Results 41 to 50 of about 2,835 (158)
Kuwait Journal of Science, 2023 Solving functional nonlinear equations leads to the question: which to begin with, linearization or discretization? Recent papers confirmed that linearizing then discretizing (L.D) is better.
Ilyes Sedka +2 more
doaj +1 more source
Generalized Newton's Method based on Graphical Derivatives [PDF]
, 2010 This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify a new generalized Newton algorithm based on graphical derivatives, which have
Hoheisel, T. +3 more
core +2 more sources
, 2017 In this paper, we present and apply a computer-assisted method to study steady states of a triangular cross-diffusion system. Our approach consist in an a posteriori validation procedure, that is based on using a fxed point argument around a numerically ...
Breden, Maxime, Castelli, Roberto
core +2 more sources
Newton-Kantorovich-Vietoris method
, 2017 In this short work we consider nonlinear equation in Banach space $x = A(x)$. We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method.
openaire +2 more sources
Improving Newton's method performance by parametrization: the case of Richards equation [PDF]
, 2016 The nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve, especially with Newton's method. In this paper, we apply to Richards equation a strategy that consists in defining a new primary unknown for the ...
Brenner, Konstantin, Cancès, Clément
core +3 more sources
Materials Research, 2013 A semi-analytical approach for analysis of laminated plates with general boundary conditions under a general distribution of loads is developed. The non-linear equations are solved by the Newton-Kantorovich-Quadrature (NKQ) method which is a combination ...
Rasoul Khandan +4 more
doaj
Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
doaj +1 more source
Inverse scattering problems and their applications in various field of technology
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2023 Relevance. The practical application of subsurface radar methods for solving the problems of diagnostics and assessing the state of technical objects, flaw detection of multilayer structurally inhomogeneous structures, searching for subsurface ...
D.O. Batrakov
doaj +1 more source
Rigorous Enclosures of Solutions of Neumann Boundary Value Problems
, 2020 This paper is dedicated to the problem of isolating and validating zeros of non-linear two point boundary value problems. We present a method for such purpose based on the Newton-Kantorovich Theorem to rigorously enclose isolated zeros of two point ...
Gameiro, Marcio +2 more
core
A modified Newton-secant method for solving nonsmooth generalized equations
Mathematical Modelling and AnalysisIn this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral +3 more
doaj +1 more source