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Numerical methods for nanoscopic systems based on density matrix renormalization
(American Scientific Publishers, 2008-12)
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to nanoscopic and low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise ...
25 Years of Self-organized Criticality: Numerical Detection Methods
(Springer, 2015-05)
The detection and characterization of self-organized criticality (SOC), in both real and simulated data, has undergone many significant revisions over the past 25 years. The explosive advances in the many numerical methods ...
Mathematical formulation of a new linear surface element for the modeling of axisymmetric magnetic field problems
(IOS Press, 2019-09)
There are currently two main trends in solving magnetic field problems, numerical methods, of which the Finite Element Method (FEM) is undoubtedly the most popular, and analytical methods, of which there is a great diversity ...
Generalized numerical model for the simulation of electrophoretic methods in microfluidic chips
(Asociación Argentina de Mecánica Computacional, 2008-12)
Electrophoretic methods are separation techniques based on the mobility of ions under the action of an external electric field. These techniques, which are widely used in chemical and biochemical analysis, have been ...
Probing numerical Laplace inversion methods for two and three-site molecular exchange between interconnected pore structures
(Academic Press Inc Elsevier Science, 2018-01)
Two-dimension (2D) Nuclear Magnetic Resonance relaxometry experiments are a powerful tool extensively used to probe the interaction among different pore structures, mostly in inorganic systems. The analysis of the collected ...
A 3D numerical model of an ONAN distribution transformer
(Pergamon-Elsevier Science Ltd, 2019-02-05)
The aim of this work is to validate a numerical model used to simulate the natural convection in a distribution transformer. The transformer of interest is of the oil natural air natural (ONAN) type and the model seeks to ...
Error analysis of generalized-alpha Lie group time integration methods for constrained mechanical systems
(Springer, 2015-01)
Generalized-α methods are very popular in structural dynamics. They are methods of Newmark type and combine favourable stability properties with second order convergence for unconstrained second order systems in linear ...
Hydrostatic equilibrium preservation in MHD numerical simulation with stratified atmospheres: Explicit Godunov-type schemes with MUSCL reconstruction
(EDP Sciences, 2019-11)
Many astrophysical processes involving plasma flows are produced in the context of a gravitationally stratified atmosphere in hydrostatic equilibrium, in which strong gradients can exist with gas properties that vary in ...
Convergence Criterium of Numerical Chaotic Solutions Based on Statistical Measures
(Scientific Research Publishing, 2011-04)
Solutions of most nonlinear differential equations have to be obtained numerically. The time series obtained by numerical integration will be a solution of the differential equation only if it is independent of the integration ...
Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems
(Elsevier Science, 2018-11)
Let Ω⊂R2 be a polygonal domain, and let Li, i=1,2, be two elliptic operators of the form Liu(x):=−div(Aix∇u(x))+cixu(x)−fix.Motivated by the results in Blanc et al. (2016), we propose a numerical iterative method to compute ...