This article is cited in 16 papers

Computational methods and algorithms

On construction of monotone predictor-corrector schemes of an arbitrary order of aproximation

V. I. Pinchukov

Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences

Abstract: Correction algorithm for implicit conservative high accuracy schemesis descrebed. Time step condition providing monotonisity of corrected schemes is presented. Sixth order approximation scheme for onedimensional passive convection equation is considered as an example. Numerical results for propagation of different form disturbances aredescribed.

UDC: 519.6+533.7

Received: 20.03.1991

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