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Inexact Newton–Kantorovich Methods for Constrained Nonlinear Model Predictive Control
IEEE Transactions on Automatic Control, 2019 In this paper, we consider Newton–Kantorovich type methods for solving control-constrained optimal control problems that appear in model predictive control. Conditions for convergence are established for an inexact version of the Newton–Kantorovich method applied to variational inequalities. Based on these results, two groups of algorithms are proposed
Asen L. Dontchev +3 more
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Solving nonlinear integral equations in the Urysohn form by Newton–Kantorovich–quadrature method
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saberi-Nadjafi, Jafar, Heidari, Mahdi
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, 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
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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
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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
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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
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Fast finite difference solvers for singular solutions of the elliptic Monge-Amp\`ere equation
, 2010 The elliptic Monge-Ampere equation is a fully nonlinear Partial Differential Equation which originated in geometric surface theory, and has been applied in dynamic meteorology, elasticity, geometric optics, image processing and image registration ...
A.M. Oberman +38 more
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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
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An effective solution to the nonlinear, nonstationary Navier-Stokes equations for two dimensions [PDF]
A sequence of approximate solutions for the nonlinear, nonstationary Navier-Stokes equations for a two-dimensional domain, from which explicit error estimates and rates of convergence are obtained, is described.
Gabrielsen, R. E.
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An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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