منابع مشابه
Angular truncation errors in integrating nephelometry
Ideal integrating nephelometers integrate light scattered by particles over all directions. However, real nephelometers truncate light scattered in near-forward and near-backward directions below a certain truncation angle ~typically 7°!. This results in truncation errors, with the forward truncation error becoming important for large particles. Truncation errors are commonly calculated using M...
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We describe the parallelization of an efficient algorithm for balanced truncation that allows to reduce models with state-space dimension up to O(10). The major computational task in this approach is the solution of two large-scale sparse Lyapunov equations, performed via a coupled LR-ADI iteration with (super-)linear convergence. Experimental results on a cluster of Intel Xeon processors illus...
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However, in attempting to find a suitable polynomial approximation to a general function fix), the integral occurring in equation (1.3) cannot be evaluated explicitly, and recourse has to be made to approximate methods for evaluating a„ . The most widely used method is the "curve-fitting" method described by Lanczos [1], and, in greater detail, by Clenshaw and Curtis [2]. There are two variatio...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2019
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.07.049