Publication: A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations
A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations
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Geraci, G., Congedo, P. M., Abgrall, R., & Iaccarino, G. (2016). A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Journal of Scientific Computing, 66(1), 358–405. https://doi.org/10.1007/s10915-015-0026-3
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In this paper, a novel multiresolution framework, namely the Truncate and Encode (TE) approach, previously proposed by some of the authors (Abgrall et al. in J Comput Phys 257:19–56, 2014. doi:10.1016/j.jcp.2013.08.006), [Titel anhand dieser DOI in Citavi-Projekt übernehmen] is generalized and extended for taking into account uncertainty in partial differential equations (PDEs). Innovative ingredients are given by an algorithm permitting to recover the multiresolution representation without requiring the fully resolved solution, the p
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- Geraci, Gianluca
- Congedo, Pietro Marco
- Iaccarino, Gianluca
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Geraci, G., Congedo, P. M., Abgrall, R., & Iaccarino, G. (2016). A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. Journal of Scientific Computing, 66(1), 358–405. https://doi.org/10.1007/s10915-015-0026-3