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This Demonstration shows how you can numerically compute the inverse of the Laplace transform ... of a simple function ... : ... and ... . The selected method is the Fourier series approximation. This method uses the following formula in order to perform the inversion of ... : ... . You can select the appropriate values of ... and ... that give the correct inverse. This choice must be such that ... and ... , where ... is a measure of the maximum relative error and ... is the exponential order of ... . The red curve is the sine function and the blue dots are the selected numerical values of the inverse of ... . You can clearly see how this method may fail to give an accurate inverse if the values of ... and ... are not correctly selected. The first snapshot presents a correct inversion result. The next two snapshots show situations where the method gives erroneous data.
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