Methods of Newton and Newton-Krylov type
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…
Average conditional jump for a white noise superposed on a linear trend
AbstractThe average conditional jumps for a white noise superposed on a linear trend are computed both theoretically and numerically and…
Smooth dependence on parameters for a differential equation with delay from population dynamics
AbstractTime delays occur in differential equation arising in many fields of applied mathematics: chemistry, ecology, biology, population dynamics, electric engineering.…
The detection and diagnosis of low-level stellar variability through resampling methods
AbstractAuthorsA. Pop C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy KeywordsCite this paper as:A. Pop and C. Vamoş, The detection and…
Detrended fluctuation analysis of autoregressive processes
AbstractAutoregressive processes (AR) have typical short-range memory. Detrended Fluctuation Analysis (DFA) was basically designed to reveal long-range correlations in non…
Automatic algorithm for monotone trend removal
AbstractThe available numerical algorithms for trend removal require a direct subjective intervention in choosing critical parameters. In this paper an…
On the long time energy conservation by high order geometric integrators
AbstractThe main aim of this paper is to investigate the long-time behavior of three high order geometric integrators, namely an…
Global random walk modeling of transport in complex systems
AbstractThe Global random walk algorithm performs simultaneously the tracking of large collections of particles and permits massive simulations at reasonable…
On the self-averaging of dispersion for transport in quasi-periodic random media
AbstractIn this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in heterogeneous…
Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin
Abstract AuthorsN. Suciu Institute of Applied Mathematics, Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen, Germany C. Vamos T. Popoviciu Institute of…
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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