Stability of Linear Delay Differential Equations by Dimitri Breda Stefano Maset & Rossana Vermiglio

Author:Dimitri Breda, Stefano Maset & Rossana Vermiglio
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

6.1.1.1 The Case

For a given positive integer , we introduce the mesh in

where and set as the discretization of the space . This is very similar to the discretization of introduced for the pseudospectral differentiation method of the IG approach as in Chap. 5, but here is no longer required. An element is written as , where , .

The restriction operator is given by

In other words, the restriction makes discrete a continuous function by considering its values at the nodes .

The prolongation operator is the discrete Lagrange interpolation operator:

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