Rothe approach to the existence of solution of an ablation-transpiration cooling control system.
Zhu, Guo Bao (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Convergence of batch split-complex backpropagation algorithm for complex-valued neural networks.”
Rothe approach to the existence of solution of an ablation-transpiration cooling control system.
The UD RLS algorithm for training feedforward neural networks
Jarosław Bilski (2005)
International Journal of Applied Mathematics and Computer Science
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A new algorithm for training feedforward multilayer neural networks is proposed. It is based on recursive least squares procedures and U-D factorization, which is a well-known technique in filter theory. It will be shown that due to the U-D factorization method, our algorithm requires fewer computations than the classical RLS applied to feedforward multilayer neural network training.
Some remarks on numerical solution of initial problems for systems of differential equations
Tadeusz Jankowski (1979)
Aplikace matematiky
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This paper presents a class of numerical methods for approximate solution of systems of ordinary differential equations. It is shown that under certain general conditions these methods are convergent for sufficiently small step size. We give estimations of errors which are better than the known ones.
Convergence of an online split-complex gradient algorithm for complex-valued neural networks.
Zhang, Huisheng, Xu, Dongpo, Wang, Zhiping (2010)
Discrete Dynamics in Nature and Society
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On the concentration of solutions of singularly perturbed Hamiltonian systems in .
Ramos, Miguel, Soares, Sérgio H.M. (2006)
Portugaliae Mathematica. Nova Série
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Global attractor of coupled difference equations and applications to Lotka-Volterra systems.
Pao, C.V. (2005)
Advances in Difference Equations [electronic only]
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Numerical simulation of a point-source initiated flame ball with heat losses
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
A multiplicity results for a quasilinear gradient elliptic system.
Ahammou, Abdelaziz (2001)
Journal of Applied Mathematics
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