Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation. - Theodore E. Simos; A. D. Raptis (Computing, 1990)

A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem. - T. E. Simos (Int. J. Comput. Math., 1991)

Accurate numerical approximations to initial value problems with periodical solutions. - T. E. Simos; Alexander B. Sideridis (Computing, 1993)

Efficient Parallel Methods for Special Second Order Ordinary Differential Equations. - T. E. Simos (Parallel Algorithms Appl., 1994)

Integration of Some Constitutive Relations of Plain Strain Alastoplasticity Using Modified Runge-Kutta Methods. - G. Papakaliatakis; Tom E. Simos (WNAA, 1996)

Bessel and Neumann Fitted Methods for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (WNAA, 1996)

Two-Step P-stable Methods with Phase-Lag of Order Infinity for the Numerical Solution of Special Second Order Initial Value Problems. - Paul Stefan Williams; Tom E. Simos (WNAA, 1996)

A Numerov-type Method for Computing Eigenvalues and Resonances of the Radial Schrödinger Equation. - Tom E. Simos; G. Tougelidis (Comput. Chem., 1996)

Accurate Computations for the Elastic Scattering Phase-shift Problem. - Tom E. Simos (Comput. Chem., 1997)

An Explicit Eighth-order Method with Minimal Phase-lag for Accurate Computations of Eigenvalues, Resonances and Phase Shifts. - Tom E. Simos; G. Tougelidis (Comput. Chem., 1997)

Bessel and Neumann-fitted Methods for the Numerical Solution of the Radial Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 1997)

A Family of Numerov-type Exponentially Fitted Methods for the Numerical Integration of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 1997)

An Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos (J. Chem. Inf. Comput. Sci., 1997)

Explicit high order methods for the numerical integration of periodic initial-value problems. - Charalampos Tsitouras; Theodore E. Simos (Appl. Math. Comput., 1998)

New Embedded Explicit Methods with Minimal Phase-lag for the Numerical Integration of the Schrödinger Equation. - Tom E. Simos (Comput. Chem., 1998)

An Eighth Order Exponentially-fitted Method for the Numerical Integration of the Schrödinger Equation. - Tom E. Simos (Comput. Chem., 1998)

Computer Algebra Programmes for the Construction of a Family of Numerov-type Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 1998)

Some Modified Runge-Kutta Methods for the Numerical Solution of Initial-Value Problems with Oscillating Solutions. - T. E. Simos (J. Sci. Comput., 1998)

A Generator of P-stable Hybrid Methods. - George Avdelas; Tom E. Simos (PDPTA, 1999)

A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation. - T. E. Simos (Appl. Math. Comput., 1999)

Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation. - T. E. Simos (Appl. Math. Comput., 1999)

An Expert System for the Numerical Solution of the Radial Schrödinger Equation. - Tom E. Simos (Comput. Chem., 1999)

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

On Finite Difference Methods for the Solution of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 1999)

A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation. - Zacharoula Kalogiratou; T. E. Simos (Appl. Math. Comput., 2000)

A Generalization of Numerov's Method for the Numerical Solution of the Schrödinger Equation in Two Dimensions. - George Avdelas; Avrilia Konguetsof; Tom E. Simos (Comput. Chem., 2000)

On Variable-step Methods for the Numerical Solution of Schrödinger Equation and Related Problems. - George Avdelas; Tom E. Simos (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. - Tom E. Simos; Jesús Vigo-Aguiar (Comput. Chem., 2001)

New Insights in the Development of Numerov-type Methods with Minimal Phase-lag for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 2001)

Dissipative Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos; Paul Stefan Williams (Comput. Chem., 2001)

A Dissipative Exponentially-Fitted Method for the Numerical Solution of the Schrödinger Equation. - Tom E. Simos (J. Chem. Inf. Comput. Sci., 2001)

High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems. - Charalampos Tsitouras; T. E. Simos (Appl. Math. Comput., 2002)

Exponentially-fitted Runge-Kutta-Nystro"m method for the numerical solution of initial-value problems with oscillating solutions. - Tom E. Simos (Appl. Math. Lett., 2002)

P-stable Eighth Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation. - Avrilia Konguetsof; Tom E. Simos (Comput. Chem., 2002)

Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions. - Tom E. Simos; Ioannis Th. Famelis; Charalampos Tsitouras (Numer. Algorithms, 2003)

Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. - T. E. Simos (Appl. Math. Lett., 2004)

Editorial. - Theodore E. Simos (J. Comput. Methods Sci. Eng., 2004)

A trigonometrically-fitted method for long-time integration of orbital problems. - Theodore E. Simos (Math. Comput. Model., 2004)

Preface. - Theodore E. Simos; Ian Gladwell (Math. Comput. Model., 2004)

Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation. - Zacharias A. Anastassi; Theodore E. Simos (Math. Comput. Model., 2005)

