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The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=10-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 103 then your answer should be -3. Give your answer to the nearest integer.

The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=10-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 103 then your answer should be -3. Give your answer to the nearest integer.

Advanced Engineering Mathematics
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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The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=1o-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 10-3 then your answer should be -3. Give your answer to the nearest integer.
Transcribed Image Text:The limit of accuracy on computers is limited by the computer round-off error. If we assume our approximation to first order derivatives is first order accurate, and the computer round off error is ɛ=1o-16, estimate what the error of a discrete derivative approximation df/dx is when Ax = 10-5. Give your answer as the power of 10; for example if the result is 102 your answer should be 2, if the result is 10-3 then your answer should be -3. Give your answer to the nearest integer.
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