Results 81 to 90 of about 2,433 (265)
On the Euler implicit/explicit iterative scheme for the stationary Oldroyd fluid
Numerical Methods for Partial Differential Equations, 2018 In this article, we consider the stationary Oldroyd fluid equations from the large time behavior research of the nonstationary equations. Thus, to obtain its numerical solution, we first solve the nonstationary Oldroyd fluid equations via the Euler implicit/explicit finite element method with the integral term discretized by the right‐hand rectangle ...
Yingwen Guo, Yinnian He
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
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Boundary Value Problems, 2020 This paper deals with the iterative algorithm and the implementation of the spectral discretization of time-dependent Navier–Stokes equations in dimensions two and three.
Mohamed Abdelwahed +3 more
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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The posteriori analysis of the spectral element discretization of the wave equation
Boundary Value ProblemsThis work focuses on discretizing a second-order linear wave equation using the implicit Euler scheme for time discretization and the spectral element method for spatial discretization.
Nejmeddine Chorfi
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Weak error expansion of the implicit Euler scheme
, 2013 In this paper, we extend the Talay Tubaro theorem to the implicit Euler scheme.
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High‐Order Sliding‐Mode control for MIMO Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
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The Penalty resolution of the spectral element discretization of the time dependent Darcy equations
Boundary Value ProblemsThe time-dependent Darcy system, when discretized in time using the implicit Euler scheme and in space using the spectral element method, can be efficiently solved using the penalty method.
Nejmeddine Chorfi +2 more
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A Robust Spline Collocation Method for Pricing American Put Options
Discrete Dynamics in Nature and Society, 2019 In this paper a robust numerical method is proposed for pricing American put options. The Black-Scholes differential operator in the original form is discretized by using a quadratic spline collocation method on a piecewise uniform mesh for the spatial ...
Zhongdi Cen, Anbo Le, Aimin Xu
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Construction of positivity-preserving numerical method for stochastic SIVS epidemic model
Advances in Difference Equations, 2019 In this paper we propose the balanced implicit numerical techniques for maintaining the nonnegative path of the solution in stochastic susceptible–infected–vaccinated–susceptible (SIVS) epidemic model.
Wenrui Li, Qimin Zhang
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