Results 31 to 40 of about 1,971 (87)

A family of approximate solutions and explicit error estimates for the nonlinear stationary Navier-Stokes problem [PDF]

open access: yes
An algorithm for solving the nonlinear stationary Navier-Stokes problem is developed. Explicit error estimates are given.
Gabrielsen, R. E., Karel, S.
core   +1 more source

A Newton–Kantorovich theorem for equations involving m-Fréchet differentiable operators and applications in radiative transfer

open access: yesJournal of Computational and Applied Mathematics, 2001
The author studies the problem of approximating a locally unique solution of a nonlinear operator equation \( F(x)=0\), where \(F\) is an \(m\)-times Fréchet-differentiable operator (\(m \geq 2\) is a positive integer) defined on a convex subset \(D\) of a Banach space \(E_1\) with values in a Banach space \(E_2\).
openaire   +1 more source

An improvement of the product integration method for a weakly singular Hammerstein equation

open access: yes, 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
core   +1 more source

On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations

open access: yes, 2015
We describe a method for calculating the roots of special functions satisfying second order linear ordinary differential equations. It exploits the recent observation that the solutions of a large class of such equations can be represented via ...
Bremer, James
core  

Monotone Iterations for Nonlinear Equations with Application to Gauss-seidel Methods [PDF]

open access: yes
Monotone iterations for nonlinear equations with application to Gauss-Seidel ...
Ortega, J. M., Rheinboldt, W. C.
core   +1 more source

Missing link survival analysis with applications to available pandemic data. [PDF]

open access: yesComput Stat Data Anal, 2022
Gámiz ML   +3 more
europepmc   +1 more source

A short survey on Kantorovich-like theorems for Newton's method

open access: yes, 2015
We survey influential quantitative results on the convergence of the Newton iterator towards simple roots of continuously differentiable maps defined over Banach spaces.
Lecerf, Grégoire, Saadé, Joelle
core   +1 more source

A Newton-Kantorovich Inverse Function Theorem in Quasi-Metric Spaces

open access: yes
The purpose of this work is to investigate root finding problems defined on (quasi-)metric spaces, and ranging in Euclidean spaces. The motivation for this line of inquiry stems from recent models in biology and phylogenetics, where problems of great practical significance are cast as optimization problems on (quasi-)metric spaces.
openaire   +2 more sources

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