Error Estimation for Reduced‐Order Models of Dynamical Systems
نویسندگان
چکیده
منابع مشابه
Error Estimation for Reduced-Order Models of Dynamical Systems
The use of reduced order models to describe a dynamical system is pervasive in science and engineering. Often these models are used without an estimate of their error or range of validity. In this paper we consider dynamical systems and reduced models built using proper orthogonal decomposition. We show how to compute estimates and bounds for these errors, by a combination of small sample stati...
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Error Estimation for Reduced - Order Models of Dynamical Systems ∗ Chris
The use of reduced-order models to describe a dynamical system is pervasive in science and engineering. Often these models are used without an estimate of their error or range of validity. In this paper we consider dynamical systems and reduced models built using proper orthogonal decomposition. We show how to compute estimates and bounds for these errors by a combination of small sample statis...
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In this work an efficient approach for a-posteriori error estimation for POD-DEIM reduced nonlinear dynamical systems is introduced. The considered nonlinear systems may also include time and parameter-affine linear terms as well as parametrically dependent inputs and outputs. The reduction process involves a Galerkin projection of the full system and approximation of the system’s nonlinearity ...
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ژورنال
عنوان ژورنال: SIAM Review
سال: 2007
ISSN: 0036-1445,1095-7200
DOI: 10.1137/070684392