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Discrete-Time Implementation of Continuous Terminal Algorithm With Implicit-Euler Method
IEEE Access, 2019 This paper proposes an alternative implementation for a continuous terminal algorithm (CTA) proposed by Torres-Gonzalez et al. The original CTA is a continuous version of the twisting algorithm (TA), which mitigates the chattering by integrating the ...
Xiaogang Xiong +3 more
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On the Loss of L-stability of the Implicit Euler Method for a Linear Problem
Известия Иркутского государственного университета: Серия "Математика", 2015 A number of important applied problems of chemical kinetics, biophysics, theory of electrical circuits are described by systems of stiff ordinary differential equations with given initial conditions.
M.V. Bulatov, L.S. Solovarova
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Feedback linearization of discrete-time nonlinear control systems: computational aspects [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 An alternative solution of the static state feedback linearization problem for the discrete-time case is given. This solution is based on the sequence of distributions, whose computation requires only the knowledge of the backward shift equations.
Tanel Mullari, Ülle Kotta
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Hydraulic behavior modeling of the simple tank using the Finite Difference Method: a comparison of four different methods [PDF]
پژوهشهای زیرساختهای عمرانی, 2018 In this paper, the hydraulic modeling of a simple surge tank with two assumptions of with or without friction condition at both gradually and suddenly valve closing is studied.
Ramtin Moeini
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A splitting semi-implicit Euler method for stochastic incompressible Euler equations on 𝕋2
IMA Journal of Numerical Analysis, 2022 Abstract The main difficulty in studying numerical methods for stochastic evolution equations (SEEs) lies in the treatment of the time discretization (Printems, 2001, ESAIM Math. Model. Numer. Anal.35, 1055–1078). Although fruitful results on numerical approximations have been developed for SEEs, as far as we know, none of them include ...
Hong, Jialin, Sheng, Derui, Zhou, Tau
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Analysis of the Implicit Euler Local Uniform Grid Refinement Method [PDF]
SIAM Journal on Scientific Computing, 1993 Attention is focused on parabolic problems having solutions with sharp moving transitions in space and time. An adaptive grid method is analysed that refines the space grid locally around sharp spatial transitions, so as to avoid discretization on a very fine grid over the entire physical domain.
R.A. Trompert (Ronald) +1 more
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Affine particle-in-cell method for two-phase liquid simulation
Virtual Reality & Intelligent Hardware, 2021 Background: The interaction of gas and liquid can produce many interesting phenomena, such as bubbles rising from the bottom of the liquid. The simulation of two-phase fluids is a challenging topic in computer graphics.
Luan Lyu, Wei Cao, Enhua Wu, Zhixin Yang
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Cumhuriyet Science Journal, 2021 Randall-Wilkins and One Trap One Recombination (otor) models have been proposed to explain thermoluminescence emission and it should be emphasized that each model has its own allowed charge carrier transitions, trapping parameters and differential ...
Erdem Uzun
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Composite Backward Differentiation Formula for the Bidomain Equations
Frontiers in Physiology, 2020 The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit methods usually require the solution of a very large ...
Xindan Gao +2 more
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Discretization of asymptotically stable homogeneous systems by explicit and implicit euler methods [PDF]
2016 IEEE 55th Conference on Decision and Control (CDC), 2016 Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit Euler method has certain drawbacks for the global approximation of homogeneous systems with non-zero ...
Efimov, Denis +3 more
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