Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case [PDF]
An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier–Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete methods are addressed in the ...
Novo, Julia +6 more
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On some Boussinesq systems in two space dimensions : theory and numerical analysis [PDF]
A three-parameter family of Boussinesq type systems in two space dimensions is considered. These systems approximate the three-dimensional Euler equations, and consist of three nonlinear dispersive wave equations that describe two-way propagation of long
Jean-Claude Saut +5 more
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An Error Indicator for Semidiscrete Schemes [PDF]
The eectiv eness of adaptive mesh renemen t strategies (AMR) relies heavily on the quality of the indicator that drives the process of mesh renemen t and coarsening. In this work, an indicator based on the local production of entropy is proposed, extending previous work by the authors on one-dimensional schemes, based on staggered cells.
D. MAROBIN, PUPPO, GABRIELLA ANNA
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Method of semidiscretization in time for quasilinearintegrodifferential equations [PDF]
We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
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Image Processing in the Semidiscrete Group of Rototranslations [PDF]
It is well-known, since [12], that cells in the primary visual cortex V1 do much more than merely signaling position in the visual field: most cortical cells signal the local orientation of a contrast edge or bar – they are tuned to a particular local orientation.
Prandi, Dario +2 more
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Convergence of a two-grid algorithm for the control of the wave equation [PDF]
We analyze the problem of boundary observability of the finite-difference space semidiscretizations of the 2-d wave equation in the square.We prove the uniform (with respect to the meshsize) boundary observability for the solutions obtained by the two ...
Ignat, L.I., Zuazua, E.
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Highly efficient strong stability preserving Runge-Kutta methods with Low-Storage Implementations [PDF]
Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration of semidiscretizations of partial differential equations. SSP methods preserve stability properties satisfied by forward Euler time integration, under a modified ...
Ketcheson, David I.
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On the continuum limit for a semidiscrete Hirota equation [PDF]
In this paper, we propose a new semidiscrete Hirota equation which yields the Hirota equation in the continuum limit. We focus on the topic of how the discrete space step δ affects the simulation for the soliton solution to the Hirota equation. The Darboux transformation and explicit solution
Andrew Pickering +2 more
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Semidiscretization for Time-Delayed Neural Balance Control [PDF]
Summary: The observation that time-delayed feedback can stabilize an inverted pendulum motivates the formulation of models of human balance control in terms of Delay Differential Equations (DDEs). Recently the intermittent, digital-like nature of the neural feedback control of balance has become evident.
Tamás Insperger +2 more
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Stability of rational multistep approximations of holomorphic semigroups
In this paper we prove the stability of semidiscretizations in time of holomorphic semigroups in Banach spaces by means of A ( α ) {\text {A}}(\alpha ) -stable rational multistep methods.
C. Palencia
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