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We present a new compact expansion of a random flow field into stochastic spatial modes, hence extending the proper orthogonal decomposition (POD) to noisy (noncoherent) flows. As a prototype… (More)

- Daniele Venturi
- 2004

We investigate the possibility of using proper orthogonal decomposition (POD) in reconstructing complete flow fields from gappy data. The incomplete fields are created from DNS snapshots of flow past… (More)

[1] Sensor placement at the extrema of empirical orthogonal functions (EOFs) is efficient and leads to accurate reconstruction of the ocean state from a limited number of measurements. In this paper,… (More)

- Paris Perdikaris, Daniele Venturi, George E. Karniadakis
- SIAM J. Scientific Computing
- 2016

We develop a framework for multifidelity information fusion and predictive inference in high-dimensional input spaces and in the presence of massive data sets. Hence, we tackle simultaneously the… (More)

- Daniele Venturi
- 2010

We present a general approach for nonlinear biorthogonal decomposition of random fields. The mathematical theory is developed based on a fully symmetric operator framework that unifies different… (More)

- Daniele Venturi, George E. Karniadakis
- J. Comput. Physics
- 2012

By using functional integral methods we determine new types of differential equations satisfied by the joint response excitation probability density function associated with the stochastic solution… (More)

- Daniele Venturi, Daniel M. Tartakovsky, Alexandre M. Tartakovsky, George E. Karniadakis
- J. Comput. Physics
- 2013

Mathematical models of advection–reaction phenomena rely on advective flow velocity and (bio) chemical reaction rates that are notoriously random. By using functional integral methods, we derive… (More)

- H. Cho, Daniele Venturi, George E. Karniadakis
- J. Comput. Physics
- 2016

Article history: Received 17 October 2014 Received in revised form 20 October 2015 Accepted 22 October 2015 Available online 10 November 2015

We introduce a new security notion for public-key encryption (PKE) that we dub non-malleability under (chosen-ciphertext) self-destruct attacks (NM-SDA), which appears to be the strongest natural PKE… (More)

- H. Cho, Daniele Venturi, George E. Karniadakis
- SIAM J. Scientific Computing
- 2013

Evolution equations of the joint response-excitation probability density function (REPDF) generalize the existing PDF evolution equations and enable us to compute the PDF of the solution of… (More)