A new trigonometrically-fitted sixth algebraic order P-C algorithm for the numerical solution of the radial schrödinger equation. - George Psihoyios; Theodore E. Simos (Math. Comput. Model., 2005)

A fifth algebraic order trigonometrically-fitted modified runge-kutta zonneveld method for the numerical solution of orbital problems. - D. P. Sakas; Theodore E. Simos (Math. Comput. Model., 2005)

Preface. - Theodore E. Simos; Jesús Vigo-Aguiar (Math. Comput. Model., 2005)

Fitting a multiple regression line to travel demand forecasting: The case of the prefecture of Xanthi, Northern Greece. - E. G. Varagouli; Theodore E. Simos; G. S. Xeidakis (Math. Comput. Model., 2005)

PDSW: A program for the calculation of photon energy distribution resulting from radioactive elements in seawater. - D. S. Vlachos; T. E. Simos (Comput. Phys. Commun., 2006)

Preface. - T. E. Simos; G. Psihoyios (Appl. Math. Comput., 2007)

Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems. - Theodoros Monovasilis; Zacharoula Kalogiratou; T. E. Simos (Comput. Phys. Commun., 2007)

Preface. - Tom E. Simos; Dimitrios D. Thomakos; Fragiskos A. Batzias (Math. Comput. Model., 2007)

High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems. - T. E. Simos (Comput. Phys. Commun., 2008)

A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods. - Theodoros Monovasilis; Zacharoula Kalogiratou; T. E. Simos (Appl. Math. Comput., 2009)

Preface. - Tom E. Simos (Appl. Math. Comput., 2009)

High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation. - T. E. Simos (Appl. Math. Comput., 2009)

Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. - T. E. Simos (Appl. Math. Lett., 2009)

Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge-Kutta-Nyström methods. - Zacharoula Kalogiratou; Theodoros Monovasilis; Tom E. Simos (Comput. Phys. Commun., 2009)

A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions. - D. F. Papadopoulos; Zacharias A. Anastassi; T. E. Simos (Comput. Phys. Commun., 2009)

P-stability, Trigonometric-fitting and the numerical solution of the radial Schrödinger equation. - T. E. Simos (Comput. Phys. Commun., 2009)

New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. - Zacharoula Kalogiratou; Theodoros Monovasilis; T. E. Simos (Comput. Math. Appl., 2010)

Symplectic Partitioned Runge-Kutta methods with minimal phase-lag. - Theodoros Monovasilis; Zacharoula Kalogiratou; Tom E. Simos (Comput. Phys. Commun., 2010)

A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems. - Stavros Stavroyiannis; T. E. Simos (Comput. Phys. Commun., 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 XY2 (X = O, S and Y = H, O, F, S, Cl) molecules. - Christos Christodouleas; Demetrios Xenides; Theodore E. Simos (J. Comput. Chem., 2010)

Preface. - T. E. Simos; G. Psihoyios; Zacharias A. Anastassi (Math. Comput. Model., 2010)

Algorithm 901: LMEF - A program for the construction of linear multistep methods with exponential fitting for the numerical solution of ordinary differential equations. - D. S. Vlachos; Tom E. Simos (ACM Trans. Math. Softw., 2010)

Preface. - Pawel Kosinski; Theodore E. Simos (Appl. Math. Comput., 2011)

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 (Comput. Math. Appl., 2011)

Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems. - Athinoula Kosti; Zacharias A. Anastassi; Tom E. Simos (Comput. Math. Appl., 2011)

On modified Runge-Kutta trees and methods. - Charalampos Tsitouras; Ioannis Th. Famelis; T. E. Simos (Comput. Math. Appl., 2011)

A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions. - Georgios Panopoulos; Zacharias A. Anastassi; Theodore E. Simos (Comput. Phys. Commun., 2011)

A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems. - Ibraheem Alolyan; Zacharias A. Anastassi; Tom E. Simos (Appl. Math. Comput., 2012)

Special issue on Numerical Analysis of Fluid Flow and Heat Transfer: Preface. - Pawel Kosinski; Theodore E. Simos (Appl. Math. Comput., 2012)

An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems. - Athinoula Kosti; Zacharias A. Anastassi; Tom E. Simos (Comput. Phys. Commun., 2012)

Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag. - Theodore E. Simos (J. Appl. Math., 2012)

A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems. - Zacharias A. Anastassi; Tom E. Simos (J. Comput. Appl. Math., 2012)

A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method. - Zacharoula Kalogiratou; Theodoros Monovasilis; Theodore E. Simos (Comput. Phys. Commun., 2014)

A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions. - Georgios Panopoulos; T. E. Simos (Comput. Phys. Commun., 2014)

High algebraic order Runge-Kutta type two-step method with vanished phase-lag and its first, second, third, fourth, fifth and sixth derivatives. - Hang Ning; T. E. Simos (Comput. Phys. Commun., 2015)

An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown. - Georgios Panopoulos; T. E. Simos (J. Comput. Appl. Math., 2015)

