A sparse matrix method for renal models

Stephenson, 1974, Quantitative analysis of mass and energy balance in non-ideal models of the renal counterflow system, Proc. Nat. Acad. Sci. U.S.A., 71, 1618, 10.1073/pnas.71.5.1618 Stephenson, 1976, A model of solute and water movement in the kidney, Proc. Nat. Acad. Sci. U.S.A., 73, 252, 10.1073/pnas.73.1.252 Tewarson, 1976, Use of sparse matrix techniques in numerical solution of differential equations for renal counterflow systems, Comp. Biomed. Res., 9, 507, 10.1016/0010-4809(76)90010-0 Tewarson, 1976, Sparse matrix methods and mathematical models of the renal concentrating mechanism, Conference Proceedings, 1976 Summer Computer Simulation Conference, 500 Mejia, 1977, Comparison of numerical methods for renal network flows, J. Comput. Phys., 23, 53, 10.1016/0021-9991(77)90087-0 Tewarson, 1978, A note on solution of large sparse systems of nonlinear equations, J. Math. Anal. Appl., 63, 439, 10.1016/0022-247X(78)90089-6 Farahzad, 1978, An efficient numerical method for solving the differential equations of renal counterflow systems, Comput. Biol. and Med., 8, 57, 10.1016/0010-4825(78)90013-6 Farahzad, 1980, An efficient numerical method for solving the differential equations of renal counterflow systems, Errata, 10, 178 Tewarson, 1978, On the numerical solution of differential equations for renal counterflow systems, Comput. Biomed. Res., 11, 381, 10.1016/0010-4809(78)90019-8 Farahzad, 1979, Numerical continuation method for the solution of a set of parallel flow tubes, Comput. Biol. and Med., 9, 21, 10.1016/0010-4825(79)90019-2 Farahzad, 1980, Numerical continuation method for the solution of a set of parallel flow tubes, Errata, 10, 178 Mejia, 1980, A test problem for kidney models, Math. Biosci., 50, 129, 10.1016/0025-5564(80)90126-1 Lorry, 1980, Numerical solution of a kidney model by multiple shooting, Math. Biosci., 50, 117, 10.1016/0025-5564(80)90125-X Tewarson, 1981, On the use of Simpson's rule in renal models, Math. Biosci., 55, 1, 10.1016/0025-5564(81)90009-2 Tewarson, 1973 Aktas, 1977, A classification and survey of numerical methods for boundary value problems in ordinary differential equations, Internat. J. Numer. Methods Engrg., 11, 771, 10.1002/nme.1620110503 Daniel, 1979, A road map of methods for approximating solutions of two-point boundary value problems, 1 Deuflhard, 1979, Nonlinear equation solvers in boundary value problem codes, 40 Osborne, 1979, An analysis of stabilized march, 144 Tewarson, 1980, On the use of splines for the numerical solution of non-linear two-point boundary value problems, BIT, 20, 223, 10.1007/BF01933195 Childs, 1979