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Titlebook: Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications; Johan Grasman,Onno A. Herwaarden Book 1999 Springe

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发表于 2025-3-21 18:06:14 | 显示全部楼层 |阅读模式
期刊全称Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications
影响因子2023Johan Grasman,Onno A. Herwaarden
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发行地址This is probably the first monograph that treats the asympotic methods which are eminently important for practical applications.Includes supplementary material:
学科分类Springer Series in Synergetics
图书封面Titlebook: Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications;  Johan Grasman,Onno A. Herwaarden Book 1999 Springe
影响因子Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations. This book deals with nonlinear dynamical systems perturbed by noise. It addresses problems in which noise leads to qualitative changes, escape from the attraction domain, or extinction in population dynamics. The most likely exit point and expected escape time are determined with singular perturbation methods for the corresponding Fokker-Planck equation. The authors indicate how their techniques relate to the Itô calculus applied to the Langevin equation. The book will be useful to researchers and graduate students.
Pindex Book 1999
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J. W. Bakker,W. P. Roever,G. Rozenbergentration function for a pollutant is interpreted as the space-time probability density function for a contaminated water particle as it makes a random walk. We will take .. and .. constant. The method also applies to spatial heterogeneous dispersion constants, see Van Kooten (1996).
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Essentials of Object-Oriented Programming,given a starting point somewhere outside the domain. The approximation for the return time appears to be independent of this starting point. The return time is related to the notion of resilience that is used in ecology, see Sect. 9.2.
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Dispersive Groundwater Flow and Pollutionentration function for a pollutant is interpreted as the space-time probability density function for a contaminated water particle as it makes a random walk. We will take .. and .. constant. The method also applies to spatial heterogeneous dispersion constants, see Van Kooten (1996).
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Foundations of Nursing Practicexact solution. We choose to carry out a singular perturbation analysis because this method can be employed in higher dimensional problems for which an exact solution is not available. The present class of one-dimensional problems offers an excellent opportunity to develop the appropriate tools and to explore the scope of the method.
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Essentials of Object-Oriented Programming,m of extinction of one population within a system of interacting populations can be approached in a more conceivable way using a stochastic logistic approximation. Other biological applications of stochastic exit are found in Capocelli and Ricciardi (1971), Ebeling and Engel-Herbert (1982), and Cobb and Zacks (1985).
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