2002

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation

6 years ago

AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation

6 years ago

AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…

On the Misra-Prigogine-Courbage theory of irreversibility

6 years ago

AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…

On the superlinear convergence of the successive approximations method

7 years ago

Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…

Affine invariant conditions for the inexact perturbed Newton method

7 years ago

Abstract The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant…

On the approximation of solutions to nonlinear operators between metric spaces

7 years ago

Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…

On a third order iterative method for solving polynomial operator equations

7 years ago

Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…

Aitken-Steffensen-type methods for nonsmooth functions (II)

7 years ago

Abstract We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a…

Aitken-Steffensen-type methods for nonsmooth functions (I)

7 years ago

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming…

2002

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