Exponential Integrators for Weather and Climate Simulations using Global Spectral Methods

Martin Schreiber
This work studies exponential integrator (EI) methods in the context of climate and weather simulations. We put our focus on a rational approximation of exponential integrators (REXI) which can be expressed via U (∆t) ≈ n β n (∆tL + α n ) −1 U (0) where α, β ∈ C, L a linear operator (with oscillatory or diffusive stiffness) and the initial conditions, U (0) (see e.g. [Clancy and Lynch, 2011; Haut et al.,...
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