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Numerical Methods for the Eigenvalues of Delay Differential Equations

Author: BiDe（Kun Jr. Peter Weah）
Tutor: XuYingXiang
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Delay Differential Eigenvalue problem Delay differential equations operator Numerical Methods Semi-discrete format Ordinary Differential Equations Strongly continuous Semigroup Tridiagonalizing defined matrix Delay systems semigroup Infinitesimal Lambert delay solution where Resolvent operator
CLC: O175.9
Type: Master's thesis
Year: 2010
Downloads: 44
Quote: 0
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Abstract


This is a discussion of the review article of the of Delay Differential eigenvalue problem numerical methods . Consider Delay Differential eigenvalue approximation method . First , by the time delay differential equations to express abstract ordinary differential equations based on the solution of this linear Delay Differential operator as well as by its strong solution defined continuous classes semigroup infinitesimal generator characterized value of the semi-discrete approximation format , Runge - Kutta algorithm , and pseudo-spectral approximation . Linear Delay Differential coefficient matrix simultaneously diagonalized in the last part of the article , when we use the Lambert W function to consider the explicit expression of the eigenvalue problem of the delay system .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Eigenvalue and the eigenvalue function
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