Results 221 to 230 of about 49,679 (263)

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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Finite-difference scheme to solve Schrödinger equations

Physical Review E, 1993
Comparisons are made among several three-node finite-difference schemes (FDS's) for solving time-independent Schr\"odinger equations. It is shown that the Mickens FDS is, although exact in some special cases, generally two orders lower than the Numerov FDS. An alternative FDS, the combined Numerov-Mickens FDS, is introduced.
, Chen, , Xu, , Sun
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Modified-truncation finite difference schemes

Journal of Computational Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Finite Difference Scheme for Barotropic Gas Equations

Doklady Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Imranov, F. B., Kobel'kov, G. M., Sokolov, A. G.   +2 more
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Exact finite difference and non-standard finite difference schemes for

Journal of Difference Equations and Applications, 2012
Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .
Lih-Ing Wu Roeger, Ronald E. Mickens
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Upwind compact finite difference schemes

Journal of Computational Physics, 1985
It was shown by \textit{M. Ciment}, \textit{S. H. Leventhal}, and \textit{B. C. Weinberg} [J. Comput. Phys. 28, 135-166 (1978; Zbl 0393.65038)] that the standard compact finite difference scheme may break down in convection dominated problems. An upwinding of the method, which maintains the fourth order accuracy, is suggested and favorable numerical ...
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Finite difference scheme for variational inequalities

Journal of Optimization Theory and Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Said, E. A., Noor, M. A., Khalifa, A. K.   +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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AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES

Journal of Computational Acoustics, 1999
Nonstandard finite difference schemes offer the potential for either constructing exact discrete models of differential equations or obtaining discrete models that do not have the elementary numerical instabilities. While the general laws for constructing such schemes are not precisely known at the present time, a number of important rules have been ...
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