Hyperbolic Problems

  • Granville Sewell


While PDE/PROTRAN is competitive in speed and accuracy with other software for the solution of elliptic and parabolic problems, it is certainly not ideally designed to handle hyperbolic problems. Nevertheless, because of its ease of use and flexibility, it is expected that it will be occasionally used for hyperbolic problems. The results of this chapter will show, in fact, that for both first and second order hyperbolic problems, PDE/PROTRAN is a useful tool provided the solutions being approximated are smooth, and is probably as robust as other general purpose PDE packages for these problems.


Parabolic Problem High Frequency Noise Artificial Viscosity Hyperbolic Problem Damp Wave Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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    Mitchell, A.R., Griffiths, D.F., The Finite Difference Method in Partial Differential Equations, John Wiley and Sons, New York, (1980).MATHGoogle Scholar
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    Sincovec, R.F., Madsen, N.K., “Software for Nonlinear Partial Differential Equations,” ACM Transactions on Mathematical Software, 1, p245 (1975).Google Scholar
  3. 3.
    Sewell, G., “IMSL Software for Differential Equations in One Space Variable,” IMSL Tech. Report 8202 (1982).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Granville Sewell
    • 1
  1. 1.Mathematics DepartmentUniversity of Texas at El PasoEl PasoUSA

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