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Books O. Gonzalez & A. Stuart, A First Course in Continuum Mechanics, Cambridge Texts in Applied Mathematics, Cambridge University Press (2008). ISBN 978-0-521-88680-2 hardback, ISBN 978-0-521-71424-2 paperback, www.cambridge.org/9780521714242 (Complete solutions manual available to instructors) Articles Convergence of the Nystrom method for weakly singular integral equations, (with J. Li), in preparation. J. Walter, O. Gonzalez & J.H. Maddocks, On the stochastic modeling of rigid body systems with application to polymer dynamics, submitted. O. Gonzalez & J. Li, On the hydrodynamic diffusion of rigid particles of arbitrary shape with application to DNA, submitted. F. Lankas, O. Gonzalez, L.M. Heffler, G. Stoll, M. Moakher and J.H. Maddocks, On the parameterization of rigid base and basepair models of DNA from molecular dynamics simulations, Physical Chemistry Chemical Physics, 11 (2009) 10565-10588. DOI:10.1039/b919565n. O. Gonzalez & J. Li, On the Nystrom approximation of a new boundary integral formulation of exterior Stokes flow, preprint. O. Gonzalez, On stable, complete and singularity-free boundary integral formulations of exterior Stokes flow, SIAM Journal of Applied Mathematics 69 (2009) 933-958. O. Gonzalez & J. Li, Modeling the sequence-dependent diffusion coefficients of short DNA sequences, Journal of Chemical Physics 129 (2008) 165105. O. Gonzalez & J. Li, An analysis of the regularized stokeslet method, preprint. O. Gonzalez, A.B.A. Graf & J.H. Maddocks, Dynamics of a rigid body in a Stokes fluid, Journal of Fluid Mechanics 519 (2004) 133-160. O. Gonzalez & R. de la Llave, Existence of ideal knots, Journal of Knot Theory and Its Ramifications 12 (2003) 123-133. J.R. Banavar, O. Gonzalez, J.H. Maddocks & A. Maritan, Self-interactions of strands and sheets, Journal of Statistical Physics 110 (2003) 35-50. O. Gonzalez, J.H. Maddocks & J. Smutny, Curves, circles and spheres, Contemporary Mathematics 304 (2002) 195-215. O. Gonzalez, J.H. Maddocks, F. Schuricht & H. von der Mosel, Global curvature and self-contact of nonlinearly elastic curves and rods, Calculus of Variations and Partial Differential Equations 14 (2002) 29-68. O. Gonzalez & J.H. Maddocks, Extracting parameters for base-pair level models of DNA from molecular dynamics simulations, Theoretical Chemistry Accounts 106 (2001) 76-82. O. Gonzalez, J.H. Maddocks & R.L. Pego, Multi-multiplier ambient space formulations of constrained dynamical systems, with an application to elastodynamics, Archive for Rational Mechanics and Analysis 157 (2001) 285-323. O. Gonzalez, Exact energy-momentum conserving algorithms for general models in nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering 190 (2000) 1763-1783. O. Gonzalez & J.H. Maddocks, Global curvature, thickness and the ideal shapes of knots, The Proceedings of the National Academy of Sciences, USA 96 (1999) 4769-4773. O. Gonzalez, Mechanical systems subject to holonomic constraints: differential-algebraic formulations and conservative integration, Physica D 132 (1999) 165-174. O. Gonzalez, D.J. Higham & A.M. Stuart, Qualitative properties of modified equations, IMA Journal of Numerical Analysis 19 (1999) 169-190. A. Stasiak, J. Dubochet, P. Furrer, O. Gonzalez & J. Maddocks, DNA: uncooked, al dente, or scotti?, Science 283 (1999) 1641. O. Gonzalez & A.M. Stuart, On the qualitative properties of modified equations, in Foundations of Computational Mathematics, edited by F. Cucker & M. Shub, Springer Verlag, Berlin (1997) 169-179. O. Gonzalez, Time integration and discrete hamiltonian systems, Journal of Nonlinear Science 6 (1996) 449-467. O. Gonzalez & J.C. Simo, On the stability of symplectic and energy-momentum algorithms for nonlinear hamiltonian systems with symmetry, Computer Methods in Applied Mechanics and Engineering 134 (1996) 197-222. J.C. Simo & O. Gonzalez, Recent results on the numerical integration of infinite-dimensional hamiltonian systems, in Recent Developments in Finite Element Analysis, edited by T.J.R. Hughes, E. Onate, and O.C. Zienkiewicz, International Center for Numerical Methods in Engineering, Barcelona, Spain (1994) 255-271. J.C. Simo & O. Gonzalez, Assessment of energy-momentum and symplectic schemes for stiff dynamical systems, American Society of Mechanical Engineers, proceedings of the ASME Winter Annual Meeting, New Orleans, Louisiana (1993) 1-12. |