-05221-7_11
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