What is he best known for?
The fields of study he is best known for:
- Statistics
- Mathematical analysis
- Mechanical engineering
His primary areas of investigation include Stochastic process, Applied mathematics, Nonlinear system, Mathematical analysis and Monte Carlo method.
His Stochastic process research integrates issues from Random variable, Stochastic differential equation, Stochastic optimization, Wavelet and Random vibration.
The various areas that Pol D. Spanos examines in his Applied mathematics study include Reliability, Stability and Calculus.
His Nonlinear system study incorporates themes from Probability density function, Linear system and Equations of motion.
His Monte Carlo method research includes elements of Finite element method, Fractional calculus and Statistical physics.
His studies in Finite element method integrate themes in fields like Continuous-time stochastic process, Mathematical optimization and Homogenization.
His most cited work include:
- Stochastic Finite Elements: A Spectral Approach (3930 citations)
- Random vibration and statistical linearization (954 citations)
- Stochastic Finite Element Expansion for Random Media (385 citations)
What are the main themes of his work throughout his whole career to date?
Pol D. Spanos mostly deals with Nonlinear system, Mathematical analysis, Stochastic process, Applied mathematics and Control theory.
His Nonlinear system study combines topics from a wide range of disciplines, such as Fractional calculus, Monte Carlo method, Linear system and Random vibration.
Pol D. Spanos combines subjects such as Vibration, Algebraic equation, Spectral density and Equations of motion with his study of Mathematical analysis.
His study in Stochastic process is interdisciplinary in nature, drawing from both Autoregressive model, Autoregressive–moving-average model, Finite element method, Random field and Algorithm.
Pol D. Spanos interconnects Numerical analysis, Mathematical optimization, Volterra series and Calculus in the investigation of issues within Applied mathematics.
His Control theory research incorporates themes from Control engineering, Frequency domain and Stiffness.
He most often published in these fields:
- Nonlinear system (35.83%)
- Mathematical analysis (27.04%)
- Stochastic process (26.06%)
What were the highlights of his more recent work (between 2016-2021)?
- Nonlinear system (35.83%)
- Applied mathematics (23.45%)
- Mathematical analysis (27.04%)
In recent papers he was focusing on the following fields of study:
His main research concerns Nonlinear system, Applied mathematics, Mathematical analysis, Fractional calculus and Monte Carlo method.
His Nonlinear system research is multidisciplinary, relying on both Boundary element method, Linear system, Vibration and Damper.
His work carried out in the field of Applied mathematics brings together such families of science as Polynomial chaos, Amplitude, Basis function, Discretization and Isogeometric analysis.
His work on Ordinary differential equation as part of general Mathematical analysis research is frequently linked to Soil horizon, thereby connecting diverse disciplines of science.
His research on Fractional calculus also deals with topics like
- Bilinear interpolation that connect with fields like Hypergeometric function, Galerkin method, Markov process and Mathematical optimization,
- Harmonic balance which connect with Colors of noise, Fourier series and Differential equation.
His Monte Carlo method research includes themes of Thermal conductivity, Thermal and Finite element method.
Between 2016 and 2021, his most popular works were:
- Approximate survival probability determination of hysteretic systems with fractional derivative elements (14 citations)
- Nonlinear random vibrations of plates endowed with fractional derivative elements (13 citations)
- Nonlinear random vibrations of plates endowed with fractional derivative elements (13 citations)
In his most recent research, the most cited papers focused on:
- Statistics
- Mathematical analysis
- Mechanical engineering
His primary scientific interests are in Mathematical analysis, Nonlinear system, Fractional calculus, Hilbert transform and Nonlinear oscillators.
His work on Discretization and Integral equation is typically connected to Subject, Cholesky decomposition and Soil horizon as part of general Mathematical analysis study, connecting several disciplines of science.
His Nonlinear system research incorporates elements of White noise, Damper and Ordinary differential equation.
The various areas that he examines in his Fractional calculus study include Bilinear interpolation, Partial differential equation, Boundary value problem, Boundary element method and Square.
His Bilinear interpolation research is multidisciplinary, incorporating elements of Steady state, Linear system, Equations of motion and Applied mathematics.
The Hilbert transform study combines topics in areas such as Response Amplitude, Perspective, Particle displacement and Excited state.
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