Partial discretization and preservation relations

Mathematical Modelling - Tập 4 - Trang 223-244 - 1983
Diego B. Hernández1
1Departamento de Ingeniería Universidad Autónoma Metropolitana Iztapalapa, Apdo. 55-534 09340 México DF México

Tài liệu tham khảo

Hernandez, 1981, On some guiding principles in mathematical modelling with special emphasis on determinism, Mathematical Modelling, 2, 179, 10.1016/0270-0255(81)90023-3 Padulo, 1974 Zeigler, 1976 Friedly, 1972 Belleni-Morante, 1979 Trotter, 1958, Approximation of semigroups of operators, Pacific J. Math., 8, 887, 10.2140/pjm.1958.8.887 Pazy, 1974, Semigroups of linear operators and applications to partial differential equations, Vol. 10 Banks, 1978, Hereditary control problems: Numerical methods based on averaging approximations, SIAM J. Control Opt., 16, 169, 10.1137/0316013 Banks, 1979, Spline approximations for functional differential equations, J. Diff. Eqs., 34, 496, 10.1016/0022-0396(79)90033-0 Banks, 1981, An approximation theory for nonlinear partial differential equations with applications to identification and control Kurtz, 1969, Extensions of Trotter's operators semigroup approximation theorems, J. Functional Anal., 3, 354, 10.1016/0022-1236(69)90031-7 Kurtz, 1970, A general theorem on the convergence of operator semigroups, Trans. Am. Math. Soc., 148, 23, 10.1090/S0002-9947-1970-0256210-5 Kurtz, 1981, Approximation of population processes, Vol. 36 Aris, 1980, Hierarchies of models in reactive systems, 1 Huang, 1980, Yield optimization in a tube wall reactor, ACS Symposium Series No. 124, 10.1021/bk-1980-0124.ch027 Fukami, 1977, Human platelet storage organelles: A Review, Thromb. Haematostas, 38, 963, 10.1055/s-0038-1651914 Adams, 1981, Platelet adhesion and release: Interfacial concentration of released materials, Am. J. Physiol., 240 Bird, 1960 Davis, 1973, Exact solutions for a class of heat and mass transfer problems, Can. J. Chem. Eng., 51, 562, 10.1002/cjce.5450510506 Hsu, 1967, An exact mathematical solution for entrance region laminar heat transfer with axial conduction, Appl. Sci. Res., A17, 359, 10.1007/BF02116438 Michelsen, 1974, The Graetz problem with axial heat conduction, Int. J. Heat Mass Transfer, 17, 1391, 10.1016/0017-9310(74)90140-9 Siegel, 1957, Steady laminar heat transfer in a circular tube with prescribed wall heat flux, Appl. Sci. Res., A7, 386 Papoutsakis, 1980, The extended Graetz problem with prescribed wall flux, AIChE J., 26, 779, 10.1002/aic.690260511 Michelsen, 1975, A fast solution technique for a class of linear partial differential equations, Chem. Eng. J., 18, 59, 10.1016/0300-9467(79)80014-3 Schultz, 1972, The computational complexity of elliptic partial differential equations, 73 Courant, 1961 Hernandez, 1979, Parameter lumping: When and to what extent?, Paper 9f of the 72nd Annual AIChE Conference Eidelman, 1969 Whittaker, 1965 Riesz, 1955 Smith, 1978 Davis, 1963 Prenter, 1975 Finlayson, 1966, The method of weighted residuals—A review, Appl. Mech. Rev., 19, 735 Finlayson, 1972 Villadsen, 1967, Solution of boundary value problems by orthogonal collocation, Chem. Eng. Sci., 22, 1483, 10.1016/0009-2509(67)80074-5 Villadsen, 1970 Aris, 1975 Douglas, 1974, Collocation methods for parabolic equations in a single space variable, 10.1007/BFb0057337