On the Stability of Finite Difference Schemes Which Approximate Regularly Hyperbolic Systems with Nearly Constant Coefficients

Kametaka, Yoshinori

doi:10.2977/prims/1195195260

Publ. Res. Inst. Math. Sci.

1968

DOI: 10.2977/prims/1195195260

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On the Stability of Finite Difference Schemes Which Approximate Regularly Hyperbolic Systems with Nearly Constant Coefficients

Yoshinori Kametaka

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Cited by 4 publications

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“…It is well known that the Friedrichs scheme is stable in many hyperbolic cases ( [2], [5], [10], [15], [17]) and it is quite natural that this simple scheme may be expected to be stable under less restriction.…”

mentioning

confidence: 99%

On the General Form of Yamaguti-Nogi-Vaillancourt's Stability Theorem

Koshiba¹

1979

Publ. Res. Inst. Math. Sci.

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mentioning

confidence: 99%

On the General Form of Yamaguti-Nogi-Vaillancourt's Stability Theorem

Koshiba¹

1979

Publ. Res. Inst. Math. Sci.

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Stability and A-stability of dissipative difference scheme for strongly hyperbolic systems

Nogi

2001

Japan J. Indust. Appl. Math.

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In this paper we give a stability theorem and an A-stability theorem of dissipative difference schemes for strongly hyperbolic systems with variable coefficients. The A-stability theorem is considered only in the case that those coefficients are differ from constant coefficients by sufficiently small variable parts. We prove them under the assumption that symbols of schemes have smooth symmetrizers, by using the theory of pseudo-difference operators.

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Stability of some difference schemes with C2-coefficients

Koshiba

1981

Journal of Mathematical Analysis and Applications

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On the Stability of Finite Difference Schemes Which Approximate Regularly Hyperbolic Systems with Nearly Constant Coefficients

Cited by 4 publications

References 8 publications

On the General Form of Yamaguti-Nogi-Vaillancourt's Stability Theorem

On the General Form of Yamaguti-Nogi-Vaillancourt's Stability Theorem

Stability and A-stability of dissipative difference scheme for strongly hyperbolic systems

Stability of some difference schemes with C2-coefficients

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