# SpecSolve: Spectral methods for spectral measures

@article{Colbrook2022SpecSolveSM, title={SpecSolve: Spectral methods for spectral measures}, author={Matthew J. Colbrook and Andrew D Horning}, journal={ArXiv}, year={2022}, volume={abs/2201.01314} }

Self-adjoint operators on infinite-dimensional spaces with continuous spectra are abundant but do not possess a basis of eigenfunctions. Rather, diagonalization is achieved through spectral measures. The SpecSolve package [SIAM Rev., 63(3) (2021), pp. 489–524] computes spectral measures of general (self-adjoint) differential and integral operators by combining state-of-the-art adaptive spectral methods with an efficient resolvent-based strategy. The algorithm achieves arbitrarily high orders of…

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