Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications
(Sprache: Englisch)
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Inhaltsverzeichnis zu „Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications “
I The Fokker-Planck Equation.- 1. Dynamical Systems Perturbed by Noise: the Langevin Equation.- 2. The Fokker-Planck Equation: First Exit from a Domain.- 3. The Fokker-Planck Equation: One Dimension.- II Asymptotic Solution of the Exit Problem.- 4. Singular Perturbation Analysis of the Differential Equations for the Exit Probability and Exit Time in One Dimension.- 5. The Fokker-Planck Equation in Several Dimensions: the Asymptotic Exit Problem.- III Applications.- 6. Dispersive Groundwater Flow and Pollution.- 7. Extinction in Systems of Interacting Biological Populations.- 8. Stochastic Oscillation.- 9. Confidence Domain, Return Time and Control.- 10. A Markov Chain Approximation of the Stochastic Dynamical System.- Literature.- Answers to Exercises.- Author Index.
Bibliographische Angaben
- Autoren: Johan Grasman , Onno A., van Herwaarden
- 2010, IX, 220 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642084095
- ISBN-13: 9783642084096
Sprache:
Englisch
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