Theodore E. Simos
Orcid: 0000-0002-9220-6924Affiliations:
- University of Peloponnese, Department of Computer Science and Technology
- King Saud University, Department of Mathematics
According to our database1,
Theodore E. Simos
authored at least 103 papers
between 1990 and 2024.
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Bibliography
2024
A New Methodology for the Development of Efficient Multistep Methods for First-Order Initial Value Problems with Oscillating Solutions: III the Role of the Derivative of the Phase Lag and the Derivative of the Amplification Factor.
Axioms, August, 2024
Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor-Corrector Algorithms.
Symmetry, May, 2024
Numer. Algorithms, April, 2024
J. Comput. Appl. Math., March, 2024
A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions IV: The Case of the Backward Differentiation Formulae.
Axioms, 2024
2023
Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics.
IEEE Trans. Syst. Man Cybern. Syst., October, 2023
Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems.
J. Comput. Appl. Math., 2023
2022
Neural Comput. Appl., 2022
A neural network training algorithm for singular perturbation boundary value problems.
Neural Comput. Appl., 2022
Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems.
Math. Comput. Simul., 2022
Multi-input bio-inspired weights and structure determination neuronet with applications in European Central Bank publications.
Math. Comput. Simul., 2022
Finite-time convergent zeroing neural network for solving time-varying algebraic Riccati equations.
J. Frankl. Inst., 2022
A higher-order zeroing neural network for pseudoinversion of an arbitrary time-varying matrix with applications to mobile object localization.
Inf. Sci., 2022
A multi-input with multi-function activated weights and structure determination neuronet for classification problems and applications in firm fraud and loan approval.
Appl. Soft Comput., 2022
Numerical Solution of the Schrödinger Equation - Numerical Methods for Problems with Periodic or Oscillating Solution
Computational, Numerical and Mathematical Methods in Sciences and Engineering 2, WorldScientific, ISBN: 9781848162327, 2022
2021
Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks.
Neural Comput. Appl., 2021
Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems.
Numer. Algorithms, 2021
Preface to special issue of selected papers from the 13th International Symposium on Numerical Analysis of Fluid Flow, Heat and Mass Transfer - Numerical Fluids 2018.
Comput. Math. Appl., 2021
Time-varying Black-Litterman portfolio optimization using a bio-inspired approach and neuronets.
Appl. Soft Comput., 2021
2019
2018
Numer. Algorithms, 2018
Bayesian inference of the fractional Ornstein-Uhlenbeck process under a flow sampling scheme.
Comput. Stat., 2018
2017
2016
An optimized two-step hybrid block method for solving general second order initial-value problems.
Numer. Algorithms, 2016
A new approach on the construction of trigonometrically fitted two step hybrid methods.
J. Comput. Appl. Math., 2016
Preface to special issue of selected papers from the 9<sup>th</sup> International Symposium on Numerical Analysis of Fluid Flow and Heat Transfer - Numerical Fluids 2014.
Appl. Math. Comput., 2016
2015
An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown.
J. Comput. Appl. Math., 2015
High algebraic order Runge-Kutta type two-step method with vanished phase-lag and its first, second, third, fourth, fifth and sixth derivatives.
Comput. Phys. Commun., 2015
2014
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions.
Comput. Phys. Commun., 2014
A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method.
Comput. Phys. Commun., 2014
2012
A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems.
J. Comput. Appl. Math., 2012
Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag.
J. Appl. Math., 2012
An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems.
Comput. Phys. Commun., 2012
Appl. Math. Comput., 2012
A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems.
Appl. Math. Comput., 2012
2011
A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions.
Comput. Phys. Commun., 2011
Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems.
Comput. Math. Appl., 2011
A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation.
Comput. Math. Appl., 2011
2010
Algorithm 901: LMEF - A program for the construction of linear multistep methods with exponential fitting for the numerical solution of ordinary differential equations.
ACM Trans. Math. Softw., 2010
Trends of the bonding effect on the performance of DFT methods in electric properties calculations: A pattern recognition and metric space approach on some XY<sub>2</sub> (X = O, S and Y = H, O, F, S, Cl) molecules.
J. Comput. Chem., 2010
A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems.
Comput. Phys. Commun., 2010
Comput. Phys. Commun., 2010
New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation.
Comput. Math. Appl., 2010
2009
P-stability, Trigonometric-fitting and the numerical solution of the radial Schrödinger equation.
Comput. Phys. Commun., 2009
A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions.
