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We study the application of the generalized convolution quadrature (gCQ) based on Runge--Kutta methods to approximate the solution of an important class of sectorial problems. The gCQ generalizes ...

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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 ...

A moving-average filter can address white noise in the time domain but performs poorly in the frequency domain. In part 1 of this series, we defined convolution, denoted by the * symbol, and looked at ...

Convolution is used in a variety of signal-processing applications, including time-domain-waveform filtering. In a recent series on the inverse fast Fourier transform (FFT), we concluded with a ...

The Nature Index 2026 Research Leaders reveal the leading institutions and countries/territories in the natural sciences, health sciences, applied sciences and social sciences, according to their ...

Boundary integral equation methods recast partial differential equations into integral equations over domain boundaries, reducing dimensionality and focusing computational effort on interfaces. These ...

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