On an approximation operator and its Lipschitz constant
AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Numerical Modeling of Solute Transport in Heterogeneous Aquifers
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…
Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation
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
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
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
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
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
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
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)
Abstract We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a…
Publications
Diffusion in Random Fields. Applications to Transport in Groundwater
Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…
Read More Methods of Newton and Newton-Krylov type
Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…
Read More Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions
AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…
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