Publications

Journal Papers Under Review

  1. D. Venturi, ``The numerical approximation of functional differential equations'', Physics Reports, 2016, Under Review (ArXiv preprint PDF)
  2. J. Dominy and D. Venturi, ``Duality and conditional expectations in the Nakajima-Mori-Zwanzig formulation'', J. Math Phys., 2016, Under Review (ArXiv preprint PDF)

Journal Publications (Google Scholar)

  1. L. Parussini, D. Venturi, P. Perdikaris and G. E. Karniadakis, ``Multi-fidelity Gaussian process regression for prediction of random fields'', J. Comput. Phys., 2017, 336, pp. 35-50 . (PDF)
  2. P. Perdikaris, D. Venturi, and G. E. Karniadakis, ``Multi-fidelity information fusion algorithms for high dimensional systems and massive data-sets'', SIAM J. Sci. Comput., 2016, 38(4), B521–B538. (PDF)
  3. D. Venturi, H. Cho and G. E. Karniadakis, ``Mori-Zwanzig approach to uncertainty quantification'', Springer Handbook on Uncertainty Quantification, 2016, pp.1-36 (PDF)
  4. H. Cho, X. Yang, D. Venturi and G. E. Karniadakis, ``Numerical methods for propagating uncertainty across heterogeneous domains'', SIAM J. Sci. Comput., 2015, 37(6), A3030–A3054. (PDF)
  5. H. Cho, D. Venturi and G. E. Karniadakis, ``Numerical methods for high-dimensional probability density function equations'', J. Comput. Phys., 2016, 315, pp. 817-837. (PDF)
  6. P. Perdikaris, D. Venturi, J. Royset and G. E. Karniadakis, ``Multi-fidelity modeling via recursive co-kriging and Gaussian Markov random fields'', Proc. R. Soc. A, 2015, 471 (2179), pp. 1-22. (PDF)
  7. 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 (2171), pp. 1-21. (PDF)
  8. D. Venturi and G. E. Karniadakis, ``Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems'', Proc. R. Soc. A, 2014, 470 (2166), pp. 1-20. (PDF)
  9. D. Venturi and G. E. Karniadakis, ``Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems'', Proc. R. Soc. A, 2014, , 470 (2166) Data Supplement, pp. 1-13. (PDF)
  10. D. Venturi, ``Conjugate flow action functionals'', J. Math. Phys., 2013, 54, pp. 113502(1-19). (PDF)
  11. 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)
  12. 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  (2158), pp. 1-20. (PDF)
  13. 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)
  14. D. Venturi, D. M. Tartakovsky, A. M. Tartakovsky and G. E. Karniadakis, ``Exact PDF equations and closure approximations for advective-reactive transport'', J. Comput. Phys., 2013, 243, pp. 323-343. (PDF)
  15. D. Venturi and G. E. Karniadakis, ``New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs'', J. Comput. Phys., 2012, 231, pp. 7450-7474. (PDF)
  16. D. Venturi, M. Choi and G. E. Karniadakis, ``Supercritical quasi-conduction states in stochastic Rayleigh-Bénard convection'', Int. J. Heat and Mass Transf., 2012, 55, pp. 3732-3743. (PDF)
  17. 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)
  18. D. Venturi and G. E. Karniadakis, ``Differential constraints for the probability density function of stochastic solutions to the wave equation'', Int. J. for UQ, 2011, 2, pp. 131-150. (PDF)
  19. X. Yang, D. Venturi, C. Chen, C. Chryssostomidis and G. E. Karniadakis ``EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound'', Journal of Geophysical Research - Oceans, 2010, 115, C12072, pp. 1-16. (PDF)
  20. D. Venturi, ``A fully symmetric nonlinear biorthogonal decomposition theory for random fields'', Physica D, 2010, 240, pp. 415-425. (PDF)
  21. D. Venturi, X. Wan and G. E. Karniadakis, ``Stochastic bifurcation analysis of Rayleigh-Bénard convection'', J. Fluid Mech., 2010, 650, pp. 391-413. (PDF)
  22. D. Venturi, ``Convective derivatives and Reynolds transport in curvilinear time-dependent coordinate systems'', J. Phys. A: Math. Gen., 2009, 42, 125203(1-16). (PDF)

  23. D. Venturi, X. Wan and G. E. Karniadakis, ``Stochastic low-dimensional modeling of random laminar wake past a circular cylinder'', J. Fluid Mech., 2008, 606, pp. 339-367. (PDF)

  24. 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)
  25. D. Venturi and G.E. Karniadakis, ``Gappy data and reconstruction procedures for flow past a cylinder'', J. Fluid Mech., 2004, 519, pp. 315-336. (PDF)

 

Preprints and Journal Papers in Preparation

  1. Y. Zhu, J. Dominy and D. Venturi, ``Rigorous error estimates of the memory term in the Mori-Zwanzig equation'', 2016, preprint.
  2. D. Venturi and J. Royset, ``Equation-driven probability density function estimators for high-dimensional stochastic dynamical systems'', in preparation.
  3. H Cho, D. Venturi and G. E. Karniadakis, ``Numerical methods for high-dimensional kinetic equations'', 2016, in preparation.

Refereed Conference Proceedings

  1. D. Venturi, B. Pulvirenti, A. Lazari, M. Zucchini and S. Salvigni, ``Applicazione della tecnologia del vuoto a processi di deumidificazione e raffreddamento industriale'' (``An application of vacuum processes to dehydration and cooling''), Atti del XXV congresso nazionale dell'Unione Italiana di Termofluidodinamica (UIT), Trieste (Italy), June 18-20, 2007, pp. 393-398. (PDF)
  2. D. Venturi and S. Salvigni, ``Stochastic natural convection in square enclosures with horizontal isothermal walls'', Atti del XXV congresso nazionale dell'Unione Italiana di Termofluidodinamica(UIT), Trieste (Italy) June 18-20, 2007, pp. 277-282. (PDF)
  3. D. Venturi and S. Salvigni, ``The stochastic modeling of a random laminar wake past a circular cylinder'',Atti del XXV congresso nazionale dell'Unione Italiana di Termofluidodinamica (UIT), Trieste (Italy), June 18-20, 2007, pp. 599-604. (PDF)
  4. B. Pulvirenti, D. Venturi, M. Lorenzini, G. L. Morini and S. Salvigni, ``Turbulent flow past two tandem cylinders: experimental and numerical study'', Atti del XXIV congresso nazionale dell'Unione Italiana di Termofluidodinamica (UIT), Napoli (Italy), June 21-23, 2006, pp. 247-252.
  5. D. Venturi, B. Pulvirenti and S. Salvigni, ``Direct numerical simulation of natural convection over horizontal plates'', Atti del XXIII congresso nazionale dell'Unione Italiana di Termofluidodinamica (UIT)}, Parma (Italy), June 20-22, 2005, pp. 365-370. (PDF)
  6. B. Pulvirenti, D. Venturi, P. Proli and S. Salvigni, ``Ricostruzione di dati mancanti in misure PIV di un flusso intorno ad un cilindro'' (``Data reconstruction in PIV measurements of flow past cylinder''), Atti del XXII congresso nazionale dell'Unione Italiana di Termofluidodinamica (UIT), Genova (Italy), June 21-23, 2004, pp. 151-156.

Books

  1. D. Venturi, ``Lecture notes on fluid dynamics, thermodynamics and heat transfer'', pp. 1-241 (in Italian), University of Bologna, 2008. (PDF)