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• W2024585678 abstract "A reduced-order model algorithm, called ALP, is proposed to solve nonlinear evolution partial differential equations. It is based on approximations of generalized Lax pairs. Contrary to other reduced-order methods, like Proper Orthogonal Decomposition, the basis on which the solution is searched for evolves in time according to a dynamics specific to the problem. It is therefore well-suited to solving problems with progressive front or wave propagation. Another difference with other reduced-order methods is that it is not based on an off-line/on-line strategy. Numerical examples are shown for the linear advection, KdV and FKPP equations, in one and two dimensions." @default.
• W2024585678 created "2016-06-24" @default.
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• W2024585678 date "2014-05-01" @default.
• W2024585678 modified "2023-09-25" @default.
• W2024585678 title "Approximated Lax pairs for the reduced order integration of nonlinear evolution equations" @default.
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• W2024585678 doi "https://doi.org/10.1016/j.jcp.2014.01.047" @default.
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