Cubature on C^1 space
We explore in this paper cubature formulas over the space of functions having a first continuous derivative, i.e., C^1. We show that known cubature formulas are not optimal in this case and explain what is the origin of the loss of optimality and how to construct optimal ones; to illustrate we give cubature formulas up to (including) order 9.
|Date of creation:||01 Jun 2013|
|Date of revision:|
|Publication status:||Published, Control and Optimization with PDE Constraints, Springer Basel (Ed.), 2013, 159-172|
|Note:||View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00660875|
|Contact details of provider:|| Web page: http://hal.archives-ouvertes.fr/ |
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