References
Gourlay, A. R., andA. R. Mitchell: Alternating direction methods for hyperbolic systems. Numer. Math.8, 137–149 (1966).
Kreiss, H. O.: Über implizite Differenzmethoden für partielle Differentialgleichungen. Numer. Math.5, 24–47 (1963).
Lax, P. D., andR. D. Richtmyer: Survey of the stability of linear finite difference equations. Comm. Pure Appl. Math.9, 267–293 (1956).
——, andB. Wendroff: Difference schemes for hyperbolic equations with high order of accuracy. Comm. Pure Appl. Math.17, 381–398 (1964).
Schechter, S.: Quasi-tridiagonal matrices and type-insensitive difference equations. Quart. Appl. Math.18, 285–295 (1960).
Varga, R. S.: Matrix iterative analysis. New York: Prentice Hall 1962.
Wendroff, B.: On centered difference equations for hyperbolic systems. J. Soc. Ind. Appl. Math.8, 549–555 (1960).
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Gourlay, A.R., Mitchell, A.R. A stable implicit difference method for hyperbolic systems in two space variables. Numer. Math. 8, 367–375 (1966). https://doi.org/10.1007/BF02162980
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DOI: https://doi.org/10.1007/BF02162980