What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algorithm
- Algebra
Athanasios C. Antoulas mostly deals with Mathematical optimization, Applied mathematics, Dynamical systems theory, Interpolation and Singular value decomposition.
The concepts of his Mathematical optimization study are interwoven with issues in Lanczos resampling and Reduction.
His Applied mathematics research incorporates themes from Inverse quadratic interpolation, Birkhoff interpolation, Trilinear interpolation, Bilinear interpolation and Trigonometric interpolation.
When carried out as part of a general Dynamical systems theory research project, his work on Linear dynamical system is frequently linked to work in Scale, therefore connecting diverse disciplines of study.
His research in Lyapunov function intersects with topics in Singular value, Numerical analysis, Linear system, Mathematical analysis and Eigenvalues and eigenvectors.
His Eigenvalues and eigenvectors research integrates issues from Discrete mathematics, Upper and lower bounds, Model order reduction and Approximation theory.
His most cited work include:
- Approximation of Large-Scale Dynamical Systems (1885 citations)
- A survey of model reduction by balanced truncation and some new results (581 citations)
- A Survey of Model Reduction Methods for Large-Scale Systems (513 citations)
What are the main themes of his work throughout his whole career to date?
Athanasios C. Antoulas spends much of his time researching Applied mathematics, Reduction, Mathematical optimization, Control theory and Linear system.
His work carried out in the field of Applied mathematics brings together such families of science as Transfer function, Bilinear interpolation, Interpolation, Nonlinear system and Polynomial.
His research in Reduction focuses on subjects like Dynamical systems theory, which are connected to Algorithm.
His Mathematical optimization study combines topics in areas such as Lanczos resampling, Singular value decomposition, Upper and lower bounds and Robust control.
His Linear system research incorporates elements of Singular value and Structure.
His Model order reduction research includes elements of Truncation, Krylov subspace and Lyapunov function.
He most often published in these fields:
- Applied mathematics (63.82%)
- Reduction (42.68%)
- Mathematical optimization (19.51%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (63.82%)
- Reduction (42.68%)
- Transfer function (21.95%)
In recent papers he was focusing on the following fields of study:
Athanasios C. Antoulas mainly investigates Applied mathematics, Reduction, Transfer function, Data-driven and Nonlinear system.
The various areas that he examines in his Applied mathematics study include Linear system, Rational function, Quadratic equation, Extension and Polynomial.
In general Reduction study, his work on Model order reduction and Balanced truncation often relates to the realm of Reset, thereby connecting several areas of interest.
The Model order reduction study combines topics in areas such as Numerical analysis, Observability, Lyapunov function and Gramian matrix.
His Transfer function research is multidisciplinary, incorporating elements of Frequency domain and Reduced order.
Nonlinear system is closely attributed to Dynamical systems theory in his work.
Between 2016 and 2021, his most popular works were:
- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)
- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)
- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Algorithm
His scientific interests lie mostly in Reduction, Model order reduction, Applied mathematics, System identification and Data-driven.
His studies deal with areas such as Pure mathematics, Transfer function, Control theory and Algebra as well as Reduction.
His Transfer function study combines topics from a wide range of disciplines, such as Linear system, Krylov subspace, Reduced order, Class and Frequency domain.
His Model order reduction study combines topics from a wide range of disciplines, such as Observability, Lyapunov function and Topology.
Athanasios C. Antoulas merges many fields, such as Applied mathematics and A priori and a posteriori, in his writings.
The Data-driven study combines topics in areas such as Bilinear systems, Quadratic equation and Rational function.
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