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Finite Difference Schemes for MCM and AMSS [PDF]

open access: yesImage Processing On Line, 2011
This article refers to algorithms based on finite difference schemes for computing mean and affine curvature evolutions of digital images, introduced by Alvarez and Morel [L. Alvarez, J.M. Morel, “Formalization and computational aspects of image analysis”
Marco Mondelli, Adina Ciomaga
doaj   +2 more sources

On nonstandard finite difference schemes in biosciences [PDF]

open access: yesAIP Conference Proceedings, 2012
We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in ...
Anguelov, Roumen   +2 more
openaire   +4 more sources

Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations

open access: yesJournal of Applied Mathematics, 2014
We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
doaj   +4 more sources

On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Difference schemes of the finite difference method and the finite element method of high-order accuracy in time and space are proposed and investigated for a pseudo-parabolic Sobolev type equation.
M.M. Aripov   +3 more
doaj   +2 more sources

Conservative finite difference schemes for dynamical systems

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2022
The article presents the implementation of one of the approaches to the integration of dynamical systems, which preserves algebraic integrals in the original fdm for Sage system.
Yu Ying, Zhen Lu
doaj   +1 more source

Generalized finite-difference schemes [PDF]

open access: yesMathematics of Computation, 1969
Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
openaire   +1 more source

Nonstandard Finite Difference Schemes for an SIR Epidemic Model

open access: yesMathematics, 2021
This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law.
Mohammad Mehdizadeh Khalsaraei   +3 more
doaj   +1 more source

Finite difference schemes with monotone operators

open access: yesAdvances in Difference Equations, 2004
Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
doaj   +2 more sources

A Mixed Finite Differences Scheme for Gradient Approximation [PDF]

open access: yesJournal of Optimization Theory and Applications, 2022
AbstractIn this paper, we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective function is costly or the objective function values are affected by some noise.
Marco Boresta   +3 more
openaire   +2 more sources

Recursive finite-difference Lattice Boltzmann schemes [PDF]

open access: yesComputers & Mathematics with Applications, 2021
The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Lucien Vienne, Emmanuel Lévêque
openaire   +2 more sources

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