Article citationsMore>>

Botchev, M.A. (2016) Krylov Subspace Exponential Time Domain Solution of Maxwell’s Equations in Photonic Crystal Modeling. Journal of Computational and Applied Mathematics, 293, 20-34.
https://doi.org/10.1016/j.cam.2015.04.022

has been cited by the following article:

• TITLE: A Krylov Space-Based Finite Element Time Domain Method for Broadband Frequency Domain Solutions

  AUTHORS: Weiyang Lin

  KEYWORDS: Time Domain Method, Krylov Space, Frequency Domain, Petrov Galerkin

  JOURNAL NAME: Open Journal of Acoustics, Vol.7 No.4, December 28, 2017

  ABSTRACT: A Krylov space based time domain method for wave propagation problems is introduced. The proposed method uses the Arnoldi algorithm to obtain broad-band frequency domain solutions. This method is especially advantageous in cases where slow convergence is observed when using traditional time domain methods. The efficiency of the method is examined in several test cases to show its fast convergence in such problems.