Partial discretization and preservation relations
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