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.
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References
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This work was performed while the author was a visiting Professor of Mathematics of the Hebrew University of Jerusalem.
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Miranker, W.L. Difference schemes with best possible truncation error. Numer. Math. 17, 124–142 (1971). https://doi.org/10.1007/BF01406001
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DOI: https://doi.org/10.1007/BF01406001