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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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A New Technique for Solving Elliptic Partial Differential Equations

A new technique for solving elliptic partial differential equations
Authors: Tee, G. J.;

A New Technique for Solving Elliptic Partial Differential Equations

Abstract

technique. If a square net (h X h) is constructed over R + F, the coefficients of a pair of triangular matrices can be so chosen that the product of the matrices, operating on the values of U at the nodes of the net, approximates to the differential equation (or boundary condition) with truncation error of order 0(h) at every node. Indeed, the coefficients of the triangular matrices may be evaluated at each internal node in turn by solving a set of six linear algebraic equations for each node. Once these coefficients have been computed, the differential equation may be solved numerically for any set of boundary values (and for any function G(x, y)) by back-substitution of the pair of triangular matrices. For any particular set of boundary values, this double back-substitution requires altogether only six multiplications per node.

Keywords

numerical analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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