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Krylov Subspace Spectral Methods with Coarse-Grid Residual Correction for Solving Time-Dependent, Variable-Coefficient PDEs

  • Haley DozierEmail author
  • James V. Lambers
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 119)

Abstract

Krylov Supspace Spectral (KSS) methods provide an efficient approach to the solution of time-dependent, variable-coefficient partial differential equations by using an interpolating polynomial with frequency-dependent interpolation points to approximate a solution operator for each Fourier coefficient. KSS methods are high-order accurate time-stepping methods that also scale effectively to higher spatial resolution. In this paper, we will demonstrate the effectiveness of using coarse-grid residual correction, generalized to the time-dependent case, to improve the accuracy and efficiency of KSS methods. Numerical experiments demonstrate the effectiveness of this correction.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsThe University of Southern MississippiHattiesburgUSA

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