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 ...

Let μn be a sequence of discrete measures on the unit circle T = ℝ/ℤ with μn (0) = 0, and μn ((-δ,δ)) → 1, as n → ∞. We prove that the sequence of convolution operators (f ⁕ μn)(x) is strong sweeping ...

In the following animation, we see this four-step process to aid us in interpreting the resonance response of a single-DOF oscillator to harmonic excitation. From this, we see that the response ...

An Apple patent (number 7895252) for single-channel convolution in a vector processing computer system has appeared at the US Patent & Trademark Office. The invention relates generally to signal ...