A Novel Integration Scheme for Partial Differential Equations: an Application to the Complex Ginzburg-Landau Equation
Abstract
A new integration scheme, combining the stability and the precision of usual pseudo-spectral codes with the locality of finite differences methods, is introduced. It turns out to be particularly suitable for the study of front and disturbance propagation in extended systems. An application to the complex Ginzburg-Landau equation shows the higher precision of this method with respect to spectral ones.
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