Results 51 to 60 of about 1,262,805 (184)
On the stable difference scheme for the time delay telegraph equation
The stable difference scheme for the approximate solution of the initial boundary value problem for the telegraph equation with time delay in a Hilbert space is presented. The main theorem on stability of the difference scheme is established.
A. Ashyralyev, K. Turk, D. Agirseven
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High-order filtered schemes for the Hamilton-Jacobi continuum limit of nondominated sorting [PDF]
We investigate high-order finite difference schemes for the Hamilton-Jacobi equation continuum limit of nondominated sorting. Nondominated sorting is an algorithm for sorting points in Euclidean space into layers by repeatedly removing minimal elements ...
Calder, Jeff, Thawinrak, Warut
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On the Loss of L-stability of the Implicit Euler Method for a Linear Problem
A number of important applied problems of chemical kinetics, biophysics, theory of electrical circuits are described by systems of stiff ordinary differential equations with given initial conditions.
M.V. Bulatov, L.S. Solovarova
doaj
This article presents the applications of continuous symmetry groups to the computational fluid dynamics simulation of gas flow in porous media.
Pavel Markov, Sergey Rodionov
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Extrapolation techniques for first order hyperbolic partial differential equations [PDF]
A uniform grid of step size h is superimposed on the space variable x in the first order hyperbolic partial differential equation ∂u/∂t + a ∂u/∂x = 0 (a > 0, x > 0, t > 0).
Twizell, E H
core
Stability of central finite difference schemes for the Heston PDE
This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete ...
A Böttcher +14 more
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TVD finite difference schemes and artificial viscosity [PDF]
The total variation diminishing (TVD) finite difference scheme can be interpreted as a Lax-Wendroff scheme plus an upwind weighted artificial dissipation term. If a particular flux limiter is chosen and the requirement for upwind weighting is removed, an
Davis, S. F.
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Improving the accuracy of central difference schemes [PDF]
General difference approximations to the fluid dynamic equations require an artificial viscosity in order to converge to a steady state. This artificial viscosity serves two purposes.
Turkel, Eli
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Fourth order quasi-compact difference schemes for (tempered) space fractional diffusion equations [PDF]
The continuous time random walk (CTRW) underlies many fundamental processes in non-equilibrium statistical physics. When the jump length of CTRW obeys a power-law distribution, its corresponding Fokker-Planck equation has space fractional derivative ...
Deng, Weihua, Wu, Yujiang, Yu, Yanyan
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Numerical study of diffusive fish farm system under time noise
In the current study, the fish farm model perturbed with time white noise is numerically examined. This model contains fish and mussel populations with external food supplied.
Muhammad Waqas Yasin +8 more
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