
Oscar Gonzalez
Professor, Affiliated Faculty, Oden Institute
Department of Mathematics, Oden InstituteComputational and Applied Mathematics

Ph.D., Stanford University (1996).
Area: computational and applied mathematics.
Interests: modeling, numerical analysis, differential equations, integral equations, geometry of curves and surfaces.

Main projects:
Nystromtype numerical methods for boundary integral equations.
Hydrodynamic transport and diffusion of rigid and flexible particles.
Sequencedependent models for DNA structure prediction.
Global curvature and optimal packing of curves with finite thickness.
Structurepreserving numerical methods in classical and continuum mechanics.

Books
O. Gonzalez, Topics in applied mathematics and modeling: concise theory with case studies, Course reader for M 374M, The University of Texas at Austin, (2021). Submitted for publication. 225 pages, 230+ exercises, 170+ illustrations.
O. Gonzalez & A. Stuart, A First Course in Continuum Mechanics, Cambridge Texts in Applied Mathematics, Cambridge University Press (2008). ISBN 9780521886802 hardback, ISBN 9780521714242 paperback. 416 pages, 170+ exercises.
O. Gonzalez & A. Stuart, A First Course in Continuum Mechanics: Complete Solutions Manual, Cambridge University Press (2008). 119 pages.
Articles
O. Gonzalez, Theorems on the stokesian hydrodynamics of a rigid filament in the limit of vanishing radius, SIAM Journal on Applied Mathematics, 81 (2021) 551573. Supplementary material: PDF file. [This article was originally submitted Aug 2019, then shortened by request and resubmitted Oct 2019, then accepted Jan 2021, and published electronically Apr 2021.]
A. Mauney, J. Tokuda, L. Gloss, O. Gonzalez & L. Pollack, Local DNA sequence controls the cooperativity and asymmetry of DNA unwrapping from nucleosome core particles, Biophysical Journal, 115 (2018) 773781. [This work was recognized in a dedicated commentary article.]
O. Gonzalez, Bounds on the average velocity of a rigid body in a Stokes fluid, SIAM Journal on Applied Mathematics, 77 (2017) 19041920.
O. Gonzalez, M. Pasi, D. Petkeviciute, J. Glowacki & J.H. Maddocks, Absolute versus relative entropy parameter estimation in a coarsegrain model of DNA, SIAM Multiscale Modeling and Simulation, 15 (2017) 10731107. Supplementary website: http://lcvmwww.epfl.ch/cgDNA. cgDNAweb (a webbased viewer for the cgDNA model): http://cgdnaweb.epfl.ch.
O. Gonzalez, A theorem on the surface traction field in potential representations of Stokes flow, SIAM Journal on Applied Mathematics, 75 (2015) 15781598.
O. Gonzalez & J. Li, A convergence theorem for a class of Nystrom methods for weakly singular integral equations on surfaces in R^3, Mathematics of Computation, 84 (2015) 675714.
D. Petkeviciute, M. Pasi, O. Gonzalez & J.H. Maddocks, cgDNA: a software package for the prediction of sequencedependent coarsegrain free energies of Bform DNA, Nucleic Acids Research, 42 (2014) e153: 19. Supplementary material: PDF file. Supplementary website: http://lcvmwww.epfl.ch/cgDNA. cgDNAweb (a webbased viewer for the cgDNA model): http://cgdnaweb.epfl.ch.
J. Li & O. Gonzalez, Convergence and conditioning of a Nystrom method for Stokes flow in exterior threedimensional domains, Advances in Computational Mathematics, 39 (2013) 143174.
O. Gonzalez, D. Petkeviciute & J.H. Maddocks, A sequencedependent rigidbase model of DNA, Journal of Chemical Physics, 138 (2013) 055102: 128. Supplementary material: PDF file. Supplementary website: http://lcvmwww.epfl.ch/cgDNA. cgDNAweb (a webbased viewer for the cgDNA model): http://cgdnaweb.epfl.ch. [This article was selected for the 2013 JCP Editors' Choice Collection.]
