The Magnus expansion and some of its applications

  title={The Magnus expansion and some of its applications},
  author={SYMPLECTICINTEGRATORSS. Blanes and Fernando Casas and Jose A Oteo and Javier Ros},
Approximate resolution of linear systems of differential equationswith varying coefficients is a recurrent problem, shared by a number of scientific and engineering areas, ranging from QuantumMechanics to Control Theory. When formulated in operator or matrix form, the Magnus expansion furnishes an elegant setting to build up approximate exponential representations of the solution of the system. It provides a power series expansion for the corresponding exponent and is sometimes referred to as… CONTINUE READING
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On backward error analysis and Nekhoroshev stability in the numerical analysis of conservative systems of ODEs

  • P. C. Moan
  • Ph.D. Thesis, University of Cambridge
  • 2002
Highly Influential
10 Excerpts

Efficient approximation of Sturm–Liouville problems using Lie-group methods

  • P. C. Moan
  • Technical Report 1998/NA11, Department of Applied…
  • 1998
Highly Influential
14 Excerpts

Classical Hamiltonian structures in wave packet dynamics

  • S. Gray, J. M. Verosky
  • J. Chem. Phys. 100
  • 1994
Highly Influential
20 Excerpts

Oteo, Magnus expansion and the two-neutrino oscillations in matter

  • J.A.J.C. D’olivo
  • Phys. Rev. D
  • 1990
Highly Influential
11 Excerpts

On exponential approximations for the evolution operator

  • D. Voslamber
  • J. Math. Anal. Appl. 37
  • 1972
Highly Influential
11 Excerpts

Exponential operators and parameter differentiation in quantum physics

  • R. M. Wilcox
  • J. Math. Phys. 8
  • 1967
Highly Influential
20 Excerpts

Note on global validity of the Baker–Hausdorff and Magnus theorems

  • J. Wei
  • J. Math. Phys. 4
  • 1963
Highly Influential
8 Excerpts

Mathematical aspects of the quantum theory of fields

  • K. O. Friedrichs
  • part V, Commun. Pure Appl. Math. VI
  • 1953
Highly Influential
11 Excerpts

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