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Cubature on C^1 space

Listed author(s):
  • Gabriel Turinici


    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Centre National de la Recherche Scientifique - Université Paris-Dauphine)

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    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.

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    Paper provided by HAL in its series Post-Print with number hal-00660875.

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    Date of creation: 01 Jun 2013
    Publication status: Published in Kristian Bredies, Christian Clason, Karl Kunisch, Gregory Winckel. Control and Optimization with PDE Constraints, Springer Basel, pp.159-172, 2013, International Series of Numerical Mathematics, 978-3-0348-0630-5. <10.1007/978-3-0348-0631-2_9>
    Handle: RePEc:hal:journl:hal-00660875
    DOI: 10.1007/978-3-0348-0631-2_9
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