D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 42 Citations 8,769 205 World Ranking 2249 National Ranking 15

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Statistics
  • Thermodynamics

Omar M. Knio mostly deals with Polynomial chaos, Uncertainty quantification, Applied mathematics, FOIL method and Mathematical optimization. His research in Polynomial chaos intersects with topics in Stochastic process and Polynomial. His work deals with themes such as Galerkin method, Spectral method, Sensitivity analysis, Monte Carlo method and Propagation of uncertainty, which intersect with Uncertainty quantification.

His Applied mathematics study combines topics in areas such as Projection, Computational fluid dynamics, Parametric statistics, Discretization and Numerical analysis. His FOIL method research is multidisciplinary, relying on both Combustion, Exothermic reaction, Thermodynamics and Metallurgy, Aluminium. His Mathematical optimization research incorporates themes from Matrix decomposition and Orthogonal basis.

His most cited work include:

  • Spectral Methods for Uncertainty Quantification (587 citations)
  • Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (505 citations)
  • Uncertainty propagation using Wiener-Haar expansions (363 citations)

What are the main themes of his work throughout his whole career to date?

Mechanics, Polynomial chaos, Applied mathematics, Vortex and Mathematical optimization are his primary areas of study. His Mechanics research incorporates elements of Combustion and Thermodynamics. Omar M. Knio interconnects Uncertainty quantification, Sensitivity, Bayesian inference and Algorithm, Propagation of uncertainty in the investigation of issues within Polynomial chaos.

His work deals with themes such as Sensitivity analysis, Stochastic process and Parametric statistics, which intersect with Uncertainty quantification. His Applied mathematics research integrates issues from Stochastic modelling, Galerkin method, Covariance, Covariance function and Representation. His Vortex study frequently draws connections to adjacent fields such as Classical mechanics.

He most often published in these fields:

  • Mechanics (21.76%)
  • Polynomial chaos (27.00%)
  • Applied mathematics (20.66%)

What were the highlights of his more recent work (between 2017-2021)?

  • Applied mathematics (20.66%)
  • Algorithm (9.37%)
  • Polynomial chaos (27.00%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Applied mathematics, Algorithm, Polynomial chaos, Advection and General Circulation Model. His Fractional calculus study in the realm of Applied mathematics interacts with subjects such as Domain decomposition methods. His Algorithm study combines topics from a wide range of disciplines, such as Sampling, Flow, Inference and Bayesian inference.

His work is dedicated to discovering how Inference, Work are connected with Uncertainty quantification and other disciplines. His Polynomial chaos study improves the overall literature in Monte Carlo method. His General Circulation Model research is multidisciplinary, incorporating perspectives in Meteorology, Weather Research and Forecasting Model, Grid, Propagation of uncertainty and Trajectory planning.

Between 2017 and 2021, his most popular works were:

  • TChem - A Software Toolkit for the Analysis of Complex Kinetic Models (27 citations)
  • Surface air temperature variability over the Arabian Peninsula and its links to circulation patterns (24 citations)
  • High-resolution assessment of solar energy resources over the Arabian Peninsula (19 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Statistics
  • Thermodynamics

Omar M. Knio mainly focuses on Peninsula, Climatology, Applied mathematics, Advection and Data assimilation. His Climatology study integrates concerns from other disciplines, such as Covariance and Eddy. The Applied mathematics study combines topics in areas such as Sobol sequence, Representation and Stochastic modelling.

The various areas that Omar M. Knio examines in his Advection study include Exponential growth, Statistical physics, Law of total probability, Vector field and Particle number. The concepts of his Data assimilation study are interwoven with issues in Uncertainty quantification, Work, Inference and Zeroth law of thermodynamics. His studies examine the connections between Radiometer and genetics, as well as such issues in Meteorology, with regards to Similarity, Metric, Matrix decomposition, Grid and Downscaling.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Spectral methods for uncertainty quantification : with applications to computational fluid dynamics

O. P. Le Maître;O. M. Knio.
(2010)

1480 Citations

Spectral Methods for Uncertainty Quantification

O. P. Le Maître;Omar M. Knio.
Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics (2010)

928 Citations

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)

535 Citations

Uncertainty propagation using Wiener-Haar expansions

O. P. Le Maître;O. M. Knio;H. N. Najm;R. G. Ghanem.
Journal of Computational Physics (2004)

511 Citations

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)

412 Citations

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)

391 Citations

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)

345 Citations

A Semi-implicit Numerical Scheme for Reacting Flow

Habib N. Najm;Peter S. Wyckoff;Omar M. Knio.
Journal of Computational Physics (1998)

307 Citations

Uncertainty propagation in CFD using polynomial chaos decomposition

O.M. Knio;O.P. Le Maître.
Fluid Dynamics Research (2006)

297 Citations

Joining of stainless-steel specimens with nanostructured Al/Ni foils

J. Wang;E. Besnoin;A. Duckham;S. J. Spey.
Journal of Applied Physics (2004)

250 Citations

Best Scientists Citing Omar M. Knio

Timothy P. Weihs

Timothy P. Weihs

Johns Hopkins University

Publications: 66

Habib N. Najm

Habib N. Najm

Sandia National Laboratories

Publications: 56

Christian Soize

Christian Soize

Université Gustave Eiffel

Publications: 51

Gianluca Iaccarino

Gianluca Iaccarino

Stanford University

Publications: 43

Ahmed F. Ghoniem

Ahmed F. Ghoniem

MIT

Publications: 39

Roger Ghanem

Roger Ghanem

University of Southern California

Publications: 36

George Em Karniadakis

George Em Karniadakis

Brown University

Publications: 29

Edriss S. Titi

Edriss S. Titi

Texas A&M University

Publications: 29

Ibrahim Hoteit

Ibrahim Hoteit

King Abdullah University of Science and Technology

Publications: 27

Bruno Sudret

Bruno Sudret

ETH Zurich

Publications: 25

Raul Tempone

Raul Tempone

RWTH Aachen University

Publications: 25

Guan Heng Yeoh

Guan Heng Yeoh

UNSW Sydney

Publications: 24

Fabio Nobile

Fabio Nobile

École Polytechnique Fédérale de Lausanne

Publications: 23

Jan Nordström

Jan Nordström

Linköping University

Publications: 22

Dongbin Xiu

Dongbin Xiu

The Ohio State University

Publications: 22

Alexander S. Mukasyan

Alexander S. Mukasyan

University of Notre Dame

Publications: 20

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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