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

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

Name: If a numerical method has global truncation error of order h, then re
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Description: If a numerical method has global truncation error of order h, then reducing h byhalf, we expect the error in our approximate solution after 1000 time steps to be) half as largea quarter as largean eighth as large) twice as large)four times as largee

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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