Results 131 to 140 of about 35,609 (308)
The convergence of subspace trust region methods
, 2009 The trust region method is an effective approach for solving optimization problems due to its robustness and strong convergence. However, the subproblem in the trust region method is difficult or time-consuming to solve in practical computation ...
Zhen-Jun Shi +3 more
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
Elevator dynamic monitoring and early warning system based on machine learning algorithm
IET Networks, EarlyView., 2022 In order to monitor and warn the elevator dynamics, in this work, the machine learning algorithm is introduced, and the particle swarm algorithm is used to perfect the model. The model is optimised, and the experimental comparison shows that the optimisation of the model parameters can further improve the accuracy of the elevator load prediction. Then,
Shuai Zhang, Qiangguo Yin, Jinlong Wang
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Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source
Identification of nonlinear state-space systems using zero-input responses [PDF]
, 2004 This paper studies the generalization of linear subspace identification techniques to nonlinear systems. The basic idea is to combine nonlinear minimal realization techniques based on the Hankel operator with embedding theory used in time-series modeling.
Verdult, Vincent +3 more
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
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Exploring Asymptotic Normality in Multinomial Models
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
The method of subspace corrections
Journal of Computational and Applied Mathematics, 2001 The article presents an overview on the method of subspace corrections, which provides a unified view of many iterative procedures in numerical mathematics, e.g. Jacobi- and Gauss-Seidel iteration, successive overrelaxation, multigrid methods and domain decomposition methods.
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source