Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward ...

Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

This chapter defines a unique function, called the impulse response, which represents linear time‐invariant (LTI) systems. Impulse response is defined as the output of an LTI system, when the input is ...

Abstract: We present a procedure for computing the convolution of (analog-time) exponential signals without the need of solving integrals. The procedure is algebraic and requires the resolution of a ...