نتایج جستجو برای: Newton-Kantorovitch ‎method.‎

تعداد نتایج: 1641328  

D.‎‎ Nazari ‎Susahab‎ M. Jahanshahi,

The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions‎. ‎The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation‎. ‎Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and Newton-Kantorovitch method‎.  ‎Numerical tests for demo...

Journal: :SIAM J. Scientific Computing 2015
Patrick E. Farrell Á. Birkisson Simon W. Funke

Nonlinear systems of partial differential equations (PDEs) may permit several distinct solutions. The typical current approach to finding distinct solutions is to start Newton’s method with many different initial guesses, hoping to find starting points that lie in different basins of attraction. In this paper, we present an infinite-dimensional deflation algorithm for systematically modifying t...

Journal: :Comp. Opt. and Appl. 2016
Nicolas Delanoue Mehdi Lhommeau Philippe Lucidarme

The problem of optimal transportation was formalized by the French mathematician Gaspard Monge in 1781. Since Kantorovitch, this (generalized) problem is formulated with measure theory. Based on Interval Arithmetic, we propose a guaranteed discretization of the Kantorovitch’s mass transportation problem. Our discretization is spatial: supports of the two mass densities are partitioned into fini...

Journal: :Mathematical Structures in Computer Science 2011
Ioana Pasca

We discuss a formal development for the certification of Newton’s method. We address several issues encountered in the formal study of numerical algorithms: developing the necessary libraries for our proofs, adapting paper proofs to suit the features of a proof assistant, and designing new proofs based on the existing ones to deal with optimizations of the method. We start from Kantorovitch’s t...

Journal: :Applications of Mathematics 1960

2013
XIAOLU TAN NIZAR TOUZI

We consider an extension of the Monge–Kantorovitch optimal transportation problem. The mass is transported along a continuous semimartingale, and the cost of transportation depends on the drift and the diffusion coefficients of the continuous semimartingale. The optimal transportation problem minimizes the cost among all continuous semimartingales with given initial and terminal distributions. ...

Journal: :IEEE Geosci. Remote Sensing Lett. 2006
Octavien Cmielewski Marc Saillard Kamal Belkebir Hervé Tortel

This letter considers the problem of detecting and characterizing a target buried beneath a rough surface separating two homogeneous half spaces. The problem of detecting the target is tackled by analyzing the frequency-averaged Wigner–Ville function, the purpose of which is to filter out rough surface scattering. Characterization of the target is performed using the iterative solution derived ...

Journal: :caspian journal of mathematical sciences 2014
h. esmaeili m. rostami

‎in this paper‎, ‎we present a new modification of chebyshev-halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎the convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎so‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that o...

Journal: :bulletin of the iranian mathematical society 2015
h. esmaeili e. mahmoodabadi m. ahmadi

in this paper, we propose a parametric uniform approximation method to solve np-hard absolute value equations. for this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be formulated as a smooth nonlinear equation. by solving the parametric smooth nonlinear equation using newton method, for a decreasing sequence of parameters, we can get the ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه گیلان - دانشکده علوم پایه 1388

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