If a numerical method has global truncation error of order h³ , then reducing h by half, we expect the error in our approximate solution after 1000 time steps to be O half as large a quarter as large an eighth as large ) twice as large four times as large eight times as large 1000 times as large Convergence of a numerical method means that the error in the approximate solution at a finite time approaches zero as the time step, h, approaches zero. True False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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If a numerical method has global truncation error of order h, then reducing h by
half, we expect the error in our approximate solution after 1000 time steps to be
) half as large
a quarter as large
an eighth as large
) twice as large
)four times as large
eight times as large
) 1000 times as large
Convergence of a numerical method means that the error in the approximate
solution at a finite time approaches zero as the time step, h, approaches zero.
True
False
Transcribed Image Text:If a numerical method has global truncation error of order h, then reducing h by half, we expect the error in our approximate solution after 1000 time steps to be ) half as large a quarter as large an eighth as large ) twice as large )four times as large eight times as large ) 1000 times as large Convergence of a numerical method means that the error in the approximate solution at a finite time approaches zero as the time step, h, approaches zero. True False
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