In a lecture example, we used the convolution integral approach to study the response of an undamped oscillator excited by the rectangular pulse shown below. Here we will apply the graphical ...

Additionally, an example is included that provides students with insight into the construction and the behavior of the impulse function. These methods have been successfully taught to undergraduate ...

SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 941-955 (15 pages) Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes ...

Abstract In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with ...

Convolution Quadrature: A numerical technique that discretises convolution integrals by utilising the Laplace transform, thus permitting stable and accurate time-stepping in wave propagation problems.