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Introduction
Propagation Methods
Andreas Markmann
Introduction
Evaluation of
[1]
Local and semilocal representation of Laplace-
Global representation of
and Fast Fourier Transform
Discrete Variable Representation (DVR) [1], [5]
Comparison
Propagation methods [2]
Newtonian Interpolation
Error Analysis
Overview
The Second Order Differencing scheme (SOD) [3]
Analysis of the SOD method
The Split-Operator method (SPO)
The Chebyshev method
Example 1: Propagation operator.
Example 2: Relaxation method.
The Lanczos recursion scheme
Appendix
Gaussian integration
Proof of the Chebyshev method (propagation)
Bibliography
About this document ...
Andreas Markmann 2003-10-22
[1]
and Fast
Fourier Transform