Results 251 to 260 of about 383,116 (283)

Finite-Difference Schemes on Regular Triangular Grids

Journal of Computational Physics, 1993
The authors consider wave propagation errors of linear convection equations in one and two spatial dimensions (1) \(U_ t + c \cdot \text{grad} U = 0\). For the analytical solution an ansatz of harmonic functions is made. This is compared with some numerical semidiscrete approximations of (1). In the 2D-case finite difference schemes are considered on a
Zingg, David W., Lomax, Harvard
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Chaos in Finite Difference Schemes

2003
Publisher Summary The word “chaos” appeared for the first time in the field of mathematics in an article of Li and Yorke entitled “Period Three Implies Chaos.” This short and elegant paper caused a great sensation in the world of mathematical physics.
Masaya Yamaguti, Yoichi Maeda
openaire   +1 more source

Asymptotic Behavior of Solutions in Finite Difference Schemes

Bulletin of the Russian Academy of Sciences: Physics, 2018
In many problems of numerically solving the Schrodinger equation, it is necessary to choose asymptotic distances that are many times greater than the characteristic size of the region of interaction. If the solutions to one-dimensional equations can be immediately chosen in a form that preserves unitarity, the preservation of probability (in, e.g., the
P. M. Krassovitskiy, F. M. Pen’kov
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Finite Difference Scheme for Filtration and Consolidation Problems

2003
It's well known that numerical instabilities appear in the approximation of the Biot's consolidation problem, when standard finite elements or difference methods are applied. To stabilizate this problem, we propose the use of staggered grids for the discretization. A monotone and second order finite difference scheme on this kind of grid is given.
Francisco José Gaspar, Francisco Javier Lisbona, Petr N. Vabishchevich   +2 more
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General derivative approximations for finite different schemes

International Journal for Numerical Methods in Engineering, 1983
AbstractA general expression for finite difference approximations for all derivatives up to the (N − 1)th order on a finite difference mesh with N‐nodes is established. The mesh may be non‐uniform and the derivative evaluated at any of the N‐nodes. An estimate for the truncation error is obtained and shown to depend on the nonlinearity of the mesh as ...
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Finite-Difference Schemes

2008
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FINITE DIFFERENCE SCHEMES

1988
D. LEE, S.T. McDANIEL
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On the Resolution Requirements of Finite‐Difference Schemes

Studies in Applied Mathematics, 1971
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Nonstandard Finite Difference Schemes for Differential Equations

Journal of Difference Equations and Applications, 2002
Ronald E Mickens
exaly  

Exact finite difference and non-standard finite difference schemes for

Journal of Difference Equations and Applications, 2012
Ronald E Mickens
exaly