Impulsive Linearly Implicit Euler Method for the SIR Epidemic Model with Pulse Vaccination Strategy
In this paper, a new numerical scheme, which we call the impulsive linearly implicit Euler method, for the SIR epidemic model with pulse vaccination strategy is constructed based on the linearly implicit Euler method. The sufficient conditions for global
Gui-Lai Zhang +3 more
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Parameter estimation using multiparametric programming for implicit Euler’s method based discretization [PDF]
Abstract This work presents a study that aims to compare two discretization methods for solving parameter estimation using multiparametric programming. In our earlier work, parameter estimation using multiparametric programming was presented where model parameters were obtained as an explicit function of measurements.
Ernie Che Mid, Vivek Dua
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A note on convergence of semi-implicit Euler methods for stochastic pantograph equations
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Yu Xiao, H. Y. Zhang
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The Implicit Euler Scheme for One-Sided Lipschitz Differential Inclusions
Beyn W-J, Rieger J. The implicit Euler scheme for one-sided Lipschitz differential inclusions. Discrete And Continuous Dynamical Systems. Series B. 2010;14(2):409-428.We propose a set-valued version of the implicit Euler scheme for relaxed one-sided ...
Janosch Rieger
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Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method [PDF]
The approach to solve the Navier-Stokes equations involving implicit time schemes introduced in [\textit{M. O. Bristeau} et al., Comput. Methods Appl. Mech. Eng. 17--18, 619--657 (1979; Zbl 0423.76047)] is analyzed using a least-squares method.
Lemoine, Jérôme, Münch, Arnaud
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Convergence analysis of the semi-implicit euler method for abstract evolution equations [PDF]
The semi-implicit Euler discretization method is studied for abstract evolution equations in a Hilbert space H, like , where f(t,•,v) is one-sided Lipschitz and sufficiently small, and f(t u, •) is Lipschitz-continuous. Extension to Banach spaces is then pointed out.
SPIGLER R, VIANELLO, MARCO
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Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y.
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C., Mao, X., Higham, D.J.
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Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]
We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
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Embedding wellformed Euler diagrams [PDF]
Euler diagrams are collections of labelled closed curves. They are often used to represent information about the relationship between sets and, as such, they have numerous applications including: visualizing biological data, diagrammatic logics, and ...
Andrew Fish +8 more
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