2000

On the bifurcation and variational approximation of the positive solution of a nonlinear reaction-diffusion problem

6 years ago

Abstract We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion processes. When the reaction term has…

A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics

6 years ago

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

Random Walkers Cellular Automata for Diffusion Processes

6 years ago

AbstractSmooth concentration fields and balance equations for systems of random walkers are obtained by using the coarsegrained space‐time averaging method…

On the Misra-Prigogine-Courbage theory of irreversibility 2. The existence of the nonunitary similarity

6 years ago

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

Derivation of one-dimensional hydrodynamic model for stock price evolution

6 years ago

AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…

Perturbed-Steffensen-Aitken projection methods for solving equations with nondifferentiable operators

7 years ago

Abstract We use perturbed Steffensen-Aitken methods to approximate a locally unique solution of an operator equation in a Banach space. Using…

On the approximate solutions of implicit functions using the Steffensen method

7 years ago

Abstract We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to…

A note on the quadratic convergence of the inexact Newton methods

7 years ago

Abstract We show that a new sufficient condition for the convergence with q-order two of the inexact Newton iterates may be…

On the Chebyshev method for approximating the solutions of polynomial operator equations of degree 2

7 years ago

Abstract The Chebyshev method for approximating the solutions of polynomial operator equations of degree 2 is presented. The convergence of the Chebyshev…

Optimal efficiency index of a class of Hermite iterative methods with two steps

7 years ago

Abstract The inverse interpolatory polynomials of Hermite type with 2 nodes, allhaving the same order of multiplicity \(q\in N\), provide…

2000

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