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Equadiff 6 pp 387–392Cite as

The rothe method for nonlinear hyperbolic problems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

Keywords

  • Shock Wave
  • Rarefaction Wave
  • Burger Equation
  • Continuous Solution
  • Ordinary Differential Equa

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References

  1. Gerdes, W.; Martensen, E.: Das Rotheverfahren für die räumlich eindimensionale Wellengleichung. ZAMM 58 (1978) T367–T368

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  2. Halter, E.: Das Rotheverfahren für das Anfangs-Randwertproblem der Wellengleichung im Außenraum. Dissertation, Karlsruhe 1979

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  3. Halter, E.: The convergence of the horizontal line method for the continuity equation with discontinuous data. ZAMP 35 (1984) 715–722

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  4. Martensen, E.: The convergence of the horizontal line method for Maxwell's equations. Math. Methods Appl. Sci. 1 (1979) 101–113

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  5. Martensen, E.: The Rothe method for the wave equation in several space dimensions. Proc. Roy. Soc. Edinburgh 84A (1979) 1–18

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  6. Martensen, E.: The Rothe method for the vibrating string containing contact discontinuities. Meth. Verf. math. Phys. 26 (1983) 47–67

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  7. 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

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  8. Munz, C.-D.: Über die Gewinnung physikalisch relevanter Stoßwellenlösungen mit dem Rotheverfahren. Dissertation, Karlsruhe 1983

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  9. Munz, C.-D.: Approximate solution of the Riemann problem for the Burgers equation by the transversal method of lines. To appear in ZAMP

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  10. Rektorys, K.: The Method of Discretization in Time and Partial Differential Equations. Dordrecht/Boston/London: Reidel Publishing Company 1982

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  11. 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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  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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