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STABILITY OF FINITE DIFFERENCE SCHEMES FOR SIMMETRIC HYPERBOLIC SYSTEMS

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ARTICLE ANNOTATION

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In this article we investigate the stability of the finite difference schemes using the Neumann method for symmetric hyperbolic systems. For the two-dimensional symmetric hyperbolic system, the condition of the Lax-Wendroff scheme stagnation has been studied. To check for resilience usingMathCad software it has been done some calculations.

AUTHORS

U.Sardor

Andijan State University

O.Raxmonov

Tags

# айирмали схемалар# турғунлик шартлари# симметрик гиперболик системалар# MathCad тизими# конечно-разностные схемы# условия устойчивости# симметричные гиперболические сис# система MathCad# finite differenced schemes# stability conditions# symmetric hyperbolic systems# MathCad system

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References

PD Lax & B. Wendroff, Finite difference Schemes with High Order of Solution for Hyperbolic Systems, Report NYO-9759, AEC Computing and Applied Math. Center, New York University, 1962

RD Richtmyer, Finite difference Methods for Initial Value Problems, Interscience Publishers, New York, 1957

H.-O. Kreiss. Stability theory for di ff Neutral approximations of mixed initial boundary value problems. I. Math. Comp., 22: 703-714, 1968

Harten A. On the symmetric form of systems of conservation laws with enthropy. J. Comput. Phys. 1983. V. 49, 1, p.151-164

Svetlana Selivanova . Victor Selivanov. Computing ing the Solution Operators of Symmetric Hyperbolic Systems of PDE. Journal of Universal Computer Science, vol. 15, no. 6 (2009)

Jean-Francois Coulombel. Stability of fi nite di ff Neutral schemes for hyperbolic initial boundary value problems. France 2009 y

Joel A.Tropp "An elementary proof of the spectral radius formula for matrices". 2001.