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- T. E. Simos

Ulyanovsk State Technical University

Russian Federation

Mathematics

Russia

2022

2022 - Research.com Mathematics in Russia Leader Award

2003 - Member of the European Academy of Sciences

Member of the European Academy of Sciences and Arts

- 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.

- 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)

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.

- Mathematical analysis (85.80%)
- Schrödinger equation (79.57%)
- Algebraic number (57.39%)

- Applied mathematics (40.86%)
- Schrödinger equation (79.57%)
- Mathematical analysis (85.80%)

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.

- 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.

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)**

304 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)**

222 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)**

217 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)**

200 Citations

A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation

A. Konguetsof;T. E. Simos.

Journal of Computational and Applied Mathematics **(2003)**

198 Citations

On finite difference methods for the solution of the Schrödinger equation

Tom E. Simos;Paul Stefan Williams.

Computational Biology and Chemistry **(1999)**

197 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

Newton--Cotes formulae for long-time integration

Z. Kalogiratou;T. E. Simos.

Journal of Computational and Applied Mathematics **(2003)**

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)**

181 Citations

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