Results 11 to 20 of about 578,187 (296)
Existence and uniqueness of the p-generalized modified error function [PDF]
Electronic Journal of Differential Equations, 2020 In this article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x=0.
Julieta Bollati +3 more
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Computation of the Complex Error Function Using Modified Trapezoidal Rules [PDF]
SIAM Journal on Numerical Analysis, 2021 In this paper we propose a method for computing the Faddeeva function $w(z) := e^{-z^2}\mathrm{erfc}(-i z)$ via truncated modified trapezoidal rule approximations to integrals on the real line. Our starting point is the method due to Matta and Reichel (Math. Comp. 25 (1971), pp. 339-344) and Hunter and Regan (Math. Comp. 26 (1972), pp.
Simon Chandler-Wilde
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Existence and uniqueness of the modified error function [PDF]
Applied Mathematics Letters, 2017 This article is devoted to prove the existence and uniqueness of solution to the non-linear second order differential problem through which is defined the modified error function introduced in Cho-Sunderland, J. Heat Transfer, 96-2:214-217, 1974. We prove here that there exists a unique non-negative analytic solution for small positive values of the ...
Domingo A Tarzia +2 more
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Approximation of the modified error function [PDF]
Applied Mathematics and Computation, 2018 In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity. This function depends on a parameter $δ$, which is related to the thermal conductivity in the original phase-change
Domingo A Tarzia +2 more
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Improving the error backpropagation algorithm with a modified error function [PDF]
IEEE Transactions on Neural Networks, 1997 This letter proposes a modified error function to improve the error backpropagation (EBP) algorithm of multilayer perceptrons (MLPs) which suffers from slow learning speed. To accelerate the learning speed of the EBP algorithm, the proposed method reduces the probability that output nodes are near the wrong extreme value of sigmoid activation function.
Sang-Hoon Oh
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Modify Training Directions in Function Space to Reduce Generalization Error [PDF]
CoRR, 2023 We propose theoretical analyses of a modified natural gradient descent method in the neural network function space based on the eigendecompositions of neural tangent kernel and Fisher information matrix. We firstly present analytical expression for the function learned by this modified natural gradient under the assumptions of Gaussian distribution and
Yi Yu, Wenlian Lu, Boyu Chen
openaire +3 more sources
Simple neuro-controller with a modified error function for a synchronous generator
International Journal of Electrical Power and Energy Systems, 2003 A simple neuro-controller for a synchronous generator is presented in this paper. The controller consists of a single neuron trained on-line using the back propagation algorithm based on a modified error function. The modified error function uses the controlled variable and its derivatives.
A M Zaki, O A Mahgoub, M M Salem
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Axioms, 2023 The analytic solution for a general form of the Stefan problem with nonlinear temperature-dependent thermal parameters and a heat source the term is obtained.
Ammar Khanfer +2 more
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A Modified RBF Collocation Method for Solving the Convection-Diffusion Problems
Abstract and Applied Analysis, 2023 The main purposes of this study are to propose the modified radial basis function (RBF) collocation method using a hybrid radial basis function to solve the convection-diffusion problems numerically and to choose the optimal shape parameter of radial ...
Nissaya Chuathong
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 In this paper, Bayesian estimator for the parameter and reliability function of inverse Rayleigh distribution (IRD) were obtained Under three types of loss function, namely, square error loss function (SELF), Modified Square error loss function ...
Masooma Ali Abod, Hazim Mansoor Gorgee
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