Results 41 to 50 of about 9,201 (174)
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
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
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
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
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]
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
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
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]
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
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
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

