Cryer, Colin W. The method of Christopherson for solving free boundary problems for infinite journal bearings by means of finite differences. (English) Zbl 0223.65044 Math. Comput. 25, 435-443 (1971). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 21 Documents MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 65L12 Finite difference and finite volume methods for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Garrett Birkhoff and Donald F. Hays, Free boundaries in partial lubrication, J. Math. and Phys. 42 (1963), 126 – 138. · Zbl 0124.43405 [2] A. Cameron & W. L. Wood, “The full journal bearing,” Inst. Mech. Engrs. J. Proc., v. 161, 1949, pp. 59-64. [3] Derman G. Christopherson, A new mathematical method for the solution of film lubrication problems, Inst. Mech. Engrs. J. Proc. 146 (1941), 126 – 135. · Zbl 0063.00888 [4] C. W. Cryer, The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences, Technical Report #72, Computer Sciences Dept., University of Wisconsin, Madison, Wisconsin, 1969. [5] Colin W. Cryer, The solution of a quadratic programming problem using systematic overrelaxation, SIAM J. Control 9 (1971), 385 – 392. · Zbl 0201.22202 [6] A. A. Gnanadoss & M. R. Osborne, “The numerical solution of Reynolds’ equation for a journal bearing,” Quart. J. Mech. Appl. Math., v. 17, 1964, pp. 241-246. · Zbl 0244.65077 [7] O. Pinkus & B. Sternlicht, Theory of Hydrodynamic Lubrication, McGraw-Hill, New York, 1961. · Zbl 0100.23001 [8] A. A. Raimondi & J. Boyd, “A solution for the finite journal bearing and its application to analysis and design. III, Trans. Amer. Soc. Lubrication Engrs., v. 1, 1958, pp. 194-209. [9] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. · Zbl 0133.08602 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.