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We have implemented a numerical code (ReLPM, Real Leja Points Method) for polynomial interpolation of the matrix exponential propagators exp (${\it \Delta}$tA) v and ϕ(${\it \Delta}$tA) v, ϕ(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.

Comparing Leja and Krylov Approximations of Large Scale Matrix Exponentials