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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > General (G.1.0) > Stability (And Instability) (G.1.0...)
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1-10 of 12
Reviews about "Stability (And Instability) (G.1.0...)":
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The concept of stability in numerical mathematics
Hackbusch W., Springer Publishing Company, Incorporated, New York, NY, 2014. 188 pp. Type: Book (978-3-642393-85-3)
Common wisdom demands that unstable algorithms be avoided when numerically solving problems given in a mathematical formulation. But what does “(un)stable” actually mean? The usual answer to this question is that st...
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Oct 1 2015 |
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CGMN revisited: robust and efficient solution of stiff linear systems derived from elliptic partial differential equations
Gordon D., Gordon R. ACM Transactions on Mathematical Software 35(3): 1-27, 2008. Type: Article
The numerical solution of elliptic partial differential equations (PDEs) leads to the solution of systems of linear algebraic equations of the form Ax=b. The solution of such linear systems is very...
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Feb 18 2009 |
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Parametric stability of impulsive functional differential equations
Stamova I. Journal of Dynamical and Control Systems 14(2): 235-250, 2008. Type: Article
Various processes and phenomena studied in physics, chemistry, and biology involve the study of a class of differential equations with solutions that are piecewise continuous functions. These equations are known in the literature as im...
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Oct 8 2008 |
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Uniform exponential practical stability of impulsive perturbed systems
Dlala M., Hammami M. Journal of Dynamical and Control Systems 13(3): 373-386, 2007. Type: Article
The study of dynamic systems with impulsive effects has attracted the attention of many scientific investigators because of its importance in the applied sciences. It is well known that stability is fundamental in the analysis and desi...
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Mar 24 2008 |
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Empirical sensitivity analysis for computational procedures
Liebrock L. Diversity in computing (Proceedings of the 2005 Conference on Diversity in Computing, Albuquerque, New Mexico, USA, Oct 19-22, 2005) 32-35, 2005. Type: Proceedings
This paper is a low-level conference presentation tutorial on a computational approach to estimating condition numbers for, or analyzing the sensitivity of, a computational process. The basis of the approach is the standard one of reco...
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Dec 19 2005 |
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Global exponential stability of cellular neural networks with time-varying coefficients and delays
Jiang H., Teng Z. Neural Networks 17(10): 1415-1425, 2004. Type: Article
Consider cellular neural networks (CNNs) with time-varying coefficients and delays:...
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Apr 28 2005 |
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The Hadamard product of two stable multivariate polynomials is not necessarily stable
Rodríguez-Angeles E., Kharitonov V., Torres-Muñoz J. Multidimensional Systems and Signal Processing 15(1): 57-63, 2004. Type: Article
A multivariate polynomial of the form is said to be strict sense stable if it has no roots, such that each of s1, ..., sm h...
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Mar 28 2005 |
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An analysis of exponential stability of delayed neural networks with time varying delays
Arik S. Neural Networks 17(7): 1027-1031, 2004. Type: Article
Consider a neural network model defined by the following state equations: where u = [u1, u2, ... ,...
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Mar 28 2005 |
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A note on the recursive calculation of incomplete gamma functions
Gautschi W. ACM Transactions on Mathematical Software 25(1): 101-107, 1999. Type: Article
This short, well-written paper presents both an analysis and numerical examples of the use of the forward recurrence to compute the incomplete gamma function. The forward recurrence for P ( a + n , x ) with ...
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Mar 1 2000 |
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Nonlinear systems analysis (2nd ed.)
Vidyasagar M., Prentice-Hall, Inc., Upper Saddle River, NJ, 1992. Type: Book (9780136234630)
The primary aim of this revised and expanded second edition of the author’s 1978 book [1] remains the same: providing engineers with a rigorous introduction to nonlinear systems analysis. The book should also appeal to applie...
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Dec 1 1992 |
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