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An algorithm for the accurate simulation of neutron scattering from magnetic excitations has been developed and implemented as new component for the neutron ray-tracing software McStas. The component SpinWave_BCO simulates inelastic neutron scattering from ferro-, antiferro- and altermagnetic excitations in a body-centred orthorhombic crystal structure, where the dispersion relation and scattered neutron intensities are derived using linear spin wave theory. Data from a simulated triple-axis spectrometer with an extremely high resolution have been verified by direct comparison with theory and by comparison with data simulated using the package SpinW. The component serves as a proof of concept for the implementation of a more general linear spin wave component in McStas.