Quenching for semidiscretizations of a semilinear heat equation with potential and general nonlinearity [PDF]
Journal of Numerical Analysis and Approximation Theory, 2011 This paper concerns the study of the numerical approximation for the following boundary value problem \begin{equation*} \begin{cases} u_t(x,t)-u_{xx}(x,t)= -a(x)f(u(x,t)), & 00, \\ u(x,0)= u_{0}(x)>0, & 0\leq x \leq 1, \\ \end{cases} \end{equation*
Halima Nachid
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Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data. [PDF]
Numer Math (Heidelb), 2016 Wulff C, Evans C.
europepmc +3 more sources
A New Technique for Preserving Conservation Laws [PDF]
, 2021 This paper introduces a new symbolic-numeric strategy for finding semidiscretizations of a given PDE that preserve multiple local conservation laws. We prove that for one spatial dimension, various one-step time integrators from the literature preserve ...
Frasca-Caccia, Gianluca, Hydon, Peter E.
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Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations [PDF]
, 2016 We prove that a class of A-stable symplectic Runge--Kutta time semidiscretizations (including the Gauss--Legendre methods) applied to a class of semilinear Hamiltonian PDEs which are well-posed on spaces of analytic functions with analytic initial data ...
Wulff, Claudia, Oliver, M
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An explicit multi-time-stepping algorithm for aerodynamic flows [PDF]
, 1996 An explicit multi-time-stepping algorithm with applications to aerodynamic flows is presented. In the algorithm, in different parts of the computational domain different time steps are taken, and the flow is synchronized at the so-called synchronization ...
Veldman, A.E.P. +6 more
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Error estimates for finite element approximations of elliptic control problems [PDF]
, 2007 We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum ...
Bräutigam, Nils +2 more
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On the stability of high-speed milling with spindle speed variation [PDF]
, 2010 Spindle speed variation is a well-known technique to suppress regenerative machine tool vibrations, but it is usually considered to be effective only for low spindle speeds.
Arnaud, Lionel +4 more
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Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case [PDF]
, 2008 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 +5 more
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Method of semidiscretization in time for quasilinearintegrodifferential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 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]
, 2015 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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