D. Venturi

发表

Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets

Daniele Venturi, Paris Perdikaris, George E. Karniadakis, 2016, SIAM J. Sci. Comput..

Statistical analysis and simulation of random shocks in stochastic Burgers equation

Heyrim Cho, Daniele Venturi, George Em Karniadakis, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Parallel Numerical Tensor Methods for High-Dimensional PDEs

D. Tartakovsky, D. Venturi, A. Boelens, 2018 .

A fully symmetric nonlinear biorthogonal decomposition theory for random fields

D. Venturi, 2011 .

A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems

G. Karniadakis, T. Sapsis, D. Venturi, 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

The Numerical Approximation of Nonlinear Functionals and Functional Differential Equations

D. Venturi, 2016, 1604.05250.

Mori-Zwanzig Approach to Uncertainty Quantification

G. Karniadakis, D. Venturi, Heyrim Cho, 2015 .

Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2008, Journal of Fluid Mechanics.

Supercritical quasi-conduction states in stochastic Rayleigh–Bénard convection

Daniele Venturi, George Em Karniadakis, G. Karniadakis, 2012 .

Density Propagation with Characteristics-based Deep Learning

W. Kang, Q. Gong, D. Venturi, 2019, 1911.09311.

Stochastic natural convection in square enclosures with horizontal isothermal walls

D. Venturi, S. Salvigni, 2007 .

Conjugate flow action functionals

D. Venturi, 2011, 1110.2968.

Hypoellipticity and the Mori–Zwanzig formulation of stochastic differential equations

D. Venturi, Yuanran Zhu, 2020, Journal of Mathematical Physics.

Karhunen-Loève expansion for multi-correlated stochastic processes

Heyrim Cho, Daniele Venturi, George Em Karniadakis, 2013 .

Algorithms for Propagating Uncertainty Across Heterogeneous Domains | SIAM Journal on Scientific Computing | Vol. 37, No. 6 | Society for Industrial and Applied Mathematics

G. Karniadakis, D. Venturi, H. Cho, 2015 .

THE STOCHASTIC MODELING OF A RANDOM LAMINAR WAKE PAST A CIRCULAR CYLINDER

D. Venturi, S. Salvigni, 2013 .

Implicit step-truncation integration of nonlinear PDEs on low-rank tensor manifolds

D. Venturi, Abram Rodgers, 2022, ArXiv.

The Mori-Zwanzig formulation of deep learning

Xiantao Li, D. Venturi, 2022, 2209.05544.

Tensor rank reduction via coordinate flows

D. Venturi, Alec Dektor, 2022, ArXiv.

Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations

Daniele Venturi, George E. Karniadakis, Heyrim Cho, 2013, SIAM J. Sci. Comput..

Conjugate flow action functionals

D. Venturi, 2011, 1110.2968.

Multi-fidelity Gaussian process regression for prediction of random fields

Daniele Venturi, Paris Perdikaris, George E. Karniadakis, 2017, J. Comput. Phys..

Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields

P Perdikaris, D Venturi, J O Royset, 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Parallel tensor methods for high-dimensional linear PDEs

Daniel M. Tartakovsky, Daniele Venturi, Arnout M. P. Boelens, 2018, J. Comput. Phys..

Data-driven closures for stochastic dynamical systems

Daniele Venturi, Catherine Brennan, D. Venturi, 2018, J. Comput. Phys..

DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION

Daniele Venturi, George Em Karniadakis, G. Karniadakis, 2012 .

Exact PDF equations and closure approximations for advective-reactive transport

Daniel M. Tartakovsky, Daniele Venturi, Alexandre M. Tartakovsky, 2013, J. Comput. Phys..

Elsevier Editorial System(tm) for Journal of Computational Physics Manuscript Draft Title: New Evolution Equations for the Joint Response-excitation Probability Density Function of Stochastic Solutions to First-order Nonlinear Pdes New Evolution Equations for the Joint Response-excitation Probabilit

Daniele Venturi, George E. Karniadakis, G. Karniadakis, 2022 .

Spectral methods for nonlinear functionals and functional differential equations pdf

Daniele Venturi, Alec Dektor, D. Venturi, 2020, Research in the Mathematical Sciences.

EOF‐based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound

George Em Karniadakis, Xiu Yang, Daniele Venturi, 2010 .

On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate

Daniele Venturi, D. Venturi, 2006, Journal of Fluid Mechanics.

stochastic dynamical systems response-excitation probability density function of A computable evolution equation for the joint

G. Karniadakis, T. Sapsis, D. Venturi, 2011 .

Stochastic bifurcation analysis of Rayleigh–Bénard convection

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2010, Journal of Fluid Mechanics.