Preface to special issue of selected papers from the 9th International Symposium on Numerical Analysis of Fluid Flow and Heat Transfer - Numerical Fluids 2014. - Dia Zeidan; Theodore E. Simos (Appl. Math. Comput., 2016)

A new approach on the construction of trigonometrically fitted two step hybrid methods. - Zacharoula Kalogiratou; Theodoros Monovasilis; Higinio Ramos; T. E. Simos (J. Comput. Appl. Math., 2016)

An optimized two-step hybrid block method for solving general second order initial-value problems. - Higinio Ramos; Zacharoula Kalogiratou; Theodoros Monovasilis; T. E. Simos (Numer. Algorithms, 2016)

Phase-fitted Runge-Kutta pairs of orders 8(7). - Charalampos Tsitouras; Ioannis Th. Famelis; T. E. Simos (J. Comput. Appl. Math., 2017)

Bayesian inference of the fractional Ornstein-Uhlenbeck process under a flow sampling scheme. - Theodore E. Simos; Mike G. Tsionas (Comput. Stat., 2018)

Trigonometrical fitting conditions for two derivative Runge-Kutta methods. - Theodoros Monovasilis; Zacharoula Kalogiratou; T. E. Simos (Numer. Algorithms, 2018)

IEEE Access Special Section: Cyber-Physical Systems. - Remigiusz Wisniewski; Grzegorz Benysek; Luís Gomes 001; Dariusz Kania; Theodore E. Simos; Mengchu Zhou (IEEE Access, 2019)

Time-varying Black-Litterman portfolio optimization using a bio-inspired approach and neuronets. - Theodore E. Simos; Spyridon D. Mourtas; Vasilios N. Katsikis (Appl. Soft Comput., 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. - Dia Zeidan; Theodore E. Simos; Charis Harley; Ashoke De; Eric Goncalvès (Comput. Math. Appl., 2021)

Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems. - T. E. Simos; Charalampos Tsitouras (Numer. Algorithms, 2021)

Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks. - T. E. Simos; Charalampos Tsitouras (Neural Comput. Appl., 2021)

Numerical Solution of the Schrödinger Equation - Numerical Methods for Problems with Periodic or Oscillating Solution - Theodore E. Simos (Numerical Solution of the Schrödinger Equation, 2022)

A multi-input with multi-function activated weights and structure determination neuronet for classification problems and applications in firm fraud and loan approval. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas (Appl. Soft Comput., 2022)

A higher-order zeroing neural network for pseudoinversion of an arbitrary time-varying matrix with applications to mobile object localization. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas; Predrag S. Stanimirovic; Dimitrios Gerontitis (Inf. Sci., 2022)

On high order Runge-Kutta-Nyström pairs. - Theodore E. Simos; Charalampos Tsitouras (J. Comput. Appl. Math., 2022)

Finite-time convergent zeroing neural network for solving time-varying algebraic Riccati equations. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas; Predrag S. Stanimirovic (J. Frankl. Inst., 2022)

Multi-input bio-inspired weights and structure determination neuronet with applications in European Central Bank publications. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas (Math. Comput. Simul., 2022)

Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas; Predrag S. Stanimirovic (Math. Comput. Simul., 2022)

A neural network training algorithm for singular perturbation boundary value problems. - T. E. Simos; Ioannis Th. Famelis (Neural Comput. Appl., 2022)

A fuzzy WASD neuronet with application in breast cancer prediction. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas (Neural Comput. Appl., 2022)

Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems. - Vladislav N. Kovalnogov; Ruslan V. Fedorov; M. T. Karpukhina; M. I. Kornilova; T. E. Simos; Charalampos Tsitouras (J. Comput. Appl. Math., 2023)

Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics. - Theodore E. Simos; Vasilios N. Katsikis; Spyridon D. Mourtas; Predrag S. Stanimirovic (IEEE Trans. Syst. Man Cybern. Syst., 2023)

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. - Theodore E. Simos (Axioms, 2024)

Economical handling of Runge-Kutta-Nyström step rejection. - Vladislav N. Kovalnogov; Ruslan V. Fedorov; M. T. Karpukhina; M. I. Kornilova; T. E. Simos; Charalampos Tsitouras (J. Comput. Appl. Math., 2024)

Runge-Kutta pairs of orders 9(8) for use in quadruple precision computations. - Vladislav N. Kovalnogov; Ruslan V. Fedorov; Tamara V. Karpukhina; Theodore E. Simos; Charalampos Tsitouras (Numer. Algorithms, 2024)

Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor-Corrector Algorithms. - Theodore E. Simos (Symmetry, 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. - Theodore E. Simos (Axioms, 2024)

Solving Lur'e equations through zeroing neural networks. - Yu He; Xiaojuan Wang; Yafei Tie; Huanqi Yang; Theodore E. Simos; Spyridon D. Mourtas; Vasilios N. Katsikis (Inf. Sci., 2025)