Random Walkers Cellular Automata for Diffusion Processes
AbstractSmooth concentration fields and balance equations for systems of random walkers are obtained by using the coarsegrained space‐time averaging method…
2000
On the Misra-Prigogine-Courbage theory of irreversibility 2. The existence of the nonunitary similarity
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
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
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
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
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
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
Abstract (soon) AuthorsIon Păvăloiu Keywords(soon) References[1] BRENT, R., WINOGRAD, S., WOLFE, F., Optimal Iterative Processes for Root-Finding, Numer. Math., 20,…
Publications
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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