Computational Science and High Performance Computing III: by Yu. I. Shokin, M. P. Fedoruk, D. L. Chubarov (auth.), Egon PDF
By Yu. I. Shokin, M. P. Fedoruk, D. L. Chubarov (auth.), Egon Krause, Yurii I. Shokin, Michael Resch, Nina Shokina (eds.)
This quantity comprises 18 contributions to the 3rd Russian-German complicated examine Workshop on Computational technology and excessive functionality Computing offered in July 2007 at Novosibirsk, Russia. The workshop used to be prepared together through the excessive functionality Computing middle Stuttgart (HLRS) and the Institute of Computational applied sciences of the Siberian department of the Russian Academy of Sciences (ICT SB RAS) The contributions variety from laptop technology, arithmetic and excessive functionality computing to functions in mechanical and aerospace engineering. They express a wealth of theoretical paintings and simulation event with a possible of bringing jointly theoretical mathematical modelling and utilization of excessive functionality computing platforms offering the state-of-the-art of computational technologies.
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Additional info for Computational Science and High Performance Computing III: The 3rd Russian-German Advanced Research Workshop, Novosibirsk, Russia, July 23 - 27, 2007
7 Numerical Experiments A triangulation of the World Ocean is performed on the basis of the ETOPO2 bathymetric data base . According to the kind of a problem, water basins which are not connected with World Ocean or have only a slight eﬀect on its behavior (for example, Lake Baikal, the Black Sea, the Persian Gulf) should be eliminated from a triangulation. In numerical experiments we used a grid constructed for the part of the World Ocean of no less than 200 metres in depth. As a result, the grid covers a simply connected domain on sphere and the Arctic Ocean appears to be eliminated from numerical experiments.
Consistency and the estimate (21) characterizing stability (provided that an increase of Rf is bounded) imply convergence of the solution of the discrete Problem 4 to that of original problem in the norm (18) at any instant of time. This is conﬁrmed by the numerical results for a model problem . 7 Numerical Experiments A triangulation of the World Ocean is performed on the basis of the ETOPO2 bathymetric data base . According to the kind of a problem, water basins which are not connected with World Ocean or have only a slight eﬀect on its behavior (for example, Lake Baikal, the Black Sea, the Persian Gulf) should be eliminated from a triangulation.
In case of harmonically time dependent processes a transition to a frequency domain is often done, therefore, a problem is reduced to solving the second order equation with respect to a ﬁeld complex amplitude. This approach is used for the wide class of scattering problems; problems on modelling of electromagnetic waves in waveguides and corresponding problems on eigenvalues; problems on borehole sounding. For modelling of nonstationary slowly varying ﬁelds, wave propagation can be neglected and a transition to a parabolic problem can be done.
Computational Science and High Performance Computing III: The 3rd Russian-German Advanced Research Workshop, Novosibirsk, Russia, July 23 - 27, 2007 by Yu. I. Shokin, M. P. Fedoruk, D. L. Chubarov (auth.), Egon Krause, Yurii I. Shokin, Michael Resch, Nina Shokina (eds.)