What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Differential equation
His main research concerns Mathematical analysis, Schrödinger equation, Algebraic number, Runge–Kutta methods and Initial value problem.
His work in Numerical analysis, Symplectic geometry, Differential equation, Order and Numerical integration is related to Mathematical analysis.
T. E. Simos merges Schrödinger equation with Phase lag in his research.
T. E. Simos has included themes like Order, Exponential growth, Constant coefficients, Scalar and Predictor–corrector method in his Algebraic number study.
His Runge–Kutta methods study integrates concerns from other disciplines, such as Discrete mathematics, Computation, Dormand–Prince method and Truncation error.
T. E. Simos has researched Initial value problem in several fields, including Development, Interval and Applied mathematics.
His most cited work include:
- A four-step phase-fitted method for the numerical integration of second order initial-value problems (197 citations)
- A finite-difference method for the numerical solution of the Schro¨dinger equation (188 citations)
- An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions (187 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Schrödinger equation, Algebraic number, Applied mathematics and Numerical integration.
His study in Initial value problem, Runge–Kutta methods, Order, Differential equation and Symplectic geometry falls within the category of Mathematical analysis.
In Schrödinger equation, T. E. Simos works on issues like Numerical analysis, which are connected to Mathematical chemistry.
His Algebraic number research includes themes of Order, Interval, Scalar, Predictor–corrector method and Computation.
His research integrates issues of Phase, Derivative, Finite difference, Calculus and Type in his study of Applied mathematics.
As a part of the same scientific study, T. E. Simos usually deals with the Numerical integration, concentrating on Exponential function and frequently concerns with Free parameter.
He most often published in these fields:
- Mathematical analysis (85.80%)
- Schrödinger equation (79.57%)
- Algebraic number (57.39%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (40.86%)
- Schrödinger equation (79.57%)
- Mathematical analysis (85.80%)
In recent papers he was focusing on the following fields of study:
T. E. Simos mainly focuses on Applied mathematics, Schrödinger equation, Mathematical analysis, Phase lag and Initial value problem.
His Applied mathematics research incorporates themes from Phase, Derivative, Finite difference, Runge–Kutta methods and Order.
His research in Schrödinger equation intersects with topics in Scheme, Order, Type and Interval.
His Mathematical analysis research is multidisciplinary, relying on both Stability and Point.
T. E. Simos interconnects Predictor–corrector method, Finite difference method and Differential equation in the investigation of issues within Initial value problem.
The Algebraic number study combines topics in areas such as Second derivative, Scalar, Constant coefficients, Function and Computation.
Between 2015 and 2021, his most popular works were:
- An optimized two-step hybrid block method for solving general second order initial-value problems (116 citations)
- A new approach on the construction of trigonometrically fitted two step hybrid methods (108 citations)
- Construction of Exponentially Fitted Symplectic Runge–Kutta–Nyström Methods from Partitioned Runge–Kutta Methods (101 citations)
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