A posteriori analysis of the spectral element discretization of a non linear heat equation
The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the
Abdelwahed Mohamed, Chorfi Nejmeddine
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High order time discretization for backward semi-Lagrangian methods
International audienceWe introduce different high order time discretization schemes for backward semi-Lagrangian methods. These schemes are based on multi-step schemes like Adams-Moulton and Adams-Bashforth schemes combined with backward finite ...
Prouveur, Charles, Filbet, Francis
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Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations
In this paper we deal with the equation L(d2u/dt2)+B(du/dt)+Au∋f, where L and A are linear positive selfadjoint operators in a Hilbert space H and from a Hilbert space V⊂H to its dual space V′, respectively, and B is a maximal monotone operator from V ...
Pierluigi Colli, Angelo Favini
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The notion of “time” plays an important role when coordinating large, heterogeneous, distributed software systems. We present a generic coordination architecture that supports relative and absolute, discrete time. First, we briefly sketch the ToolBus coordination architecture. Next, we give a major example of its use: a distributed auction. Finally, we
Bergstra, J.A., Klint, P.
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Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent convection-diffusion-reaction equations [PDF]
This paper considers the numerical solution of time-dependent convection-diffusion-reaction equations. We shall employ combinations of streamline-upwind Petrov-Galerkin (SUPG) and local projection stabilization (LPS) methods in space with the higher ...
Ahmed, Naveed, Matthies, Gunar
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The H-theorem for the physico-chemical kinetic equations with explicit time discretization
There is demonstrated in the present paper, that the H-theorem in the case of explicit time discretization of the physico-chemical kinetic equations, generally speaking, is not valid.
Adzhiev S.Z. +2 more
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This work presents a novel simulation approach to couple the meshfree radial point interpolation method (RPIM) with the implicit direct time integration method for the transient analysis of wave propagation dynamics in non-homogeneous media.
Cong Liu +3 more
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Convergence of a variational time discretization for the 1-dimensional isentropic Euler equations
This dissertation is devoted to the proof of convergence of a variational time discretization proposed in [1]. Starting from the variational time discretization, we apply the well-known compensated compactness framework to prove strong convergence of ...
Nguyen, Trong-Hieu
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Feedback linearization of discrete-time nonlinear control systems: computational aspects [PDF]
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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Time discretization and Markovian iteration for coupled FBSDEs
In this paper we lay the foundation for a numerical algorithm to simulate high-dimensional coupled FBSDEs under weak coupling or monotonicity conditions. In particular, we prove convergence of a time discretization and a Markovian iteration.
Bender, Christian, Zhang, Jianfeng
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