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• W3032813787 abstract "We consider a class of relaxation problems mixing slow and fast variations which can describe population dynamics models or hyperbolic systems, with varying stiffness (from non-stiff to strongly dissipative), and develop a multi-scale method by decomposing this problem into a micro-macro system where the original stiffness is broken. We show that this new problem can therefore be simulated with a uniform order of accuracy using standard explicit numerical schemes. In other words, it is possible to solve the micro-macro problem with a cost independent of the stiffness (a.k.a. uniform cost), such that the error is also uniform. This method is successfully applied to two hyperbolic systems with and without non-linearities, and is shown to circumvent the phenomenon of order reduction." @default.
• W3032813787 created "2020-06-05" @default.
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• W3032813787 date "2020-05-26" @default.
• W3032813787 modified "2023-10-03" @default.
• W3032813787 title "Uniformly accurate numerical schemes for a class of dissipative systems" @default.
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• W3032813787 hasPublicationYear "2020" @default.
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