Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
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ExampleAmplification factorTo determine the amplification factor, we apply the numericalmethod to the test equation,This givesy ′ = λy, y(0) = y 0 , λ < 0.u ⋆ = u n + βhλu nu n+1 = u ⋆ + (1 − β)hλu ⋆() Truncation <strong>Error</strong>, <strong>Consistency</strong>, <strong>and</strong> <strong>Convergence</strong> 8 October 2012 46 / 54