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In this technical note, we explain how to construct Gaussian quadrature rulesfor efficiently and accurately computing integrals of S(x)f(x) where S(x) isthe solar irradiance function tabulated in the ASTM standard and f(x) is anarbitary application-specific smooth function. This allows the integral to becomputed accurately with a relatively small number of f(x) evaluations despitethe fact that S(x) is non-smooth and wildly oscillatory. Julia software isprovided to compute solar-weighted quadrature rules for an arbitrary bandwidthor number of points. We expect that this technique will be useful insolar-energy calculations, where f(x) is often a computationally expensivefunction such as an absorbance calculated by solving Maxwell's equations.

Accurate solar-power integration: Solar-weighted Gaussian quadrature