Abstract
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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Nogi, T. Stability and A-stability of dissipative difference scheme for strongly hyperbolic systems. Japan J. Indust. Appl. Math. 18, 425–444 (2001). https://doi.org/10.1007/BF03168584
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DOI: https://doi.org/10.1007/BF03168584