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 coefficient as special cases.
Robert D. Skeel
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Multiderivative variable stepsize variable formula methods [PDF]
Journal of Computational and Applied Mathematics, 1987 Linear multiderivative multistep methods with variable stepsize are given. Consistency, stability and convergence properties are studied.
Patrício, Fernanda, Oliveira, Paula
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A0-stability of variable stepsize BDF methods [PDF]
Journal of Computational and Applied Mathematics, 1993 Die rückwärtigen Differentiationsformeln (BDF-Formeln) auf variablen Gittern werden in der Praxis in verschiedener Weise realisiert: als Formeln mit variablen Koeffizienten, als Formeln mit konstantem führenden Koeffizienten und als Formeln mit Interpolation beim Schrittweitenwechsel.
Calvo, M., Montijano, J.I., Rández, L.
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A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems [PDF]
Results in Applied MathematicsThis 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 +2 more
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Subpixel Target Detection in Hyperspectral Imaging Using a Deep Neural Network With a Variable Stepsize Gradient Descent Method [PDF]
IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingThe 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
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Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator [PDF]
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). The Duffling oscillator is a type of nonlinear higher order differential equation.
Rasedee, Ahmad Fadly Nurullah +8 more
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The starting procedure in variable-stepsize variable-order PECE codes [PDF]
Journal of Computational and Applied Mathematics, 1994 A modified starting procedure is proposed which improves on the efficiency of PECE variable stepsize variable order difference formulas for the numerical integration of initial value problems for systems of ordinary differential equations. The new procedure is based on the examinations of the behavior of a bound on the error propagation.
Zhang, Wen
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Variable-Stepsize Multilayer Neural Network for Subpixel Target Detection in Hyperspectral Imaging [PDF]
IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingConventional algorithms for subpixel target detection of a rare target in hyperspectral imaging are derived from the generalized likelihood ratio test.
Edisanter Lo
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The spectrum of numerical integration methods with computed variable stepsize [PDF]
Journal of Mathematical Analysis and Applications, 1970 AbstractNumerical integration techniques which have been previously thought of as distinct are shown to be examples of a general type. The variations from the general form comprise a spectrum of methods whose extremes are the “onestep” methods and the “multistep” methods.
Papian, LaVerne E, Ball, William E
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Variable-stepsize implicit Peer triplets in ODE constrained optimal control [PDF]
Journal of Computational and Applied Mathematics38 pages, 6 ...
Jens Lang 0001, Bernhard A. Schmitt
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