Theodore E. Simos

According to our database1, Theodore E. Simos authored at least 80 papers between 1990 and 2018.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2018
Trigonometrical fitting conditions for two derivative Runge-Kutta methods.
Numer. Algorithms, 2018

2017
Phase-fitted Runge-Kutta pairs of orders 8(7).
J. Comput. Appl. Math., 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

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

Special issue on Numerical Analysis of Fluid Flow and Heat Transfer: Preface.
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

On modified Runge-Kutta trees and methods.
Comput. Math. Appl., 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

Preface.
Appl. Math. Comput., 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

Preface.
Math. Comput. Model., 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

Symplectic Partitioned Runge-Kutta methods with minimal phase-lag.
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

Preface.
Appl. Math. Comput., 2009

A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods.
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
Preface.
Math. Comput. Model., 2007

Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems.
Comput. Phys. Commun., 2007

Preface.
Appl. Math. Comput., 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

Preface.
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
Preface.
Math. Comput. Model., 2004

A trigonometrically-fitted method for long-time integration of orbital problems.
Math. Comput. Model., 2004

Editorial.
J. Comput. Methods Sci. Eng., 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
On Finite Difference Methods for the Solution of the Schrödinger Equation.
Comput. Chem., 1999

Dissipative High Phase-lag Order Numerov-type Methods for the Numerical Solution of the Schrödinger Equation.
Comput. Chem., 1999

An Expert System for the Numerical Solution of the Radial Schrödinger Equation.
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

Accurate Computations for the Elastic Scattering Phase-shift Problem.
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
Efficient Parallel Methods for Special Second Order Ordinary Differential Equations.
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


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