H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 91 Citations 22,993 476 World Ranking 31 National Ranking 1

Research.com Recognitions

Awards & Achievements

2003 - Member of the European Academy of Sciences

Member of the European Academy of Sciences and Arts

Overview

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)

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.

Top Publications

A finite-difference method for the numerical solution of the Schro¨dinger equation

T. E. Simos;P. S. Williams.
Journal of Computational and Applied Mathematics (1997)

267 Citations

A four-step phase-fitted method for the numerical integration of second order initial-value problems

A. D. Raptis;T. E. Simos.
Bit Numerical Mathematics (1991)

220 Citations

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

T.E. Simos.
Computer Physics Communications (1998)

200 Citations

An optimized Runge-Kutta method for the solution of orbital problems

Z. A. Anastassi;T. E. Simos.
Journal of Computational and Applied Mathematics (2005)

191 Citations

A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

Ibraheem Alolyan;T. E. Simos.
Computers & Mathematics With Applications (2011)

189 Citations

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

Kostas Tselios;T. E. Simos.
Journal of Computational and Applied Mathematics (2005)

187 Citations

On finite difference methods for the solution of the Schrödinger equation

Tom E. Simos;Paul Stefan Williams.
Computational Biology and Chemistry (1999)

187 Citations

Exponentially Fitted Symplectic Runge-Kutta-Nystr om methods

Th. Monovasilis;Z. Kalogiratou;T. Simos.
Applied Mathematics & Information Sciences (2013)

181 Citations

High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation

T.E. Simos.
Applied Mathematics and Computation (2009)

179 Citations

An Optimized Symmetric 8-Step Semi-Embedded Predictor-Corrector Method for IVPs with Oscillating Solutions

G. A. Panopoulos;T. E. Simos.
Applied Mathematics & Information Sciences (2013)

179 Citations

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

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