Tim Sullivan

Junior Professor in Applied Mathematics with Specialism in Risk and Uncertainty Quantification

Publications

  1. T. J. Sullivan. Introduction to Uncertainty Quantification, volume 63 of Texts in Applied Mathematics. Springer, 2015. ISBN 978-3-319-23394-9 (hardcover) 978-3-319-23395-6 (e-book) doi:10.1007/978-3-319-23395-6
  2. H. Owhadi, C. Scovel & T. J. Sullivan. “On the Brittleness of Bayesian Inference” SIAM Review 57(4):566–582, 2015. doi:10.1137/130938633
  3. H. Owhadi, C. Scovel & T. J. Sullivan. “Brittleness of Bayesian inference under finite information in a continuous world” Electronic Journal of Statistics 9:1–79, 2015. doi:10.1214/15-EJS989
  4. T. J. Sullivan. “Optimal Uncertainty Quantification for Hypervelocity Impact” in Uncertainty Quantification in Computational Fluid Dynamics, 15–19 September 2014, von Karman Institute for Fluid Dynamics, Belgium, and 2–3 June 2014, Stanford University, United States. STO-AVT-VKI Lecture Series, AVT-235, 2014.
  5. P.-H. T. Kamga, B. Li, M. McKerns, L. H. Nguyen, M. Ortiz, H. Owhadi & T. J. Sullivan “Optimal uncertainty quantification with model uncertainty and legacy data” Journal of the Mechanics and Physics of Solids 72:1–19, 2014. doi:10.1016/j.jmps.2014.07.007
  6. T. J. Sullivan, M. McKerns M. Ortiz, H. Owhadi, & C. Scovel. “Optimal uncertainty quantification: Distributional robustness versus Bayesian brittleness” ASME Journal of Medical Devices 7(4):040920, 2013. doi:10.1115/1.4025786
  7. T. J. Sullivan, M. McKerns, D. Meyer, F. Theil, H. Owhadi & M. Ortiz. “Optimal uncertainty quantification for legacy data observations of Lipschitz functions” ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) 47(6):1657–1689, 2013. doi:10.1051/m2an/2013083
  8. H. Owhadi, C. Scovel, T. J. Sullivan, M. McKerns & M. Ortiz. “Optimal Uncertainty Quantification” SIAM Review 55(2):271–345, 2013. doi:10.1137/10080782X
  9. L. Rast, T. J. Sullivan & V. K. Tewary. “Stratified graphene/noble metal systems for low-loss plasmonics applications” Physical Review B 87(4):045428, 2013. doi:10.1103/PhysRevB.87.045428
  10. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “Thermalization of rate-independent processes by entropic regularization” Discrete and Continuous Dynamical Systems — Series S 6(1):215–233, 2013. doi:10.3934/dcdss.2013.6.215
  11. T. J. Sullivan & H. Owhadi. “Distances and diameters in concentration inequalities: From geometry to optimal assignment of sampling resources” International Journal for Uncertainty Quantification 2(1):21–38, 2012. doi:10.1615/Int.J.UncertaintyQuantification.v2.i1.30
  12. M. Ortiz, M. McKerns, H. Owhadi, T. J. Sullivan & C. Scovel. “Optimal Uncertainty Quantification” in Advanced Computational Engineering, 12–18 February 2012, ed. O. Allix, C. Carstensen, J. Schröder & P. Wriggers. Oberwolfach Reports 9(1), 2012. doi:10.4171/OWR/2012/09
  13. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “Thermalization of rate-independent processes by entropic regularization” in Interplay of Analysis and Probability in Physics, 22–28 January 2012, ed. W. König, P. Mörters, M. Peletier & J. Zimmer. Oberwolfach Reports 9(1), 2012. doi:10.4171/OWR/2012/06
  14. A. A. Kidane, A. Lashgari, B. Li, M. McKerns, M. Ortiz, H. Owhadi, G. Ravichandran, M. Stalzer & T. J. Sullivan. “Rigorous Model-Based Uncertainty Quantification with Application to Terminal Ballistics. Part I: Systems with Controllable Inputs and Small Scatter” Journal of the Mechanics and Physics of Solids 60(5):983–1001, 2012. doi:10.1016/j.jmps.2011.12.001
  15. M. Adams, A. Lashgari, B. Li, M. McKerns, J. M. Mihaly, M. Ortiz, H. Owhadi, A. J. Rosakis, M. Stalzer & T. J. Sullivan. “Rigorous Model-Based Uncertainty Quantification with Application to Terminal Ballistics. Part II: Systems with Uncontrollable Inputs and Large Scatter” Journal of the Mechanics and Physics of Solids 60(5):1002–1019, 2012. doi:10.1016/j.jmps.2011.12.002
  16. C. Scovel, H. Owhadi, T. J. Sullivan, M. McKerns & M. Ortiz. “What is UQ?” in ADTSC Science Highlights 2012, Los Alamos National Laboratory, LA-UR 12-20429:26–27, 2012
  17. M. M. McKerns, L. Strand, T. J. Sullivan, A. Fang & M. A. G. Aivazis. “Building a Framework for Predictive Science” in Proceedings of the 10th Python in Science Conference (SciPy 2011), June 2011, ed. S. van der Walt & J. Millman. 67–78, June 2011
  18. T. J. Sullivan, U. Topcu, M. McKerns & H. Owhadi. “Uncertainty quantification via codimension-one partitioning” International Journal for Numerical Methods in Engineering 85(12):1499–1521, 2011. doi:10.1002/nme.3030
  19. M. McKerns, H. Owhadi, C. Scovel, T. J. Sullivan & M. Ortiz. “The optimal uncertainty algorithm in the mystic framework” Caltech CACR Technical Report No. 523, August 2010.
  20. T. J. Sullivan & F. Theil. “On gradient descents in random wiggly energies” in Microstructures in Solids: From Quantum Models to Continua, 14–20 March 2010, ed. A. Mielke & M. Ortiz. Oberwolfach Reports 7(1):739–741, 2010. doi:10.4171/OWR/2010/14
  21. T. J. Sullivan, M. McKerns, U. Topcu & H. Owhadi. “Uncertainty quantification via codimension-one domain partitioning and a new concentration inequality” Procedia — Social and Behavioral Sciences 2(6):7751–7752, 2010. doi:10.1016/j.sbspro.2010.05.211
  22. F. Theil, T. J. Sullivan, M. Koslowski & M. Ortiz. “Dissipative systems in contact with a heat bath: Application to Andrade creep” in Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22–26, 2008, ed. K. Hackl. IUTAM Bookseries 21:261–272, 2010. doi:10.1007/978-90-481-9195-6_20
  23. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep” Journal of the Mechanics and Physics of Solids 57(7):1059–1077, 2009. doi:10.1016/j.jmps.2009.03.006
  24. T. J. Sullivan & F. Theil. “Deterministic stick-slip dynamics in a one-dimensional random potential” in Analysis and Numerics for Rate-Independent Processes, 25 February–3 March 2007, ed. G. Dal Maso, G. Francfort, A. Mielke & T. Roubíček. Oberwolfach Reports 4(1):652–655, 2007. doi:10.4171/OWR/2007/11