کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
520291 | 867709 | 2014 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximated Lax pairs for the reduced order integration of nonlinear evolution equations
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
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چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 265, 15 May 2014, Pages 246–269
Journal: Journal of Computational Physics - Volume 265, 15 May 2014, Pages 246–269
نویسندگان
Jean-Frédéric Gerbeau, Damiano Lombardi,