Symplectic Methods of Fifth Order for the Numerical Solution of the Radial Shrödinger Equation

By K. Tselios, T. E. Simos. 2004

78 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/bd77ab7fc8f66c091c630c5fcf61b1b214bb0f36

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Ibraheem Alolyan
2. Zacharias A. Anastassi
3. Athinoula Kosti
4. T. E. Simos
5. Charalambos Tsitouras
6. Jing Ma

In Electrical and Electronic Engineering

1. Ibraheem Alolyan
2. T. E. Simos
3. Athinoula Kosti
4. Zacharias A. Anastassi
5. Charalambos Tsitouras
6. Kenan Mu
7. Jing Ma
8. D. Papadopoulos

In Numerical Analysis

1. Ibraheem Alolyan
2. T. E. Simos
3. Athinoula Kosti
4. Zacharias A. Anastassi
5. Charalambos Tsitouras
6. Ke Yan
7. Kenan Mu
8. D. Papadopoulos

Citations in the corpus

• An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems (2009, methodology): “Many methods have been developed for the numerical approximation of the above problem (for more details see [1–49]).”
• A family of explicit linear six-step methods with vanished phase-lag and its first derivative (2014, methodology): “(see for more details [1–121] and references therein).”
• Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation (2010, methodology): “–I n [ 61 ] numerical methods fitted to other functions than exponential or trigonometric is presented.”
• High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation (2012, methodology): “– Symplectic integrators are studied in [54–80].”