Results 51 to 60 of about 334 (91)
A semidiscrete scheme for evolution equations with memory
Discrete & Continuous Dynamical Systems - A, 2019 We introduce a new mathematical framework for the time discretization of evolution equations with memory. As a model, we focus on an abstract version of the equation partial derivative(t)u(t) - integral(infinity)(0) g(s)Delta u(t - s) ds = 0 with Dirichlet boundary conditions, modeling hereditary heat conduction with Gurtin-Pipkin thermal law.
Dell'Oro, Filippo +3 more
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Fitted Tension Spline Scheme for a Singularly Perturbed Parabolic Problem With Time Delay
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.A fitted tension spline numerical scheme for a singularly perturbed parabolic problem (SPPP) with time delay is proposed. The presence of a small parameter ε as a multiple of the diffusion term leads to the suddenly changing behaviors of the solution in the boundary layer region.
Sisay Ketema Tesfaye +4 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.In this paper, a numerical scheme for a time‐dependent singularly perturbed parabolic convection–diffusion problem with boundary turning points is presented. The problem exhibits a left boundary layer in the spatial domain. We use the Crank–Nicolson method for temporal discretization and a nonstandard finite difference approach for spatial ...
Yimesgen Mehari Kebede +3 more
wiley +1 more source
Parallel processors and nonlinear structural dynamics algorithms and software [PDF]
An explicit-explicit subcycling procedure for the finite element analysis of structural dynamics is developed. This procedure has relaxed the usual constraint of requiring integer time step ratios for adjacent nodal groups.
Belytschko, Ted
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Semidiscrete optimal transport with unknown costs
, 2023 Semidiscrete optimal transport is a challenging generalization of the classical transportation problem in linear programming. The goal is to design a joint distribution for two random variables (one continuous, one discrete) with fixed marginals, in a way that minimizes expected cost.
Zhu, Yinchu, Ryzhov, Ilya O.
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Semidiscretization in time for nonlinear Schrödinger-waves equations
Discrete & Continuous Dynamical Systems - A, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Colin, Thierry, Fabrie, Pierre
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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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Efficient linear and nonlinear heat conduction with a quadrilateral element [PDF]
A method is presented for performing efficient and stable finite element calculations of heat conduction with quadrilaterals using one-point quadrature. The stability in space is obtained by using a stabilization matrix which is orthogonal to all linear ...
Belytschko, T., Liu, W. K.
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High-order cyclo-difference techniques: An alternative to finite differences [PDF]
The summation-by-parts energy norm is used to establish a new class of high-order finite-difference techniques referred to here as 'cyclo-difference' techniques.
Carpenter, Mark H., Otto, John C.
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Semidiscrete approximation to Benjamin-type equations
, 2018 In this paper a semidiscrete Fourier pseudospectral method for approximating Benjamin-type equations is introduced and analyzed. A study of convergence is presented.
Dougalis, Vassilios A., Duran, Angel
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