Numerical Stability is a property of a numerical algorithm that ensures the boundedness of its solution errors with respect to perturbations in initial data or round-off errors over successive iterations or time steps within discretized systems of differential equations.
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Introduction to Numerical Analysis.
Carl-Erik Fröberg, Josef Stoer, Roland Bulirsch · Mathematics of Computation · 1981 · 5.5K citations
Perturbation Methods in Fluid Mechanics
Nature · 1965 · 3.5K citations
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