Results 11 to 20 of about 2,092,411 (198)

Construction of variable-stepsize multistep formulas [PDF]

Mathematics of Computation, 1986
A systematic way of extending a general fixed-stepsize multistep formula to a minimum storage variable-stepsize formula has been discovered that encompasses fixed-coefficient (interpolatory), variable-coefficient (variable step), and fixed leading ...
Robert D. Skeel
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Multiderivative variable stepsize variable formula methods [PDF]

Journal of Computational and Applied Mathematics, 1987
In this paper we present a study of consistency, stability and convergence properties of linear multiderivative multistep variable stepsize variable formula ...
Patrício, Fernanda, Oliveira, Paula
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Effective Backpropagation Training with Variable Stepsize

Neural Networks, 1997
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.
Androulakis, G., George D. Magoulas, Michael N. Vrahatis, George S. Androulakis, Vrahatis, M.N., Magoulas, George   +5 more
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Variable stepsize multivalue collocation methods

Applied Numerical Mathematics, 2023
When faced with the task of solving stiff problems, highly stable numerical methods are often needed to avoid the phenomenon of order reduction. The purpose of this paper is to construct a family of high order multivalue collocation methods for the ...
Moradi A., Paternoster B., D'Ambrosio R.
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The starting procedure in variable-stepsize variable-order PECE codes [PDF]

Journal of Computational and Applied Mathematics, 1994
An existing starting procedure used in codes for solving ordinary differential equation initial-value problems by variable-stepsize variable-order PECE formulas is studied. The actual error propagation and the estimate formed in the code are analyzed and
Zhang, Wen
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Performance evaluation of a new type of commercial silicon detectors for photon beam dosimetry [PDF]

Journal of Applied Clinical Medical Physics, Volume 27, Issue 8, August 2026.
Abstract Background Modern radiotherapy relies on advanced treatment techniques that utilize a large number of small fields, for which maintaining dosimetric accuracy is often challenging. Most vendors have introduced microdetectors suitable for small field dosimetry. Sun Nuclear has developed two silicon diodes with a sensitive volume of 0.35 mm3 that
Indra J. Das, Meisong Ding, George X. Ding   +2 more
wiley   +2 more sources

A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems

Results in Applied Mathematics
This paper presents and successfully applies an optimized hybrid block technique using a variable stepsize implementation to integrate a type of singularly perturbed parabolic convection–diffusion problems.
Mufutau Ajani Rufai, Higinio Ramos, Bruno Carpentieri   +2 more
doaj   +3 more sources

Subpixel Target Detection in Hyperspectral Imaging Using a Deep Neural Network With a Variable Stepsize Gradient Descent Method

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
The main difficulty in using artificial neural networks, which are designed for classification, to detect a rare subpixel target in hyperspectral imaging is that there is typically only one actual target pixel available for training the neural networks ...
Edisanter Lo, Damien B. Josset
doaj   +2 more sources

Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator

Journal of Physics: Conference Series, 2017
Nonlinear phenomena in science and engineering such as a periodically forced oscillator with nonlinear elasticity are often modeled by the Duffing oscillator (Duffing equation).
Ramli, Nur Ainna, Siti Raihana Hamzah, Nur Shuhada Kamaruddin, Ahmad Fadly Nurullah Rasedee, Ishak, Norizarina, Ibrahim, Zarina Bibi, Sathar, Mohammad Hasan Abdul, Suleiman, Mohamed, Norizarina Ishak, Kamaruddin, Nur Shuhada, Rasedee, Ahmad Fadly Nurullah, Nur Ainna Ramli, Ijam, Hazizah Mohd, Hazizah Mohd Ijam, Zarina Bibi Ibrahim, Hamzah, Siti Raihana, Mohamed Suleiman, Mohammad Hasan Abdul Sathar   +17 more
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Variable-Stepsize Implicit Peer Triplets in ODE Constrained Optimal Control [PDF]

Journal of Computational and Applied Mathematics
This paper is concerned with the theory, construction and application of implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., preserve their classical order achieved for uniform stepsizes when applied to ODE constrained ...
Schmitt, Bernhard A., Lang, Jens
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