Numerical hydrodynamics: SPH vs. AMR

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The advantages and disadvantages of two approaches to astrophysical hydrodynamics, Smoothed Particle Hydrodynamics and Adaptive Mesh Refinement, are briefly discussed together with some current problems of computational hydrodynamics.
4 pages, LaTeX, requires newpasp.sty. To appear in H. Zinnecker and R.D. Mathieu, eds, Proceedings of the IAU Symposium 200 "The Formation of Binary Stars", held in Potsdam, Germany, April 10-15 2000

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