The Numerical Approximation of Functional Differential Equations

Daniele Venturi, D. Venturi, 2016 .

Gappy data and reconstruction procedures for flow past a cylinder

Daniele Venturi, George Em Karniadakis, G. Karniadakis, 2004, Journal of Fluid Mechanics.

Numerical Methods for High-Dimensional Kinetic Equations

Heyrim Cho, Daniele Venturi, George Em Karniadakis, 2017 .

Numerical methods for high-dimensional probability density function equations

Daniele Venturi, George E. Karniadakis, Heyrim Cho, 2016, J. Comput. Phys..

Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs pdf

Daniele Venturi, Alec Dektor, Abram Rodgers, 2020, Journal of Scientific Computing.

Generalized Langevin Equations for Systems with Local Interactions

Daniele Venturi, Yuanran Zhu, D. Venturi, 2019, Journal of Statistical Physics.

On the estimation of the Mori-Zwanzig memory integral

Daniele Venturi, Yuanran Zhu, D. Venturi, 2017, Journal of Mathematical Physics.

Rigorous error estimates for the memory integral in the Mori-Zwanzig formulation

Daniele Venturi, Yuanran Zhu, Jason Dominy, 2017 .

Goal-Oriented Probability Density Function Methods for Uncertainty Quantification

D. Venturi, 2015 .

Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems

D Venturi, G E Karniadakis, G. Karniadakis, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A new scalable algorithm for computational optimal control under uncertainty

Qi Gong, Daniele Venturi, Panos Lambrianides, 2019, J. Comput. Phys..

Algorithms for Propagating Uncertainty Across Heterogeneous Domains

Daniele Venturi, Xiu Yang, George E. Karniadakis, 2015, SIAM J. Sci. Comput..

Tensor methods for the Boltzmann-BGK equation

Arnout M. P. Boelens, D. Tartakovsky, D. Venturi, 2019, J. Comput. Phys..

Implicit Integration of Nonlinear Evolution Equations on Tensor Manifolds

D. Venturi, Abram Rodgers, 2022, Journal of Scientific Computing.

Step-truncation integrators for evolution equations on low-rank tensor manifolds pdf

Daniele Venturi, Abram Rodgers, D. Venturi, 2020, ArXiv.

Dynamic tensor approximation of high-dimensional nonlinear PDEs pdf

Daniele Venturi, Alec Dektor, D. Venturi, 2020, J. Comput. Phys..

Stability analysis of hierarchical tensor methods for time-dependent PDEs pdf

Daniele Venturi, Abram Rodgers, D. Venturi, 2019, J. Comput. Phys..

Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs

Daniele Venturi, Alec Dektor, D. Venturi, 2019, J. Comput. Phys..

Tensor rank reduction via coordinate flows

D. Venturi, Alec Dektor, 2022, J. Comput. Phys..

Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds

D. Venturi, Abram Rodgers, Alec Dektor, 2020, Journal of Scientific Computing.

Dynamically orthogonal ( DO ) tensor methods for stochastic PDEs

D. Venturi, 2022 .

Abstract Submitted for the DFD15 Meeting of The American Physical Society A new paradigm for variable-fidelity stochastic simulation and in- formation fusion in fluid mechanics1

D. Venturi, 2015 .

Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs

Daniele Venturi, Alec Dektor, Abram Rodgers, 2020, Journal of Scientific Computing.

The Mori–Zwanzig formulation of deep learning

Xiantao Li, D. Venturi, 2022, Research in the Mathematical Sciences.

Finite-difference methods for the advection equation

D. Venturi, 2022 .

Duality and Conditional Expectations in the Nakajima-Mori-Zwanzig Formulation

Daniele Venturi, D. Venturi, Jason M. Dominy, 2016, 1610.01696.

0 . 29 68 v 2 [ m at hph ] 2 A pr 2 01 2 Conjugate flow action functionals

D. Venturi, 2012 .

DIRECT NUMERICAL SIMULATION OF NATURAL CONVECTION OVER HORIZONTAL PLATES

D. Venturi, B. Pulvirenti, S. Salvigni, 2022 .

and simulations stochastic partial differential equations: analysis Malliavin approximation to nonlinear - Wick

Daniele Venturi, George Em Karniadakis, Xiaoliang Wan, 2013 .

Coordinate-adaptive integration of PDEs on tensor manifolds

D. Venturi, Alec Dektor, 2023, ArXiv.

New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs

G. Karniadakis, D. Venturi, 2012, J. Comput. Phys..

Faber approximation of the Mori-Zwanzig equation

Daniele Venturi, Yuanran Zhu, D. Venturi, 2017, J. Comput. Phys..