Finite-difference experiments with a simple conservation law

Author / Creator

Berkofsky, Louis, author

Available as

Online

Summary

The authors applied a number of versions of the Lax-Wendroff scheme to obtain solutions of the finite-difference form of a simple conservation law. The principal results, deduced from a large numbe...

The authors applied a number of versions of the Lax-Wendroff scheme to obtain solutions of the finite-difference form of a simple conservation law. The principal results, deduced from a large number of numerical experiments, are that the stability of the solutions is highly correlated with the initial conditions, and that the use of a smoothing operator together with the Lax-Wendroff scheme gives the most satisfactory results.

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