Environmental Engineering Reference
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where (
M + N
), match the corresponding coefficients of
the Taylor series expansion of
The remaining terms differ. The
low-order Pad
é
polynomials of
are tabulated in Table 4.1.
3.2 Numerical Laplace Inversion
Laplace inversion derives the time domain response of a circuit
from its
counterpart
where
and are Laplace transform and inverse Laplace transform
operators, respectively. The analytical solution of Laplace inverse trans-
form is available for a set of known functions only. For arbitrary func-
tions, numerical approximation is needed. Since
varies from cir-
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