What is he best known for?
The fields of study he is best known for:
- Statistics
- Mathematical analysis
- Artificial intelligence
His primary areas of study are Stochastic process, Polynomial chaos, Applied mathematics, Mathematical analysis and Mathematical optimization.
His research on Stochastic process frequently connects to adjacent areas such as Random variable.
His studies in Polynomial chaos integrate themes in fields like Uncertainty quantification, Function and Polynomial.
His Applied mathematics research is multidisciplinary, relying on both Stochastic modelling, Stochastic optimization and Calculus.
His Stochastic optimization study combines topics from a wide range of disciplines, such as Local time, Mixed finite element method and Multivariate random variable.
Roger Ghanem has researched Mathematical optimization in several fields, including Boundary value problem and Finite element method.
His most cited work include:
- Stochastic Finite Elements: A Spectral Approach (3930 citations)
- Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (405 citations)
- Stochastic Finite Element Expansion for Random Media (385 citations)
What are the main themes of his work throughout his whole career to date?
Roger Ghanem focuses on Polynomial chaos, Applied mathematics, Mathematical optimization, Stochastic process and Uncertainty quantification.
Roger Ghanem works mostly in the field of Polynomial chaos, limiting it down to concerns involving Random field and, occasionally, Statistical physics.
His Applied mathematics research incorporates themes from Probabilistic logic, Finite element method, Calculus and Nonlinear system.
The various areas that Roger Ghanem examines in his Mathematical optimization study include Function and Stochastic modelling.
His studies deal with areas such as Galerkin method and Random variable as well as Stochastic process.
His Uncertainty quantification study integrates concerns from other disciplines, such as Computation, Parametric statistics and Propagation of uncertainty.
He most often published in these fields:
- Polynomial chaos (30.97%)
- Applied mathematics (28.71%)
- Mathematical optimization (20.97%)
What were the highlights of his more recent work (between 2017-2021)?
- Probabilistic logic (16.45%)
- Polynomial chaos (30.97%)
- Applied mathematics (28.71%)
In recent papers he was focusing on the following fields of study:
Probabilistic logic, Polynomial chaos, Applied mathematics, Mathematical optimization and Composite material are his primary areas of study.
The concepts of his Probabilistic logic study are interwoven with issues in Probability density function, Distribution, Multivariate random variable, Stochastic differential equation and Manifold.
His Polynomial chaos study combines topics from a wide range of disciplines, such as Reliability, Hierarchy, Uncertainty quantification, Representation and Statistical model.
Roger Ghanem focuses mostly in the field of Representation, narrowing it down to topics relating to Fiber and, in certain cases, Stochastic process and Multiphysics.
The study incorporates disciplines such as Basis, Probability distribution and Probability measure in addition to Applied mathematics.
His study in Mathematical optimization focuses on Stochastic optimization in particular.
Between 2017 and 2021, his most popular works were:
- Compressive sensing adaptation for polynomial chaos expansions (18 citations)
- Data-driven discovery of free-form governing differential equations. (14 citations)
- A PCE-based multiscale framework for the characterization of uncertainties in complex systems (12 citations)
In his most recent research, the most cited papers focused on:
- Statistics
- Mathematical analysis
- Artificial intelligence
His scientific interests lie mostly in Mathematical optimization, Polynomial chaos, Probabilistic logic, Applied mathematics and Stochastic differential equation.
His work on Constrained optimization as part of his general Mathematical optimization study is frequently connected to Scramjet, thereby bridging the divide between different branches of science.
Roger Ghanem focuses mostly in the field of Polynomial chaos, narrowing it down to matters related to Stochastic modelling and, in some cases, Mesoscale meteorology and Complex system.
His Probabilistic logic research includes themes of Transfer molding, Multivariate random variable, Stochastic process, Representation and Multiphysics.
His studies in Applied mathematics integrate themes in fields like Basis, Scalar, Bayesian probability, Geodesic and Hybrid Monte Carlo.
His biological study deals with issues like Rotation, which deal with fields such as Uncertainty quantification.
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