A Low Dispersion Precise Integration Time Domain Method Based on Wavelet Galerkin Scheme

To decrease the dispersion error of the precise integration time domain (PITD) method, a new algorithm named the wavelet Galerkin scheme-based PITD (WG-PITD) method is proposed in this letter. The novel method is based on both the wavelet Galerkin scheme and the precise integration technique. The dispersion relation of the WG-PITD method is derived analytically. It is found that the dispersion error of the WG-PITD method is smaller than that of the PITD method, and can be made nearly independent of the time step size. The numerical results confirm the advantages of the WG-PITD method over the PITD method with respect to the memory requirements and the execution time.