Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method
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DOI: 10.1007/s00211-021-01171-1
Abstract: This work analyzes a least-squares method in order to solve implicit time schemes associated to the 2D and 3D Navier-Stokes system, introduced in 1979 by Bristeau, Glowinksi, Periaux, Perrier and Pironneau. Implicit time schemes reduce… read more here.
Keywords: squares method; least squares; euler scheme; implicit euler ... See more keywords
Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model
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DOI: 10.1016/j.apnum.2020.12.018
Abstract: Abstract In this paper, we deal with the existence and stability of an equilibrium age distribution of the linearly implicit Euler-Riemann method for nonlinear age-structured population model with density dependence, i.e., the Gurtin-MacCamy models. It… read more here.
Keywords: linearly implicit; implicit euler; riemann method; euler riemann ... See more keywords
Semi-Implicit Euler Digital Implementation of Conditioned Super-Twisting Algorithm With Actuation Saturation
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DOI: 10.1109/tie.2022.3229380
Abstract: The standard super-twisting algorithm (STA) suffers from the windup problem when the actuator of the underlying controlled system is saturated. In the literature, an extension of the standard STA called conditioned STA was proposed to… read more here.
Keywords: twisting algorithm; implicit euler; semi implicit; super twisting ... See more keywords