Results 41 to 50 of about 9,201 (174)

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos   +1 more
wiley   +1 more source

Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

open access: yesMathematics, 2021
We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar   +3 more
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

open access: yesMathematical 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
wiley   +1 more source

Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative

open access: yesJournal of Numerical Analysis and Approximation Theory, 2013
We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj   +2 more sources

FRÉCHET-MARINESCU’S DERIVATIVE IN THE MATHEMATICAL MODELING OF DYNAMIC SYSTEMS [PDF]

open access: yesFiabilitate şi Durabilitate, 2013
The paper presents an application of the functional analysis, especially of differentialcalculus in linear topological locally convex spaces leading to formulae representing the evolution ofstates in dynamical systems with infinite fading ...
Eufrosina OTLACAN
doaj  

An approximate Taylor method for Stochastic Functional Differential Equations via polynomial condition

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The subject of this paper is an analytic approximate method for a class of stochastic functional differential equations with coefficients that do not necessarily satisfy the Lipschitz condition nor linear growth condition but they satisfy some polynomial
Djordjević Dušan D.   +1 more
doaj   +1 more source

An Extension on the Local Convergence for the Multi-Step Seventh Order Method with ψ-Continuity Condition in the Banach Spaces

open access: yesFractal and Fractional, 2022
The local convergence analysis of the multi-step seventh order method to solve nonlinear equations is presented in this paper. The point of this paper is that our proposed study requires a weak hypothesis where the Fréchet derivative of the nonlinear ...
Mohammad Taghi Darvishi   +4 more
doaj   +1 more source

Shape derivatives of boundary integral operators in electromagnetic scattering [PDF]

open access: yes, 2010
We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle.
Costabel, Martin   +1 more
core   +1 more source

An objective Bayesian method for including parameter uncertainty in ensemble model output statistics

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Conventional model output statistics and ensemble model output statistics methods for calibrating ensemble forecasts lead to severe underestimation of the probabilities of ensemble extremes (in blue). This is because they ignore statistical parameter uncertainty.
Stephen Jewson   +4 more
wiley   +1 more source

Generalised conservation laws in non-local field theories

open access: yes, 2016
We propose a geometrical treatment of symmetries in non-local field theories, where the non-locality is due to a lack of identification of field arguments in the action.
Kegeles, Alexander, Oriti, Daniele
core   +1 more source

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