numeric integration, error component of trapezoid rule
Given a list of x values and a list of f(x) values, I understand how to calculate the integral of the lists via the trapezoid rule -> summation of (b-a)*(f(a)+f(b))/2. However I am not sure how to classify the error introduced by my numeric integration as the lists are the result of an experiment and I lack access to the true function which is preventing me from using the error bounds of the trapezoid rule?
integration numerical-methods error-propagation
asked Nov 29 '18 at 2:33
bbbeenn32
11
add a comment |
Given a list of x values and a list of f(x) values, I understand how to calculate the integral of the lists via the trapezoid rule -> summation of (b-a)*(f(a)+f(b))/2. However I am not sure how to classify the error introduced by my numeric integration as the lists are the result of an experiment and I lack access to the true function which is preventing me from using the error bounds of the trapezoid rule?
integration numerical-methods error-propagation
asked Nov 29 '18 at 2:33
bbbeenn32
11
Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36
add a comment |
Given a list of x values and a list of f(x) values, I understand how to calculate the integral of the lists via the trapezoid rule -> summation of (b-a)*(f(a)+f(b))/2. However I am not sure how to classify the error introduced by my numeric integration as the lists are the result of an experiment and I lack access to the true function which is preventing me from using the error bounds of the trapezoid rule?
integration numerical-methods error-propagation
asked Nov 29 '18 at 2:33
bbbeenn32
11
Given a list of x values and a list of f(x) values, I understand how to calculate the integral of the lists via the trapezoid rule -> summation of (b-a)*(f(a)+f(b))/2. However I am not sure how to classify the error introduced by my numeric integration as the lists are the result of an experiment and I lack access to the true function which is preventing me from using the error bounds of the trapezoid rule?
integration numerical-methods error-propagation
integration numerical-methods error-propagation
asked Nov 29 '18 at 2:33
bbbeenn32
11
asked Nov 29 '18 at 2:33
bbbeenn32
11
asked Nov 29 '18 at 2:33
bbbeenn32
11
asked Nov 29 '18 at 2:33
bbbeenn32
11
asked Nov 29 '18 at 2:33
bbbeenn32
11
11
Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36
add a comment |
Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36
Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36
Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36
add a comment |
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Unless you can fit some sort of curve to the points, the error bounds from trapezoidal fit can't be used.
– herb steinberg
Nov 29 '18 at 2:36