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 ...
Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...
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 ...
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 ...
Description: Review of systems with one degree of freedom. Lagrange's equations of motion for multiple degree of freedom systems. Introduction to matrix methods. Transfer functions for harmonic ...
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