Comput. Phys. Commun., 2009
Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge-Kutta-Nyström methods.
Comput. Phys. Commun., 2009
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems.
Appl. Math. Lett., 2009
High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation.
Appl. Math. Comput., 2009
Appl. Math. Comput., 2009
2008
High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems.
Comput. Phys. Commun., 2008
2007
Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems.
Comput. Phys. Commun., 2007
2006
PDSW: A program for the calculation of photon energy distribution resulting from radioactive elements in seawater.
Comput. Phys. Commun., 2006
2005
Fitting a multiple regression line to travel demand forecasting: The case of the prefecture of Xanthi, Northern Greece.
Math. Comput. Model., 2005
A fifth algebraic order trigonometrically-fitted modified runge-kutta zonneveld method for the numerical solution of orbital problems.
Math. Comput. Model., 2005
A new trigonometrically-fitted sixth algebraic order P-C algorithm for the numerical solution of the radial schrödinger equation.
Math. Comput. Model., 2005
Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation.
Math. Comput. Model., 2005
2004
Math. Comput. Model., 2004
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution.
Appl. Math. Lett., 2004
2003
Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions.
Numer. Algorithms, 2003
2002
P-stable Eighth Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 2002
Exponentially-fitted Runge-Kutta-Nystro"m method for the numerical solution of initial-value problems with oscillating solutions.
Appl. Math. Lett., 2002
High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems.
Appl. Math. Comput., 2002
2001
A Dissipative Exponentially-Fitted Method for the Numerical Solution of the Schrödinger Equation.
J. Chem. Inf. Comput. Sci., 2001
Dissipative Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 2001
New Insights in the Development of Numerov-type Methods with Minimal Phase-lag for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 2001
A Modified Runge-Kutta Method with Phase-lag of Order Infinity for the Numerical Solution of the Schrödinger Equation and Related Problems.
Comput. Chem., 2001
On Variable-step Methods for the Numerical Solution of Schrödinger Equation and Related Problems.
Comput. Chem., 2001
2000
A Generalization of Numerov's Method for the Numerical Solution of the Schrödinger Equation in Two Dimensions.
Comput. Chem., 2000
A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation.
Appl. Math. Comput., 2000
1999
Comput. Chem., 1999
Dissipative High Phase-lag Order Numerov-type Methods for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 1999
Comput. Chem., 1999
Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation.
Appl. Math. Comput., 1999
A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation.
Appl. Math. Comput., 1999
A Generator of P-stable Hybrid Methods.
Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 1999
1998
Some Modified Runge-Kutta Methods for the Numerical Solution of Initial-Value Problems with Oscillating Solutions.
J. Sci. Comput., 1998
Computer Algebra Programmes for the Construction of a Family of Numerov-type Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 1998
An Eighth Order Exponentially-fitted Method for the Numerical Integration of the Schrödinger Equation.
Comput. Chem., 1998
New Embedded Explicit Methods with Minimal Phase-lag for the Numerical Integration of the Schrödinger Equation.
Comput. Chem., 1998
Explicit high order methods for the numerical integration of periodic initial-value problems.
Appl. Math. Comput., 1998
1997
An Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation.
J. Chem. Inf. Comput. Sci., 1997
A Family of Numerov-type Exponentially Fitted Methods for the Numerical Integration of the Schrödinger Equation.
Comput. Chem., 1997
Bessel and Neumann-fitted Methods for the Numerical Solution of the Radial Schrödinger Equation.
Comput. Chem., 1997
An Explicit Eighth-order Method with Minimal Phase-lag for Accurate Computations of Eigenvalues, Resonances and Phase Shifts.
Comput. Chem., 1997
Comput. Chem., 1997
1996
A Numerov-type Method for Computing Eigenvalues and Resonances of the Radial Schrödinger Equation.
Comput. Chem., 1996
Two-Step P-stable Methods with Phase-Lag of Order Infinity for the Numerical Solution of Special Second Order Initial Value Problems.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996
Bessel and Neumann Fitted Methods for the Numerical Solution of the Schrödinger Equation.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996
Integration of Some Constitutive Relations of Plain Strain Alastoplasticity Using Modified Runge-Kutta Methods.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996
1994
Parallel Algorithms Appl., 1994
1993
Accurate numerical approximations to initial value problems with periodical solutions.
Computing, 1993
1991
A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem.
Int. J. Comput. Math., 1991
1990
Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation.
Computing, 1990