Efficient Simulation of Large-scale Dynamical Systems Using Tensor Decompositions

被引：1
|
作者：
van Belzen, F. [1 ]
Weiland, S. [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
来源：
SCIENTIFIC COMPUTING IN ELECTRICAL ENGINEERING SCEE 2008 | 2010年 / 14卷
关键词：
D O I：
10.1007/978-3-642-12294-1_51
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Tensors are the natural mathematical objects to describe physical quantities that evolve over multiple independent variables. This paper considers the computation of empirical projection spaces by decomposing a tensor that can be associated with measured data. We show how these projection spaces can be used to derive reduced order models. The procedure is applied to a two-dimensional heat diffusion problem and a problem in fluid flow dynamics.
引用
收藏
页码：413 / 420
页数：8
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