T. E. Simos

Publication Activity (10 Years)

Years Active: 1991-2024
Publications (10 Years): 9

Top Topics

Alternative Methods

Algebraic Equations

Transfer Function

Top Venues

J. Comput. Appl. Math.

Numer. Algorithms

Comput. Phys. Commun.

Neural Comput. Appl.

Publications

V. N. Kovalnogov, R. V. Fedorov, M. T. Karpukhina, M. I. Kornilova, T. E. Simos, Charalampos Tsitouras
Economical handling of Runge-Kutta-Nyström step rejection. J. Comput. Appl. Math. 438 (2024)
V. N. Kovalnogov, R. V. Fedorov, M. T. Karpukhina, M. I. Kornilova, T. E. Simos, Charalampos Tsitouras
Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems. J. Comput. Appl. Math. 419 (2023)
T. E. Simos, Ioannis Th. Famelis
A neural network training algorithm for singular perturbation boundary value problems. Neural Comput. Appl. 34 (1) (2022)
T. E. Simos, Charalampos Tsitouras
Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks. Neural Comput. Appl. 33 (16) (2021)
T. E. Simos, Charalampos Tsitouras
Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems. Numer. Algorithms 87 (2) (2021)
Th. Monovasilis, Zacharoula Kalogiratou, T. E. Simos
Trigonometrical fitting conditions for two derivative Runge-Kutta methods. Numer. Algorithms 79 (3) (2018)
Charalampos Tsitouras, Ioannis Th. Famelis, T. E. Simos
Phase-fitted Runge-Kutta pairs of orders 8(7). J. Comput. Appl. Math. 321 (2017)
Zacharoula Kalogiratou, Th. Monovasilis, Higinio Ramos, T. E. Simos
A new approach on the construction of trigonometrically fitted two step hybrid methods. J. Comput. Appl. Math. 303 (2016)
Higinio Ramos, Zacharoula Kalogiratou, Th. Monovasilis, T. E. Simos
An optimized two-step hybrid block method for solving general second order initial-value problems. Numer. Algorithms 72 (4) (2016)
Hang Ning, T. E. Simos
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. 196 (2015)
G. A. Panopoulos, T. E. Simos
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. 290 (2015)
G. A. Panopoulos, T. E. Simos
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions. Comput. Phys. Commun. 185 (2) (2014)
Charalampos Tsitouras, Ioannis Th. Famelis, T. E. Simos
On modified Runge-Kutta trees and methods. Comput. Math. Appl. 62 (4) (2011)
Ibraheem Alolyan, T. E. Simos
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. 62 (10) (2011)
Zacharoula Kalogiratou, Th. Monovasilis, T. E. Simos
New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. Comput. Math. Appl. 60 (6) (2010)
Stavros Stavroyiannis, T. E. Simos
A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems. Comput. Phys. Commun. 181 (8) (2010)
T. E. Simos, G. Psihoyios, Zacharias A. Anastassi
Preface. Math. Comput. Model. 51 (3-4) (2010)
T. E. Simos
P-stability, Trigonometric-fitting and the numerical solution of the radial Schrödinger equation. Comput. Phys. Commun. 180 (7) (2009)
T. E. Simos
High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 209 (1) (2009)
Th. Monovasilis, Zacharoula Kalogiratou, T. E. Simos
A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods. Appl. Math. Comput. 209 (1) (2009)
T. E. Simos
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. Appl. Math. Lett. 22 (10) (2009)
D. F. Papadopoulos, Zacharias A. Anastassi, T. E. Simos
A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions. Comput. Phys. Commun. 180 (10) (2009)
T. E. Simos
High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems. Comput. Phys. Commun. 178 (3) (2008)
T. E. Simos, G. Psihoyios
Preface. Appl. Math. Comput. 184 (1) (2007)
Th. Monovasilis, Zacharoula Kalogiratou, T. E. Simos
Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems. Comput. Phys. Commun. 177 (10) (2007)
D. S. Vlachos, T. E. Simos
PDSW: A program for the calculation of photon energy distribution resulting from radioactive elements in seawater. Comput. Phys. Commun. 174 (5) (2006)
T. E. Simos
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Appl. Math. Lett. 17 (5) (2004)
Charalampos Tsitouras, T. E. Simos
High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems. Appl. Math. Comput. 131 (1) (2002)
Zacharoula Kalogiratou, T. E. Simos
A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation. Appl. Math. Comput. 112 (1) (2000)
T. E. Simos
A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 106 (2-3) (1999)
T. E. Simos
Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 98 (2-3) (1999)
T. E. Simos
Some Modified Runge-Kutta Methods for the Numerical Solution of Initial-Value Problems with Oscillating Solutions. J. Sci. Comput. 13 (1) (1998)
T. E. Simos
Efficient Parallel Methods for Special Second Order Ordinary Differential Equations. Parallel Algorithms Appl. 2 (4) (1994)
T. E. Simos, Alexander B. Sideridis
Accurate numerical approximations to initial value problems with periodical solutions. Computing 50 (1) (1993)
T. E. Simos
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. 39 (1-2) (1991)