NASA NTRS · 19720054584
On the stability of numerical integration routines.
Abstract
Numerical integration methods for the solution of initial value problems for ordinary vector differential equations may be modelled as discrete time feedback systems. The stability criteria discovered in modern control theory are applied to these systems and criteria involving the routine, the step size and the differential equation are derived. Linear multistep, Runge-Kutta, and predictor-corrector methods are all investigated.
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Glover, K., Willems, J. C.. 1972-01-01. On the stability of numerical integration routines.. https://ntrs.nasa.gov/citations/19720054584
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