Direct Solution of Elliptic Equations by Block Cyclic Reduction and Factorization
Rosmond, Thomas E.
Faulkner, Frank D.
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Poisson's and Helmholtz's equations are perhaps the most frequently occurring and important types of partial differential equations encountered in the atmospheric sciences. This paper presents a very fast, accurate technique for finding the numerical solution known as cyclic reduction and factoralization. This method has not heretofore been brought to the attention of the meteorological community at large.
The article of record as published may be found at http://dx.doi.org/10.1175/1520-0493(1976)104<0641:DSOEEB>2.0.CO;2