Reduced-order modelling of parameter-dependent, linear and nonlinear dynamic partial differential equation models
نویسندگان
چکیده
منابع مشابه
Reduced-order modelling of parameter-dependent, linear and nonlinear dynamic partial differential equation models
In this paper, we develop reduced-order models for dynamic, parameter-dependent, linear and nonlinear partial differential equations using proper orthogonal decomposition (POD). The main challenges are to accurately and efficiently approximate the POD bases for new parameter values and, in the case of nonlinear problems, to efficiently handle the nonlinear terms. We use a Bayesian nonlinear reg...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2017
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2016.0809