Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
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Speaker |
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Dr. Marcus Kraft |
| Affiliation | : | Hamburg University of Technology, Germany |
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall - I, Dept of Mathematics
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Time |
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4.00 pm
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Date |
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August 10,2007 (Friday) |
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Title |
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On the numerical approximation of nonconservative hyperbolic balance laws |
| Abstract | : | Hyperbolic balance laws with source terms allow non-unique entropy solutions. By taking the source term as a variable and stating its time derivative to be zero, a balance law can be rewritten in a quasi-linear form. This then reveals the loss of strict hyperbolicity at critical states, the so called resonance phenomenon. Numerical schemes are sensitive to this phenomenon and it is uncertain, which entropy solution (if it is non-unique) will be created by an appropriate numerical scheme. |