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The computation of discontinuous solutions of linear hyperbolic equations. (English) Zbl 0362.65075

MSC:
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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References:
[1] and , Methods of Numerical Integration, Academic Press, New York, 1974.
[2] Majda, Comm. Pure Appl. Math. 30 pp 671– (1977)
[3] A difference scheme employing fourth order viscosity to enforce an entropy inequality, Proc. Bat-Sheva Seminar on Finite Elements for Nonlinear Problems, Tel-Aviv University, 1977, to appear.
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