Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations




Cabaret method, Sharp scheme, hyperbolic equations, high-accuracy schemes


The Sharp difference scheme of higher-order accuracy developed previously for solving the scalar one-dimensional transport equation is extended to the shallow water nonlinear systems and to the systems of Euler equations using the balance-characteristic approach. For these systems, a number of test problems are solved to illustrate the features of the solutions obtained by the described difference scheme.

Author Biographies

A.V. Solovjev

A.V. Danilin


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How to Cite

Соловьев А.В., Данилин А.В. Using the Sharp Scheme of Higher-Order Accuracy for Solving Some Nonlinear Hyperbolic Systems of Equations // Numerical methods and programming. 2019. 20. 45-53. doi 10.26089/NumMet.v20r105



Section 1. Numerical methods and applications