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Kubicek, M.; Holodniok, M.; Hlavacek, V.

Calculation of flow between two rotating coaxial disks by differentiation with respect to an actual parameter. (English) Zbl 0347.76024

Comput. Fluids 4, 59-64 (1976).
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Cited in 3 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
68W99 Algorithms in computer science
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References:

[1] Fox, L., (Numerical Solution of Ordinary and Partial Differential Equations (1962), Pergamon Press: Pergamon Press New York) · Zbl 0101.09904
[2] Bellman, R. E.; Kalaba, R. E., (Quasilinearization and Nonlinear Boundary Value Problems (1965), Elsevier: Elsevier New York) · Zbl 0139.10702
[3] Keller, H. B., (Numerical Methods for Two-point Boundary Value Problems (1968), Blaisdell: Blaisdell Waltham) · Zbl 0172.19503
[4] Roberts, S. M.; Shipman, J. S., (Two-point Boundary Value Problems: Shooting Methods (1972), Elsevier: Elsevier New York) · Zbl 0155.47303
[5] Kubíček, M.; Hlaváček, V., Solution of nonlinear boundary value problems—III. A novel method—differentiation with respect to an actual parameter, Chem. Engng Sci., 26, 705-709 (1971)
[6] Kubíček, M.; Hlaváček, V., Solution of nonlinear boundary value problems—Va. A novel method—General Parameter Mapping (GPM), Chem. Engng Sci., 27, 743-750 (1972)
[7] Kubíček, M.; Hlaváček, V., Solution of nonlinear boundary value problems Vb: Predictor-corrector GPM method, Chem. Engng Sci., 27, 2095-2098 (1972)
[8] Kubíček, M.; Hlaváček, V., Solution of nonlinear boundary value problems—VII. A novel method—differentiation with respect to boundary condition, Chem. Engng Sci., 28, 1049-1052 (1973)
[9] Kubíček, M.; Hlaváček, V., General Parameter Mapping technique—a procedure for solution of nonlinear boundary value problems depending on an actual parameter, J. Inst. Math. Appl., 12, 287-293 (1973) · Zbl 0273.34007
[10] Nath, G., Solution of nonlinear problems in magnetofluiddynamics and non-newtonian fluid mechanics through parametric differentiation, AIAA J., 11, 1429-1432 (1973) · Zbl 0269.76072
[11] Narayana, C. L.; Ramamoorthy, P., Compressible boundary-layer equations solved by the method of parametric differentiation, AIAA J., 10, 1085-1086 (1972) · Zbl 0247.76065
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[13] Lance, G. N.; Rogers, M. H., The axially-symmetric flow of a viscous fluid between two infinite rotating discs, (Proc. Roy. Soc. Ser., A266 (1962)), 109-121 · Zbl 0112.41701
[14] Osborne, M. R., On shooting methods for boundary value problems, J. Math. Anal. Appl., 27, 417-433 (1969) · Zbl 0177.20402
[15] Well, K. H., Note on problems by Lance and a problem by Bellman, J. Math. Anal. Appl., 40, 258-269 (1972) · Zbl 0279.65069
[16] Greenspan, D., Numerical studies of flow between rotating coaxial disks, J. Inst. Math. Appl., 9, 370-377 (1972) · Zbl 0236.76032
[17] Kantorovich, L.; Akilov, G., (Functional Analysis in Normed Spaces (1965), Pergamon Press: Pergamon Press New York) · Zbl 0127.06102
[18] Davidenko, D. F., On a new method of numerically integrating a system of nonlinear equations, Dokl. Akad. Nauk SSSR, 88, 601-604 (1953), (Russian)
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[20] Kubíček, M., Algorithm 470: Linear systems with almost tridiagonal matrix, Communs ACM, 16, 760-761 (1973)
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