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Dissipativity of the linearly implicit Euler scheme for Navier‐Stokes equations with delay

Numerical Methods for Partial Differential Equations, 2017
In this article, we study the dissipativity of the linearly implicit Euler scheme for the 2D Navier‐Stokes equations with time delay volume forces (NSD). This scheme can be viewed as an application of the implicit Euler scheme to linearized NSD. Therefore, only a linear system is needed to solve at each time step.
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Implicit kinetic schemes for Euler equations

15th AIAA Computational Fluid Dynamics Conference, 2001
H. Raharjay, Ramesh Agarwal
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Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions

Zeitschrift für angewandte Mathematik und Physik, 2012
The author presents existence results for a differential inclusion governed by a subdifferential operator by using the implicit Euler numerical scheme. They prove that the convergence order is one in a Hilbert space. Applications are given to a class of rheological models.
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A locally implicit scheme for the Euler equations

8th Computational Fluid Dynamics Conference, 1987
K. REDDY, J. JACOCKS
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LU implicit schemes with multiple grids for the Euler equations

24th Aerospace Sciences Meeting, 1986
A. JAMESON, S. YOON
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A New Implicit Formulation of KFVS Scheme for Euler Equations

36th AIAA Fluid Dynamics Conference and Exhibit, 2006
J. Mandal, K. Jain
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