Ascher U. Weiss R. Collocation for singular perturbation problems. 1: 1st-order systems with constant coefficients. SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 1983, 20(3):537-557. SJNAAM, 0036-1429
Bieniasz L.K. Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid h-refinement. Appl. Math. Comput. 2008, 198(2):665-682. AMHCBQ, 0096-3003, 10.1016/j.amc.2007.09.002
Clark J.D. Fraser W.B. Stump D.M. Modeling of tension in yarn package unwinding. J. Eng. Math. 2001, 40(1):59-75. JLEMAU, 0022-0833, 10.1023/A:1017525804392
Denoël V. Advantages of a semi-analytical approach for the analysis of an evolving structure with contacts. Commun. Numer. Methods Eng. 2008, 24(12):1667-1683. CANMER, 1069-8299, 10.1002/cnm.1059
Esipova V. The asymptotic behavior of solutions of the general boundary value problem for singularly perturbed systems of ordinary differential equations of conditionally stable type. J. Differ. Equations 1975, 11(11):1457-1465. JDEQAK, 0022-0396
Flaherty J.E. O'Malley R.E. Singularly-perturbed boundary-value-problems for nonlinear systems, including a challenging problem for a non-linear beam. Lect. Notes Math. 1982, 942:170-191. LNMAA2, 0075-8434, 10.1007/BFb0094747
Hinch E.J. Perturbation methods 1991 Cambridge University Press, Cambridge, U.K.
Irvine H.M. Statics of suspended cables. J. Engrg. Mech. Div. 1975, 101(3):187-205. JMCEA3, 0044-7951
Irvine M. Local bending stresses in cables. Int. J. Offshore Polar Eng. 1993, 3(3):172-175. IOPEE7, 1053-5381
Jain M.K. Iyengar S.R. K. Subramanyam G.S. Variable mesh methods for the numerical-solution of 2-point singular perturbation problems. Comput. Methods Appl. Mech. Eng. 1984, 42(3):273-286. CMMECC, 0045-7825, 10.1016/0045-7825(84)90009-4
Kevorkian J. Cole J.D. Multiple scale and singular perturbation methods 1996 Springer, New York.
Kumar M. Singh P. Mishra H.K. A recent survey on computational techniques for solving singularly perturbed boundary value problems. Int. J. Comput. Math. 2007, 84(10):1439-1463. IJCMAT, 0020-7160, 10.1080/00207160701295712
Lindstedt A. Sur la forme des expressions des distances mutuelles dans le problème des trois corps. Acad. Sci. Paris, C. R. 1883, 97:1276-1278. COREAF, 0001-4036
Maier M.R. An adaptive shooting method for singularly perturbed boundary-value-problems. SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 1986, 7(2):418-440. SJNAAM, 0036-1429
Plunkett R. Static bending stresses in catenaries and drill strings. J. Eng. Ind. 1967, 89(1):31. JEFIA8, 0022-0817
Poincaré H. Les méthodes nouvelles de la mécanique céleste 1957, 2. Dover, New York.
Rao S.C. S. Kumar M. B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems. J. Optim. Theory Appl. 2007, 134(1):91-105. JOTABN, 0022-3239, 10.1007/s10957-007-9200-6
Rienstra S.W. Analytical approximations for offshore pipelaying problems. Proc., Int. Conf. on Industrial and Applied Mathematics 1987 La Vilette, Paris.
Schmeiser C. Finite deformations of thin beams-Asymptotic analysis by singular perturbation-methods. J. Appl. Math. 1985, 34(2):155-164. 1110-757X
Schmeiser C. Weiss R. Asymptotic analysis of singular singularly perturbed boundary-value-problems. SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 1986, 17(3):560-579. SJNAAM, 0036-1429
Stump D.M. Fraser W.B. Bending boundary layers in a moving strip. Nonlinear Dyn. 2000, 21(1):55-70. NODYES, 0924-090X, 10.1023/A:1008306308220
Stump D.M. van der Heijden G.H. M. Matched asymptotic expansions for bent and twisted rods: Applications for cable and pipeline laying. J. Eng. Math. 2000, 38(1):13-31. JLEMAU, 0022-0833, 10.1023/A:1004634100466
Stynes M. Oriordan E. A finite-element method for a singulary perturbed boundary-value problem. Numerische Mathematik 1986, 50(1):1-15. 10.1007/BF01389664, 0002-7820
Timoshenko S.P. Goodier J.N. Theory of elasticity 1987 3rd Ed., McGraw-Hill, New York.
Vasileva A.B. Asymptotic expansions of solutions of singularly perturbed equations 1973, Nauka, Moscow.
Wolfe P. Asymptotic analysis of a rod with small bending stiffness. Q. Appl. Math. 1991, 49(1):53-65. QAMAAY, 0033-569X
Wolfe P. Hanging cables with small bending stiffness. Nonlinear Anal. Theory, Methods Appl. 1993, 20(10):1193-1204. NOANDD, 0362-546X, 10.1016/0362-546X(93)90150-Q