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 ...
The Journal of Integral Equations and Applications, Vol. 26, No. 3 (FALL 2014), pp. 369-412 (44 pages) We introduce a new "convolution spline" temporal approximation of time domain boundary integral ...
Transactions of the American Mathematical Society, Vol. 266, No. 2 (Aug., 1981), pp. 603-616 (14 pages) We study questions related to asymptotic almost periodicity of solutions of the linear ...
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 ...