The problems in the form of nonlinear partial derivative equations on graphs (nets, trees) arise in different applications. As the examples of such models we can name the circulatory and respiratory systems of the human body, the model of heavy traffic in the big cities, the model of flood water and pollution propagation in the large river systems, the model of bar structures and frames behavior under the different impacts, the model of the intensive information flows in the computer networks and others.
- Pressure Vessels and Piping Division
Computational Models on Graphs for the Nonlinear Hyperbolic System of Equations
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Kholodov, AS, & Kholodov, YA. "Computational Models on Graphs for the Nonlinear Hyperbolic System of Equations." Proceedings of the ASME/JSME 2004 Pressure Vessels and Piping Conference. Experience With Creep-Strength Enhanced Ferritic Steels and New and Emerging Computational Methods. San Diego, California, USA. July 25–29, 2004. pp. 161-167. ASME. https://doi.org/10.1115/PVP2004-2580
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