Issue 29

A. Castellano et alii, Frattura ed Integrità Strutturale, 29 (2014) 128-138; DOI: 10.3221/IGF-ESIS.29.12 138 [4] Magnus, W., On the exponential solution of differential equations for a linear operator, Comm. Pure Appl. Math., VII (1954) 649 – 673. [5] Blanes, S., Casas, F., Oteo, J.A., Ros, J., The Magnus expansion and some of its applications, Physics Reports, 470 (2009) 151 – 238. [6] Iserles, A., Munthe-Kaas, H.Z., Norsett, S.P., Zanna, A., Lie-group methods, Acta Numer., 9 (2000) 215 – 365. [7] Iserles, A., Norsett, S.P., On the solution of linear differential equations in Lie groups, Phil. Trans. R. Soc. A, 357 (1999) 983 – 1019. [8] Budd, C. J., Piggott, M.D., The geometric integration of scale-invariant ordinary and partial differential equations, J. of Comput. and Appl. Mathematics, 128 (2001) 399 – 422. [9] Schek, I., Jortner, I., Sage, M.L., Application of the Magnus expansion for higher-order multiphoton excitation, Chem. Phys., 59 (1981) 11 – 27. [10] Botchev, M.A., Verwer, J.G.., Numerical integration of damped Maxwell equations, Technical Report CWI Amsterdam (2008). [11] Viswanath, D., Symbolic dynamics and periodic orbits of the Lorenz attractor, Nonlinearity, 16 (2003) 1035 – 1056. [12] Moan, P.C., Niesen, J., Convegence of the Magnus series, Found. Comput. Math., 8 (20089 291 – 301. [13] [13] Moler, C. B., Van Loan, C. F., Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later, SIAM Review, 45 (2003), 3 – 49. [14] Celledoni, E., Iserles, A., Approximating the exponential from a Lie algebra to a Lie group, Math. Comput., 69 (2000) 1457 – 1480. [15] Iserles, A., On Cayley-transform methods for the discretization of Lie-group equations, Found. Comput. Math., 1 (2000) 129 – 160. [16] Haughton D.M., Circular shearing of compressible elastic cylinders, Q. Jl. Mech. Appl. Math., 46 (1993) 471 – 486. [17] Fosdick R., Foti P., Fraddosio A., Marzano S., Shear driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids, ZAMP, 61 (2010) 537 – 554. [18] Fosdick R., Foti P., Fraddosio A., Marzano S., Piccioni, M. D., Taylor-like bifurcations for a compressible isotropic elastic tube, Mathematics and Mechanics of Solids (MMS), published on line (2013) ISSN: 1081-2865, DOI: 10.1177/1081286513496576. [19] Fosdick, R., Foti, P., Fraddosio, A., Piccioni, M.D., Lower bound estimate of critical loads for isotropic elastic solids, Cont. Mech. and Thermodynamics (CMT), 22 (2010) 77 – 97. [20] Fosdick R., Foti P., Fraddosio A., Marzano S., Piccioni, M. D., A Lower Bound Estimate of the critical load in Bifurcation Analysis for Incompressible Elastic Solids, Mathematics and Mechanics of Solids (MMS), invited contribution on the special number in honor of K.R. Rajagopal, (2014). [21] Pease III, M.C.. Methods of Matrix Algebra, Academic Press, New York and London, (1965).