Abstract: Convolution quadtrature (CQ) is a method for discretizing continuous convolution integrals by substituting a discrete Ƶ domain approximation for the Laplace domain frequency parameters. The ...

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 ...

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 ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...