Results 241 to 250 of about 682,039 (286)

Memoirs of finite difference schemes

Journal of Computational Physics
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S K Godunov, Ivanova, Kseniya A.
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Group Velocity in Finite Difference Schemes

SIAM Review, 1982
The relevance of group velocity to the behavior of finite difference models of time-dependent partial differential equations is surveyed and illustrated. Applications involve the propagation of wave packets in one and two dimensions, numerical dispersion, the behavior of parasitic waves, and the stability analysis of initial boundary-value problems.
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On Monotonic Finite Difference Schemes

Mathematical Models and Computer Simulations, 2020
We propose an approach to construct monotonic finite difference schemes for solving the simplest elliptic and parabolic equations with the first derivatives and a small parameter at the highest derivative. For this, the notion of adaptive artificial viscosity is introduced.
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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
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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
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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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