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Crashworthiness of a Modular Assembled Multi-Cell CFRP Structure: Experimental and Numerical Investigation. [PDF]
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A Stability Criterion for Numerical Integration
Journal of the ACM, 1959A necessary and sufficient condition is given for the absolute stability of multipoint numerical integration formulas for differential equations. The condition is that a certain matrix of low order, whose elements are computable from the coefficients of the integration formula, be positive definite. Two simple examples are given.
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Computational Complexity and Numerical Stability
SIAM Journal on Computing, 1974Limiting consideration to algorithms satisfying various numerical stability requirements may change lower bounds for computational complexity and/or make lower bounds easier to prove. We will show that under a sufficiently strong restriction upon numerical stability, any algorithm for multiplying two $n \times n$ matrices using only $+,\, - $ and ...
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Numerical stability and stabilization of Groebner basis computation
Proceedings of the 2002 international symposium on Symbolic and algebraic computation, 2002In this paper we consider the problem of the use of approximate arithmetics in Grobner basis computation. This is useful to reduce the cost of integer arithmetic, but is especially necessary for overdetermined systems whose coefficients are only approximately known.We report on some numerical experiments, that show that the intrinsic instability of the
TRAVERSO, CARLO, ZANONI ALBERTO
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Analysis of the numerical stability of algorithms
ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005The aim of this paper is to show the importance of the numerical behavior of formulations in the field of the concrete complexity of algorithms. Up to now many studies have been published to propose an implementation of a given algorithm requiring the least number of computations. This code sometimes provides results which are less accurate than a code
J. Vignes, P. Bois
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Superoscillations with Optimal Numerical Stability
IEEE Signal Processing Letters, 2014A bandlimited signal can oscillate at a rate faster than its bandlimit. This phenomenon, called "superoscillation", has ap- plications e.g. in superresolution and superdirectivity. The syn- thesis of superoscillations is a numerically difficult problem.
Lee, Dae Gwan +1 more
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Numerical Stability Analysis of FDLBM
Journal of Statistical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seta, Takeshi, Takahashi, Ryoichi
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