Abstract
The goal of the performance evaluations in this chapter is to show how the discretization error decreases as the grid is refined and more computer time is used. Standard error analyses estimate the discretization error as a function of the grid sizeN (i.e., for anN byN grid), or, respectively, the grid steph = 1 /N. Thus, asecond order method, such as 5 POINT STAR uses, has error = O(h 2 ) = O(l/N 2 ).
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References
Houstis, E. N., and J. R. Rice [ 1982 ], “High order methods for elliptic partial differential equations with singularities”, Inter. J. Numer. Meth. Engng. 18, pp. 737 –754.
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© 1985 Springer-Verlag New York Inc.
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Rice, J.R., Boisvert, R.F. (1985). Performance of Discretization Modules. In: Solving Elliptic Problems Using ELLPACK. Springer Series in Computational Mathematics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5018-0_10
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DOI: https://doi.org/10.1007/978-1-4612-5018-0_10
Publisher Name: Springer, New York, NY
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