A finite-volume TVD Riemann solver for the 2D shallow water equations

Authors

  • V.A. Morozov Lomonosov Moscow State University

Keywords:

операторные уравнения, некорректные задачи, метод регуляризации, обобщенный принцип невязки, метод коллокации

Abstract

The problem of constructing an "optimal" algorithm for finding the operator values on the solution of an operator equation with exact and approximate initial data is considered. The structure of such an algorithm is discussed. The order-of-magnitude optimality of several well-known methods for solving ill-posed problems is proved (in particular, the regularization method with regularization parameter choice on the basis of the residual principle, the residual operator method, and the method of quasisolutions are analyzed for various ways of apriori information specification). Two examples are examined. The work was supported by the Russian Foundation for Basic Research (04-01-00026).

Author Biography

V.A. Morozov

Lomonosov Moscow State University,
Research Computing Center

References

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New computational technologies

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Published

31-03-2006

How to Cite

Морозов В. A Finite-Volume TVD Riemann Solver for the 2D Shallow Water Equations // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2006. 7. 105-107

Issue

Vol. 7 (2006): Issue 1.

Section

Section 1. Numerical methods and applications

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