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 ...

Abstract: Analytic methods are presented for the systematic evaluation of convolution integrals that contain piecewise-continuous or piecewise-smooth functions. These methods involve breaking the ...

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 ...

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 ...