O. Gonzalez & J. Li, On the hydrodynamic diffusion of rigid particles of arbitrary shape with application to DNA, SIAM Journal on Applied Mathematics, 70 (2010) 26272651.
J. Walter, O. Gonzalez & J.H. Maddocks, On the stochastic modeling of rigid body systems with application to polymer dynamics, SIAM Multiscale Modeling and Simulation, 8 (2010) 10181053.
F. Lankas, O. Gonzalez, L.M. Heffler, G. Stoll, M. Moakher & J.H. Maddocks, On the parameterization of rigid base and basepair models of DNA from molecular dynamics simulations, Physical Chemistry Chemical Physics, 11 (2009) 1056510588.
O. Gonzalez, On stable, complete and singularityfree boundary integral formulations of exterior Stokes flow, SIAM Journal on Applied Mathematics 69 (2009) 933958.
O. Gonzalez & J. Li, Modeling the sequencedependent diffusion coefficients of short DNA sequences, Journal of Chemical Physics 129 (2008) 165105: 112.
O. Gonzalez, A.B.A. Graf & J.H. Maddocks, Dynamics of a rigid body in a Stokes fluid, Journal of Fluid Mechanics 519 (2004) 133160.
O. Gonzalez & R. de la Llave, Existence of ideal knots, Journal of Knot Theory and Its Ramifications 12 (2003) 123133.
J.R. Banavar, O. Gonzalez, J.H. Maddocks & A. Maritan, Selfinteractions of strands and sheets, Journal of Statistical Physics 110 (2003) 3550.
O. Gonzalez, J.H. Maddocks & J. Smutny, Curves, circles and spheres, Contemporary Mathematics 304 (2002) 195215.
O. Gonzalez, J.H. Maddocks, F. Schuricht & H. von der Mosel, Global curvature and selfcontact of nonlinearly elastic curves and rods, Calculus of Variations and Partial Differential Equations 14 (2002) 2968.
O. Gonzalez & J.H. Maddocks, Extracting parameters for basepair level models of DNA from molecular dynamics simulations, Theoretical Chemistry Accounts 106 (2001) 7682.
O. Gonzalez, J.H. Maddocks & R.L. Pego, Multimultiplier ambient space formulations of constrained dynamical systems, with an application to elastodynamics, Archive for Rational Mechanics and Analysis 157 (2001) 285323.
O. Gonzalez, Exact energymomentum conserving algorithms for general models in nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering 190 (2000) 17631783.
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) 47694773.
O. Gonzalez, Mechanical systems subject to holonomic constraints: differentialalgebraic formulations and conservative integration, Physica D 132 (1999) 165174.
O. Gonzalez, D.J. Higham & A.M. Stuart, Qualitative properties of modified equations, IMA Journal of Numerical Analysis 19 (1999) 169190.
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) 169179.
O. Gonzalez, Time integration and discrete hamiltonian systems, Journal of Nonlinear Science 6 (1996) 449467.
O. Gonzalez & J.C. Simo, On the stability of symplectic and energymomentum algorithms for nonlinear hamiltonian systems with symmetry, Computer Methods in Applied Mechanics and Engineering 134 (1996) 197222.
J.C. Simo & O. Gonzalez, Recent results on the numerical integration of infinitedimensional 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) 255271.
J.C. Simo & O. Gonzalez, Assessment of energymomentum and symplectic schemes for stiff dynamical systems, American Society of Mechanical Engineers, proceedings of the ASME Winter Annual Meeting, New Orleans, Louisiana (1993) 112.

NSF Grant DMS0706951, (PI, $166,898) 20102007.
NSF Grant DMS0405955, (PI, $141,999) 20072004.
University Summer Research Award, (PI, $15,778) 2004.
NSF Grant DMS0322962, (CoPI, $111,553) 20042003.
College of Natural Sciences Teaching Excellence Award, 2003.
NSF Grant DMS0102476, (PI, $102,000) 20042001.
NSF Mathematical Sciences Postdoctoral Fellowship, 20001997.
NSF Graduate Fellowship, Stanford University, 19951992.
Stanford Graduate Fellowship, Stanford University, 1991.