Keywords
- Shock Wave
- Rarefaction Wave
- Burger Equation
- Continuous Solution
- Ordinary Differential Equa
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References
Gerdes, W.; Martensen, E.: Das Rotheverfahren für die räumlich eindimensionale Wellengleichung. ZAMM 58 (1978) T367–T368
Halter, E.: Das Rotheverfahren für das Anfangs-Randwertproblem der Wellengleichung im Außenraum. Dissertation, Karlsruhe 1979
Halter, E.: The convergence of the horizontal line method for the continuity equation with discontinuous data. ZAMP 35 (1984) 715–722
Martensen, E.: The convergence of the horizontal line method for Maxwell's equations. Math. Methods Appl. Sci. 1 (1979) 101–113
Martensen, E.: The Rothe method for the wave equation in several space dimensions. Proc. Roy. Soc. Edinburgh 84A (1979) 1–18
Martensen, E.: The Rothe method for the vibrating string containing contact discontinuities. Meth. Verf. math. Phys. 26 (1983) 47–67
Martensen, E.: Approximation of a rarefaction wave by discretization in time. Applications of Mathematics in Technology, V. Boffi and H. Neunzert eds. Stuttgart: Teubner 1984, 195–211
Munz, C.-D.: Über die Gewinnung physikalisch relevanter Stoßwellenlösungen mit dem Rotheverfahren. Dissertation, Karlsruhe 1983
Munz, C.-D.: Approximate solution of the Riemann problem for the Burgers equation by the transversal method of lines. To appear in ZAMP
Rektorys, K.: The Method of Discretization in Time and Partial Differential Equations. Dordrecht/Boston/London: Reidel Publishing Company 1982
Rothe, E.: Zweidimensionale parabolische Randwertaufgeben als Grenzfall eindimensionaler Randwertaufgaben. Math.Ann. 102 (1930) 650–670
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© 1986 Equadiff 6 and Springer-Verlag
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Martensen, F. (1986). The rothe method for nonlinear hyperbolic problems. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076098
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DOI: https://doi.org/10.1007/BFb0076098
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