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- W2051179427 abstract "A procedure for an unconditionally stable non-iterative step-by-step scheme for the solution of second order ordinary boundary value difference equations is extended to Poisson's equation with Dirichlet boundary conditions. It is shown that owing to the particular method of solution rounding error from a particular grid point has practically no effect on other grid points, and it is absolutely stable for all finite difference forms of Poisson's equation. The extension to other two dimensional partial differential equations is discussed. It is also shown that the scheme is particularly valuable in problems in which a high degree of accuracy is demanded and it is recommended for numerical weather experiments." @default.
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- W2051179427 title "An Unconditionally Stable Scheme for the Numerical Solution of Finite Difference Forms of Poisson's Equation" @default.
- W2051179427 doi "https://doi.org/10.1093/imamat/21.4.479" @default.
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