Spectral collocation solutions to a class of pseudo-parabolic equations
AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…
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.…
Interval-state cellular automata and their applications to image segmentation
AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…
On the behaviour of the solution to a viscoplastic contact problem
AbstractThe present paper represents a continuation of [2]. There, a quasistatic contact problem for viscoplastic materials was considered, in which…
The importance of the planetary boundary structure in the numerical integration of the hydrostatic relation
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy E. Corduneanu KeywordsCite this paper as:V. Soporan, C. Vamoş C. Pavai, Numerical modeling…
The modelling of hydraulic and thermic phenomena specific of casting alloys
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy V. Soporan F. Lungu C. Pavai M. Crisan KeywordsCite this paper as:V.…
Numerical modeling of the cavities during the alloys solidification
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy V. Soporan C. Pavai KeywordsCite this paper as:V. Soporan, C. Vamoş, C.…
The study of the pollutant dispersion in aerian and hydric medium using the homogenization method
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy A. Georgescu D.…
Simulation numérique du transport dans les milieux poreux stratifiés par une methode d’automate cellulaire
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy N. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy KeywordsCite this…
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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