Habib N. Najm mostly deals with Polynomial chaos, Uncertainty quantification, Applied mathematics, Mathematical optimization and Analytical chemistry. The concepts of his Polynomial chaos study are interwoven with issues in Stochastic process, Polynomial, Solver and Bayesian inference. Habib N. Najm combines subjects such as Projection method, Mathematical analysis, Galerkin method, Sensitivity analysis and Propagation of uncertainty with his study of Uncertainty quantification.
His Applied mathematics research is multidisciplinary, relying on both Projection, Flow, Representation, Probabilistic logic and Discretization. Many of his studies on Mathematical optimization involve topics that are commonly interrelated, such as Random variable. Habib N. Najm has researched Analytical chemistry in several fields, including Thermocouple and Work, Thermodynamics.
The scientist’s investigation covers issues in Uncertainty quantification, Polynomial chaos, Mathematical optimization, Applied mathematics and Mechanics. His study focuses on the intersection of Uncertainty quantification and fields such as Probabilistic logic with connections in the field of Representation. His work deals with themes such as Stochastic process, Statistical physics, Galerkin method and Bayesian inference, which intersect with Polynomial chaos.
His Mathematical optimization research also works with subjects such as
Habib N. Najm mostly deals with Uncertainty quantification, Applied mathematics, Probabilistic logic, Statistical physics and Mathematical optimization. His Uncertainty quantification research incorporates elements of Helium and Surface. His work carried out in the field of Applied mathematics brings together such families of science as Tensor, Maxima and minima, Low-rank approximation, Rank and Polynomial chaos.
His Polynomial chaos research is included under the broader classification of Monte Carlo method. His Statistical physics study incorporates themes from Singular perturbation, Conditional random field, Anharmonicity, Propagation of uncertainty and Diagrammatic reasoning. His Duality study, which is part of a larger body of work in Mathematical optimization, is frequently linked to Diffusion map, bridging the gap between disciplines.
His main research concerns Probabilistic logic, Uncertainty quantification, Mathematical optimization, Software engineering and Applied mathematics. His Uncertainty quantification research includes elements of Rotation, Estimation theory, Convergence, Reduction and Bayesian inference. His Mathematical optimization research is multidisciplinary, incorporating perspectives in Reynolds-averaged Navier–Stokes equations, Probability density function and Turbulence kinetic energy.
Applied mathematics and First order are two areas of study in which Habib N. Najm engages in interdisciplinary work. His work investigates the relationship between Principle of maximum entropy and topics such as Hyperparameter that intersect with problems in Polynomial chaos. His Polynomial chaos study integrates concerns from other disciplines, such as Gaussian and Compressed sensing.
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Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
Habib N. Najm.
Annual Review of Fluid Mechanics (2009)
On the Adequacy of Certain Experimental Observables as Measurements of Flame Burning Rate
Habib N Najm;Phillip H Paul;Charles J Mueller;Peter S Wyckoff.
Combustion and Flame (1998)
Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
Bert J. Debusschere;Habib N. Najm;Philippe P. Pébay;Omar M. Knio.
computational science and engineering (2005)
Uncertainty propagation using Wiener-Haar expansions
O. P. Le Maître;O. M. Knio;H. N. Najm;R. G. Ghanem.
Journal of Computational Physics (2004)
Stochastic spectral methods for efficient Bayesian solution of inverse problems
Youssef M. Marzouk;Habib N. Najm;Larry A. Rahn.
Journal of Computational Physics (2007)
A stochastic projection method for fluid flow. I: basic formulation
Olivier P. Le Maitre;Omar M. Kino;Habib N. Najm;Roger G. Ghanem.
Journal of Computational Physics (2001)
Multi-resolution analysis of wiener-type uncertainty propagation schemes
O. P. Le Maître;H. N. Najm;R. G. Ghanem;O. M. Knio.
Journal of Computational Physics (2004)
A stochastic projection method for fluid flow II.: random process
Olivier P. Le Maîetre;Matthew T. Reagan;Habib N. Najm;Roger G. Ghanem.
Journal of Computational Physics (2002)
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
Youssef M. Marzouk;Habib N. Najm.
Journal of Computational Physics (2009)
Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
Matthew T. Reagan;Habib N. Najm;Roger G. Ghanem;Omar M. Knio.
Combustion and Flame (2003)
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