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Upwind compact finite difference schemes
Journal of Computational Physics, 1985It 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, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Said, E. A. +2 more
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General derivative approximations for finite different schemes
International Journal for Numerical Methods in Engineering, 1983AbstractA 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, 1999Nonstandard 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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Infrared Difference Spectroscopy of Proteins: From Bands to Bonds
Chemical Reviews, 2020Víctor A Lórenz-Fonfría
exaly