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What controls convergence? What relates convergence and stability?

Abstract Chapter 7 discussed different numerical integration schemes (Forward, Backward, and Central Euler) applied to the nuclear decay equation. This chapter introduces the framework to analyze their performance, covers numerical stability, consistency and convergence,and considers the Lax–Richtmyer theorem.
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Convergence and stability of dynamic processes

1992
From the author's conclusions: ``Some classical convergence and stability results are extended in a general framework, which contains most discrete and continuous dynamic processes. The analysis is based on generalized Lyapunov functions, which are not assumed to be continuous, but they are assumed to be monotonic on the entire solution space.
Molnár, Sándor, Szidarovszky, Ferenc
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“Convergence” and Strategic Stability

World Economy and International Relations, 1990
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Theory of Stability and Convergence

2006
Claudio Canuto   +3 more
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