22 citations · 41 across the 14 of their papers we have counts for
14 papers
Local Path Fitting: A New Approach to Variational Integrators
D S Vlachos, O T Kosmas
In this work, we present a new approach to the construction of variational integrators. In the general case, the estimation of the action integral in a time interval $[q_k,q_{k+1}]…
High Order Phase-fitted Discrete Lagrangian Integrators for Orbital Problems
O. T. Kosmas, D. S. Vlachos
In this work, the benefits of the phase fitting technique are embedded in high order discrete Lagrangian integrators. The proposed methodology creates integrators with zero phase l…
Phase-fitted Discrete Lagrangian Integrators
O. T. Kosmas, D. S. Vlachos
Phase fitting has been extensively used during the last years to improve the behaviour of numerical integrators on oscillatory problems. In this work, the benefits of the phase fit…
High Order Phase Fitted Multistep Integrators for the Schrödinger Equation with Improved Frequency Tolerance
D. S. Vlachos, Z. A. Anastassi, T. E. Simos
In this work we introduce a new family of 14-steps linear multistep methods for the integration of the Schrödinger equation. The new methods are phase fitted but they are designed…
High Order Multistep Methods with Improved Phase-Lag Characteristics for the Integration of the Schrödinger Equation
D. S. Vlachos, Z. A. Anastassi, T. E. Simos
In this work we introduce a new family of twelve-step linear multistep methods for the integration of the Schrödinger equation. The new methods are constructed by adopting a new me…
A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation
Z. A. Anastassi, D. S. Vlachos, T. E. Simos
In the present paper we introduce a new methodology for the construction of numerical methods for the approximate solution of the one-dimensional Schrödinger equation. The new meth…