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Zbl 1160.76399
Monaghan, Joseph J.
Theory and applications of smoothed particle hydrodynamics.
(English)
[A] Blowey, James F. (ed.) et al., Frontiers of numerical analysis. Durham 2004. Written contributions of the 11th LMS-EPSRC computational mathematics and scientific computing summer scholl, Durham, UK, July 4--9, 2004. Berlin: Springer. Universitext, 143-194 (2005). ISBN 3-540-23921-9/pbk

From the text: This is one of the several review articles the author has written on the theory and applications of smooth particle hydrodynamics (SPH). The topics reviewed include: integral and summation interpolants, SPH Euler equations, Lagrangian SPH, SPH heat conduction, viscosity, and applications to shock and rarefaction problems. The paper contains exercises and some numerical simulations.
MSC 2000:
*76M28 Particle methods and lattice-gas methods
65M99 Numerical methods for IVP of PDE
76N99 Compressible fluids and gas dynamics, general
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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