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https://github.com/jagot/magnus


https://github.com/jagot/magnus

chebyshev exponentiation krylov krylov-methods propagators

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#+TITLE: Magnus propagators
#+AUTHOR: Stefanos Carlström
#+EMAIL: [email protected]

* Introduction
An implementation of Magnus propagators for the solution of partial
differential equations of the type y' = Ay.

* Road map
- Integrators:
- [X] Midpoint (trapezoidal)
- [-] CFET4
Alvermann, A., Fehske, H., & Littlewood, P. B. (2012). Numerical
time propagation of quantum systems in radiation fields. New Journal
of Physics, 14(10), 105008. DOI: [[http://dx.doi.org/10.1088/1367-2630/14/10/105008][10.1088/1367-2630/14/10/105008]]
- [-] Exponentiators:
- [X] Hermitian Lanczos
- [ ] Arnoldi
- Subspace exponential
- [ ] Tridiagonal LU factorization
- [X] Chebyshev