Abstract
We have implemented a numerical code (ReLPM, Real Leja Points Method) for polynomial interpolation of the matrix exponential propagators exp (ΔtA) v and ψ (ΔtA) v, ψ(z) = (exp (z) -1)/z. The ReLPM code is tested and compared with Krylov-based routines, on large scale sparse matrices arising from the spatial discretization of 2D and 3D advection-diffusion equations. © Springer-Verlag Berlin Heidelberg 2006.
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CITATION STYLE
Bergamaschi, L., Caliari, M., Martínez, A., & Vianello, M. (2006). Comparing Leja and Krylov approximations of large scale matrix exponentials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3994 LNCS-IV, pp. 685–692). Springer Verlag. https://doi.org/10.1007/11758549_93
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