perturbation theory


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perturbation theory

[‚pər·tər′bā·shən ‚thē·ə·rē]
(mathematics)
The study of the solutions of differential and partial differential equations from the viewpoint of perturbation of solutions.
(physics)
The theory of obtaining approximate solutions to the equations of motion of a physical system when these equations differ by a small amount from equations which can be solved exactly.
References in periodicals archive ?
The experimental results show that the multicast tree based on perturbation theory can describe multicast stability well.
Sun, Matrix Perturbation Theory, Computer Science and Scientific Computing, Academic Press, New York, NY, USA, 1990.
Using Le Verrier's perturbation theory to speed up time-consuming computer calculations of many possible configurations of planetary orbits, the HEK team showed that the observed variations can be best explained by an unseen planet about the mass of Saturn that orbits the host star every 57 days.
Via a blow up we establish a bridge between non-smooth dynamical systems and the geometric singular perturbation theory.
Perturbation Theory and Control in Classical or Quantum Mechanics by an Inversion Formula.
The soliton perturbation theory is utilized to carry out this investigation.
Bounds on the deviation from perfect reconstruction are obtained for approximately dual frames constructed via perturbation theory.
Kato, Perturbation theory for linear operator, Springer-Verlag New York Inc.
It is easy to see, in the first-order of the perturbation theory, that the wavefunctions are labelled by momentum p, and are plane waves with a weak admixture of plane waves of the order of h; we denote them by '(p).
Presenting the mathematical methods of perturbation theory, this book reviews the most important methods of singular perturbations within the scope of application of differential equations.
In this paper, a comprehensive treatment of analytic Rayleigh-Schrodinger perturbation theory for the symmetric definite generalized eigenvalue problem [1, 2] is furnished with emphasis on the degenerate problem.