Difference schemes with best possible truncation error |
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Authors: | W L Miranker |
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Institution: | (1) IBM Research Center, Yorktown Heights, New York, U. S. A. |
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Abstract: | In this paper we present a variety of schemes for solving the initial value problem for a class of hyperbolic systems of partial differential equations. These schemes arise as solutions of constrained minimization problems for a quadratic form. The form is an expression for the local truncation error for a certain class of difference schemes.This work was performed while the author was a visiting Professor of Mathematics of the Hebrew University of Jerusalem. |
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