Gingold, R. A.; Monaghan, J. J. Kernel estimates as a basis for general particle methods in hydrodynamics. (English) Zbl 0487.76010 J. Comput. Phys. 46, 429-453 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 65 Documents MSC: 76M99 Basic methods in fluid mechanics 76L05 Shock waves and blast waves in fluid mechanics 76T99 Multiphase and multicomponent flows 85A05 Galactic and stellar dynamics Keywords:kernel estimation; particle methods in hydrodynamics; conservation laws; isothermal shock; collapse of gas clouds; tidal interaction of stars PDF BibTeX XML Cite \textit{R. A. Gingold} and \textit{J. J. Monaghan}, J. Comput. Phys. 46, 429--453 (1982; Zbl 0487.76010) Full Text: DOI OpenURL References: [1] Von Neumann, J., (), 361 [2] Pasta, J.R.; Ulan, S., Math. tables other aids to comput., 13, 1, (1959) [3] Larson, R., J. comput. phys., 27, 397, (1978) [4] Leboeuf, J.N.; Tajima, T.; Dawson, J.M., J. comput. phys., 31, 319, (1979) [5] Rosenblatt, M., Ann. math. statist., 27, 832, (1956) [6] Rosenblatt, M., Ann. math. statist., 42, 1815, (1971) [7] Boneva, L.I.; Kendall, D.; Stepanov, I., J. roy. statist. soc., 33, 1, (1971) [8] Eckart, C., Phys. fluids., 3, 421, (1960) [9] Gingold, R.A.; Monaghan, J.J., Mon. not. roy. astron. soc., 181, 375, (1977) [10] Gingold, R.A.; Monaghan, J.J., Mon. not. roy. astron. soc., 184, 481, (1978) [11] Gingold, R.A.; Monaghan, J.J., Mon. not. roy. astron. soc., 188, 39, (1979) [12] Penston, M.V., Roy. obs. bull., No. 117, (1966) [13] Bodenheimer, P.; Sweigart, A., Astrophys. J., 152, 515, (1968) [14] Gingold, R.A.; Monaghan, J.J., Mon. not. roy. astron. soc., 191, 897, (1980) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.