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Mathematics

D-Index
88
Citations
21599
World Ranking
90
National Ranking
1

Research.com Recognitions

  • 2003 - Member of the European Academy of Sciences
  • Member of the European Academy of Sciences and Arts
  • Member of the European Academy of Sciences and Arts
  • Member of the European Academy of Sciences and Arts

Overview

T. E. Simos is affiliated with the Ulyanovsk State Technical University in the Russian Federation. Their research focuses extensively on numerical methods, particularly in the field of computational mathematics and engineering.

The scientist's principal areas of study include:

  • Engineering
  • Mathematics
  • Computer Science

Within these broad fields, key subfields addressed by T. E. Simos are:

  • Numerical Analysis
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Automotive Engineering
  • Modeling and Simulation

The research topics they have extensively explored encompass:

  • Numerical methods for differential equations
  • Advanced Numerical Methods in Computational Mathematics
  • Matrix Theory and Algorithms
  • Differential Equations and Numerical Methods
  • Fractional Differential Equations Solutions
  • Brake Systems and Friction Analysis
  • Aerodynamics and Fluid Dynamics Research

T. E. Simos has contributed to various scientific journals, with frequent publications appearing in:

  • Journal of Computational and Applied Mathematics
  • AIP conference proceedings
  • Neural Computing and Applications
  • World of transport and technological machines

Their recent papers include:

  • "On high order Runge-Kutta-Nyström pairs," 2021, Journal of Computational and Applied Mathematics
  • "A neural network training algorithm for singular perturbation boundary value problems," 2021, Neural Computing and Applications
  • "Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks," 2021, Neural Computing and Applications
  • "Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems," 2022, Journal of Computational and Applied Mathematics
  • "Symmetric seven-stages multistep perfect in phase embedded pairs (S7S2mSEMB)," 2020, AIP conference proceedings

Frequent co-authors collaborating with T. E. Simos include:

  • Ch. Tsitouras
  • Vladislav N. Kovalnogov
  • Ruslan V. Fedorov
  • M.T. Karpukhina
  • Maria I. Kornilova

In recognition of their professional contributions, T. E. Simos is a member of the European Academy of Sciences since 2003 and is also a member of the European Academy of Sciences and Arts.

Best Publications

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

    T. E. Simos;P. S. Williams

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

    T.E. Simos

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

    A. D. Raptis;T. E. Simos

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

    Z. A. Anastassi;T. E. Simos

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

    A. Konguetsof;T. E. Simos

  • On finite difference methods for the solution of the Schrödinger equation

    Tom E. Simos;Paul Stefan Williams

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

    Kostas Tselios;T. E. Simos

  • Newton--Cotes formulae for long-time integration

    Z. Kalogiratou;T. E. Simos

  • New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation

    Z. Kalogiratou;Th. Monovasilis;T. E. Simos

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

    T.E. Simos

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

    G. A. Panopoulos;T. E. Simos

  • A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems

    Z. A. Anastassi;T. E. Simos

  • A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions

    G. Psihoyios;T. E. Simos

  • An optimized two-step hybrid block method for solving general second order initial-value problems

    Higinio Ramos;Z. Kalogiratou;Th. Monovasilis;T. E. Simos

  • Trigonometrically fitted predictor: corrector methods for IVPs with oscillating solutions

    G. Psihoyios;T. E. Simos

  • Closed Newton–Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems

    T.E. Simos

  • Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation

    D. P. Sakas;T. E. Simos

  • New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration

    T. E. Simos

  • Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems

    A. A. Kosti;Z. A. Anastassi;T. E. Simos

  • Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs

    S. Stavroyiannis;T. E. Simos

Frequent Co-Authors

Ch. Tsitouras
Ch. Tsitouras National and Kapodistrian University of Athens
Jesús Vigo-Aguiar
Jesús Vigo-Aguiar University of Salamanca

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