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Effective Backpropagation Training with Variable Stepsize [PDF]
The issue of variable stepsize in the backpropagation training algorithm has been widely investigated and several techniques employing heuristic factors have been suggested to improve training time and reduce convergence to local minima. In this contribution, backpropagation training is based on a modified steepest descent method which allows variable ...
George D. Magoulas +2 more
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Variable stepsize multivalue collocation methods [PDF]
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A. Moradi, R. D'Ambrosio, B. Paternoster
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A Variable Stepsize, Variable Order Family of Low Complexity
SIAM Journal of Scientific Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
VÍCTOR Decaria +2 more
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On the Stability of Variable-Stepsize Nordsieck BDF Methods
SIAM Journal on Numerical Analysis, 1987Die Verf. studieren die asymptotische Stabilität der rückwärts genommenen Differentiationsformeln in Nordsieck-Form auf nichtäquidistanten Gittern. Bei einem Wechsel der Schrittweite wird die Nordsiecksche Interpolationstechnik verwandt. Damit sind bei der Stabilitätsanalyse die Normen der Produkte der sich mit dem Schrittweitenwechsel ebenfalls ...
J I Montijano
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On the Stability of Interpolatory Variable-Stepsize Adams Methods in Nordsieck Form
SIAM Journal on Numerical Analysis, 1989In the existing ODE codes stepsize controls are incorporated. In order to ensure the stability of the integration process restrictions on the stepsize variation must be imposed. The authors consider various strategies for the stepsize selection and corresponding conditions for the allowable ratio \(h_{j+1}/h_ j\) of consecutive stepsize for the Adams ...
Calvo, M., Lisbona, F., Montijano, J.
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On the zero-stability of variable stepsize multistep methods: the spectral radius approach [PDF]
The present paper deals with the asymptotic behaviour of the solution of linear difference equations with variable coefficients. A new approach is presented based on the theory of the spectral radius of a family of matrices and the use of an appropriate so-called extremal norm.
GUGLIELMI, NICOLA, ZENNARO M.
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On the stability of variable stepsize rational approximations of holomorphic semigroups [PDF]
We consider variable stepsize time approximations of holomorphic semigroups on general Banach spaces. For strongly A (
C. Palencia
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Variable stepsize implicit-explicit general linear methods [PDF]
Many practical problems in science and engineering are modeled by large systems of ordinary differential equations (ODEs) with additive vector field, whose terms have different stiffness properties. Such a systems can often be written in the form y'(t) = f(y(t))+ g(y(t)), t in [t0, T], y(t0) = y0; y0 in Rm, f: Rm in Rm, g: Rm in Rm, where f(y ...
Angelamaria Cardone +2 more
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The Stability of Variable-Stepsize Nordsieck Methods
SIAM Journal on Numerical Analysis, 1983Conditions are given for the stability of multistep methods that vary the stepsize using the interpolation technique of Nordsieck. If the stepsize selection function is variation-bounded, then these methods are stable. Alternatively there exist constants a, b, c depending on the method and satisfying $a \leqq b < 1 < c$ such that if the stepsize ratio $
Skeel, R. D., Jackson, L. W.
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