Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems

By Rafail V. Abramov, Andrew J. Majda. 2007

146 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f40be8717ec1b2723bad6a32d358647108705341

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Citations in the corpus

An update on the nonequilibrium linear response (2012, background): “A further study of such a numerical algorithm is contained in [22, 29]; in particular appendix A of [29] explains the derivation above (without the generalization to stochastic evolutions).”
A simple framework to justify linear response theory (2009, background): “Leith’s suggestion has created a lot of recent activity in generating new theoretical formulations and approximate algorithms for FDT with applications to climate response ([GD99, GBD02, GB07, GBM08, AM07 , AM08, AM09, MW09]).”
Climate Sensitivity via a Nonparametric Fluctuation–Dissipation Theorem (2011, methodology): “, Branstator and Selten 2009). This suggests that it is worth investigating the possibility of implementing the general form of the FDT expressed by Eqs. (1) and (2) without any assumption of Gaussianity. Thuburn (2005) has already suggested an approach to calculating climate response for a non-Gaus”
The physics of climate variability and climate change (2019, background): “Evaluating the contribution of the unstable directions is especially hard; hence, Abramov and Majda (2007) proposed a blended approach that also uses the FDT.”
Challenges in Climate Science and Contemporary Applied Mathematics (2012, methodology): “The explicit form of the PDF, p eq (x), allows one to calculate explicit forms of the ideal response operator to perturbations in forcing, F , or the dissipation parameter , a, as well as explicit analytic expressions for the FDT linear response operator and various approximations [102].”