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# High accuracy finite difference approximation to solutions of elliptic partial differential equations.

@article{Lynch1978HighAF, title={High accuracy finite difference approximation to solutions of elliptic partial differential equations.}, author={Robert E. Lynch and J. D. Rice}, journal={Proceedings of the National Academy of Sciences of the United States of America}, year={1978}, volume={75 6}, pages={2541-4} }

- Published 1978 in Proceedings of the National Academy of Sciences…

A flexible finite difference method is described that gives approximate solutions of linear elliptic partial differential equations, Lu = G, subject to general linear boundary conditions. The method gives high-order accuracy. The values of the unknown approximation function U are determined at mesh points by solving a system of finite difference equations L(h)U = I(h)G. L(h)U is a linear combination of values of U at points of a standard stencil (9-point for two-dimensional problems, 27-point… CONTINUE READING

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