Publications by the researcher in collaboration with Theodore E. Simos (27)

2017

  1. Modified two-step hybrid methods for the numerical integration of oscillatory problems

    Mathematical Methods in the Applied Sciences, Vol. 40, Núm. 14, pp. 5286-5294

2016

  1. A new approach on the construction of trigonometrically fitted two step hybrid methods

    Journal of Computational and Applied Mathematics, Vol. 303, pp. 146-155

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

    Numerical Algorithms, Vol. 72, Núm. 4, pp. 1089-1102

2015

  1. A new approach on the construction of trigonometrically fitted two step hybrid methods

    AIP Conference Proceedings

  2. A trigonometrically fitted optimized two-step hybrid block method for solving initial-value problems of the form y ″ = f (x, y, y ′) with oscillatory solutions

    AIP Conference Proceedings

  3. An optimized two-step hybrid block method for solving general second order initial-value problems of the form y ″ = f (x, y, y ′)

    AIP Conference Proceedings

  4. Trigonometrically fitted two step hybrid methods for the numerical solution of the Schrödinger equation

    AIP Conference Proceedings

2005

  1. Mathematical and Computer Modelling: Preface

    Mathematical and Computer Modelling

  2. Review of multistep methods for the numerical solution of the radial schrödinger equation

    International Journal of Quantum Chemistry, Vol. 103, Núm. 3, pp. 278-290

2004

  1. Controlling the error growth in long-term numerical integration of perturbed oscillations in one or several frequencies

    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 460, Núm. 2042, pp. 561-567

2003

  1. A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems

    Computer Physics Communications, Vol. 152, Núm. 3, pp. 274-294

  2. Computers and Mathematics with Applications: Preface

    Computers and Mathematics with Applications

  3. Exponentially fitted symplectic integrator

    Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, Núm. 1, pp. 7

  4. Exponentially fitted symplectic integrator

    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, Núm. 1 2, pp. 167011-167017

2002

  1. Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation

    Journal of Mathematical Chemistry, Vol. 32, Núm. 3, pp. 257-270

  2. Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation

    Journal of Mathematical Chemistry, Vol. 31, Núm. 2, pp. 135-144

2001

  1. A family of P-stable eighth algebraic order methods with exponential fitting facilities

    Journal of Mathematical Chemistry, Vol. 29, Núm. 3, pp. 177-189

  2. A modified Runge—Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems

    Computers and Chemistry, Vol. 25, Núm. 3, pp. 275-281

  3. A modified phase-fitted Runge - Kutta method for the numerical solution of the Schrödinger equation

    Journal of Mathematical Chemistry, Vol. 30, Núm. 1, pp. 121-131

  4. A symmetric high order method with minimal phase-lag for the numerical solution of the Schrödinger equation

    International Journal of Modern Physics C, Vol. 12, Núm. 7, pp. 1035-1042