Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/65315
Authors: 
Gilsing, Hagen
Year of Publication: 
2002
Series/Report no.: 
Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 2002,59
Abstract: 
Numerical solutions of SDDE often reflect to only a limited extent the exact solution behaviour. Hence it is necessary to identify those parameters of SDDE and algorithm for which a numerical method in use is reliable. For affine SDDE test equations, there exist estimates of the stability regions of a numerical method. However, these results rely on bounds for covariance terms. In this paper exact hut high dimensional stochastic affine (linear) recurrence relations are derived for some p > 1. A reduction method presented here allows the representation of the corresponding characteristic polynomial as a determinant of a matrix of polynomial coefficients and lower dimension. This can be used to compute non-zero coefficients of the characteristic polynomial for application to stability questions concerning SDDE. A number of areas where work is continuing is indicated.
Subjects: 
recurrence relation
stochastic recurrence relation
SDDE
SFDE
stochastic delay equations
numerical algorithms
stability
stability regions
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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