A typical convolution integral relating the input time history *x*(τ) 0 ≤ τ≤ *t* to the output *y*(*t*) at time *t* is written as

**Equation C-1. **

where *h*(*t*) is the unit-impulse response function. In a flexibility or Green’s function formulation (Duhamel’s integral), the *x*(τ) corresponds to the force and *y*(*t*) to the displacement. In a stiffness formulation involving a convolution of the velocity, the *x*(τ) is this velocity and *y*(*t*) represents (the regular part of) the interaction force.

The evaluation of the convolution integral, which has to be performed for each time station, from its definition ...

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