Results 1 to 10 of about 77 (73)
Accuracy Bounds for Semidiscretizations of Hyperbolic Problems [PDF]
Mathematics of Computation, 1985 Bounds are given for the error constant of stable finite-difference methods for first-order hyperbolic equations in one space dimension, which use r downwind and s upwind points in the discretization of the space derivatives, and which are of optimal ...
Rolf Jeltsch, Jeltsch Rolf
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Semidiscrete Vortex Solitons [PDF]
Advanced Photonics Research, 2021 A possibility of creation of stable optical solitons combining one continuous and one discrete coordinates, with embedded vorticity, in an array of planar waveguides with intrinsic cubic–quintic (CQ) nonlinearity is demonstrated. The same system may be realized in terms of the spatiotemporal light propagation in an array of tunnel‐coupled optical ...
Xiaoxi Xu +6 more
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Quenching for discretizations of a semilinear parabolic equation with nonlinear boundary outflux
Journal of Numerical Analysis and Approximation Theory, 2023 In this paper, we study numerical approximations of a semilinear parabolic problem in one-dimension, of which the nonlinearity appears both in source term and in Neumann boundary condition.
Kouakou Cyrille N'Dri +3 more
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Semidiscrete Quantum Droplets and Vortices [PDF]
Physical Review Letters, 2019 We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion, loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the MF force balanced by the effectively one-dimensional attraction, induced in each trap by the Lee-Hung-Yang correction (produced by quantum fluctuations around the MF state ...
Xiliang Zhang +7 more
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Variational Laplacians for semidiscrete surfaces [PDF]
Advances in Computational Mathematics, 2016 The authors propose a variational definition of the Laplacian on semidiscrete surfaces. Recall that the classical Laplace-Beltrami operator on Riemannian manifolds can be defined via the Dirichlet energy functional with an obvious connection to the mean curvature normal vector.
Carl, Wolfgang, Wallner, Johannes
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Semidiscretization for a nonlocal parabolic problem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 A time discretization technique by Euler forward scheme is proposed to deal with a nonlocal parabolic problem. Existence and uniqueness of the approximate solution are proved.
Abderrahmane El Hachimi +1 more
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An Error Indicator for Semidiscrete Schemes [PDF]
, 2006 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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Numerical quenching for a semilinear parabolic equation
Mathematical Modelling and Analysis, 2008 This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time.
Diabate Nabongo, Theodore K. Boni
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Semidiscretization in time for parabolic problems [PDF]
Mathematics of Computation, 1979 We study the error to the discretization in time of a parabolic evolution equation by a single-step method or by a multistep method when the initial condition is not regular.
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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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