Graduate Experience

Department/College/UnitBaskin School of Engineering

TitleProfessor

AffiliationFaculty

Other UCSC Campus AffiliationMathematics Department

Web SitePersonal

Primary Office LocationJack Baskin Engineering Building
BE 361C

Additional Location(s)Baskin Engineering, Room 353B

Mail StopSOE2

Research Interests

• Uncertainty Quantification (UQ) and computational probability
• Multi-fidelity stochastic modeling and data-driven stochastic multiscale mathematics
• Numerical analysis and high-performance scientific computing
• Probability density function methods for forward and inverse UQ problems
• Mori-Zwanzig approach to dimension reduction and uncertainty quantification
• Functional differential equations

Selected Publications

P. Perdikaris, D. Venturi, J. O. Royset, G. E. Karniadakis, ``Multi-fidelity modeling via recursive co-kriging and Gaussian Markov random fields'', Proc. R. Soc. A, 2015, 471, pp. 2179(1-20) PDF

D. Venturi and G. E. Karniadakis, ``Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems'', Proc. R. Soc. A, 2014, 470, pp. 2166(1-20) PDF

H. Cho, D. Venturi and G. E. Karniadakis, ``Statistical analysis and simulation of random shocks in stochastic Burgers equation'', Proc. R. Soc. A, 2014, 470, pp. 2171(1-21) PDF

D. Venturi, ``Conjugate flow action functionals'', J. Math. Phys., 2013, 54, pp. 113502(1-19) PDF

H. Cho, D. Venturi and G. E. Karniadakis, ``Karhunen-Loève expansion for multiple correlated stochastic processes'', Prob. Eng. Mech., 2013, 34, pp. 157-167 PDF

D. Venturi, X. Wan, R. Mikulevicius, B. L. Rozovskii and G. E. Karniadakis, ``Wick-Malliavin approximation to nonlinear stochastic PDEs: Analysis and Simulation'', Proc. R. Soc. A, 2013, 469, pp. 2158(1-20) PDF

H. Cho, D. Venturi and G. E. Karniadakis, ``Adaptive discontinuous Galerkin method for response-excitation PDF equations'', SIAM J. Sci. Comput., 2013, 35(4), pp. B890-B911 PDF

D. Venturi, T. P. Sapsis, H. Cho and G. E. Karniadakis, ``A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems'', Proc. R. Soc. A, 2011, 468, pp. 759-783 PDF

D. Venturi, ``On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate'', J. Fluid Mech., 2006, 559, pp. 215-254 PDF

D. Venturi, X. Wan and G. E. Karniadakis, ``Stochastic bifurcation analysis of Rayleigh-Bénard convection'', J. Fluid Mech., 2010, 650, pp. 391-413 PDF