Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Barles, 1985

Brakke, 1978

Chorin, 1985, J. Comput. Phys., 57, 472, 10.1016/0021-9991(85)90191-3

Chorin, 1980, J. Comput. Phys., 35, 1, 10.1016/0021-9991(80)90030-3

Crandall, 1984, Math. Comp., 43, 1, 10.1090/S0025-5718-1984-0744921-8

Frankel, 1982, Comb. Sci. Technol., 29, 207, 10.1080/00102208208923598

Gage, 1983, Duke Math. J., 50, 1225, 10.1215/S0012-7094-83-05052-4

Gage, 1984, Invent. Math., 76, 357, 10.1007/BF01388602

Gage, 1986, J. Differential Geom., 23, 69, 10.4310/jdg/1214439902

Grayson, 1988, J. Differential Geom., 26, 285, 10.4310/jdg/1214441371

Grayson, 1987

Godunov, 1959, Mat. Sb., 47, 271

Harten, 1987, J. Comput. Phys., 71, 231, 10.1016/0021-9991(87)90031-3

Harten, 1986, Appl. Num. Math., 2, 237, 10.1016/0168-9274(86)90039-5

Huisken, 1984, J. Differential Geom., 20, 237, 10.4310/jdg/1214438998

Kutnetsov, 1977

Kruz'kov, 1970, Math. U.S.S.R. Sb., 10, 217, 10.1070/SM1970v010n02ABEH002156

Landau, 1944, Acta Physiocochim. URSS, 19

Langer, 1980, Rev. Mod. Phys., 52, 1, 10.1103/RevModPhys.52.1

Langer, 1983, Phys. Rev. A, 27, 499, 10.1103/PhysRevA.27.499

Lay, 1957, Comm. Pure Appl Math., 10, 537, 10.1002/cpa.3160100406

Markstein, 1951, J. Aero. Sci., 18, 199, 10.2514/8.1900

Markstein, 1964

Mullins, 1963, J. Appl Phys., 34, 2885, 10.1063/1.1702607

Nichols, 1965, Trans. Metall Soc. RIME, 223, 1840

Noh, 1976

Osher, 1984, SIAM J. Num. Anal., 21, 217, 10.1137/0721016

Oleinik, 1956, T. Moscow Mat. Obsc., 5, 433

Situ, 1988, J. Comput. Phys., 77, 439, 10.1016/0021-9991(88)90177-5

Pamplin, 1975

Sethian, 1982

Sethian, 1985, Commun. Math. Phys., 101, 487, 10.1007/BF01210742

Sethian, 1987

Sethian, 1984, J. Comput. Phys., 54, 425, 10.1016/0021-9991(84)90126-8

Sethian, 1986

J.A. Sethian and S. Osher, Level Set Algorithms for Hele-Shaw Flow, J. Comput. Phys., in preparation.

Sivashinsky, 1977, Acta Astronaut., 4, 1177, 10.1016/0094-5765(77)90096-0

Turnbull, 1956, 3

Zabusky, 1984, J. Comput. Phys., 52, 351, 10.1016/0021-9991(83)90035-9

Zeldovich, 1981, Comb. Flame, 40, 225, 10.1016/0010-2180(81)90126-7