In engineering applications such as microwave device design, antenna optimization analysis, and target feature recognition, finite element methods and integral equation methods have been widely used and can provide accurate and reliable analysis results. These methods are mainly divided into two categories, time-domain methods and frequency-domain methods. Due to the existence of numerical dispersion error, the precision of time-domain methods is slightly lower than that of frequency-domain methods. When calculating broadband electromagnetic problems in the frequency domain, it is often necessary to repeat hundreds of calculations, in which the mesh, material and boundary conditions of each calculation remain unchanged, and only the working frequency changes. Over the past decades, various methods have been proposed to speed up the analysis of the frequency sweep problem. This paper proposes and studies a fast calculation method based on the singular value decomposition method, which is stable, reliable, error controllable, and does not require any prior knowledge. It only needs to calculate several sampling points to restore the electromagnetic field results of any frequency within the specified working frequency band, the number of samples depends on the smallest eigenvalue of the matrix of solution vectors. This method has a wide application space in the field of engineering electromagnetic simulation.