A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation

2015 ◽  
Vol 54 (2) ◽  
pp. 442-465 ◽  
Author(s):  
Zhou Zhou ◽  
T. E. Simos
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Schrodinger Equation ◽  
Phase Lag ◽  
Step Method ◽  
Two Stage ◽  
Radial Schrödinger Equation

scholarly journals Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
T. E. Simos
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Schrodinger Equation ◽  
Phase Lag ◽  
Step Method ◽  
Oscillating Solutions ◽  
Radial Schrödinger Equation

We use a methodology of optimization of the efficiency of a hybrid two-step method for the numerical solution of the radial Schrödinger equation and related problems with periodic or oscillating solutions. More specifically, we study how the vanishing of the phase-lag and its derivatives optimizes the efficiency of the hybrid two-step method.

Sign in / Sign up

Export Citation Format

Share Document