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Runge-Kutta Methods and Local Uniform Grid Refinement

出版	CWI, 1990
URL	http://books.google.com.hk/books?id=dQwLHQAACAAJ&hl=&source=gbs_api

註釋Abstract: "Local uniform grid refinement (LUGR) is an adaptive grid technique for computing solutions of partial differential equations possessing sharp spatial transitions. Using nested, finer-and-finer uniform subgrids, the LUGR technique refines the space grid locally around these transitions, so as to avoid discretization on a very fine grid covering the entire physical domain. This paper examines the LUGR technique for time-dependent problems when combined with static-regridding. Static-regridding means that in the course of the time evolution, the space grid is adapted at discrete times. The present paper considers the general class of Runge-Kutta methods for the numerical time integration