Publication: A one-time truncate and encode multiresolution stochastic framework
A one-time truncate and encode multiresolution stochastic framework
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Abgrall, R., Congedo, P. M., & Geraci, G. (2014). A one-time truncate and encode multiresolution stochastic framework. Journal of Computational Physics, 257(Part A), 19–56. https://doi.org/10.1016/j.jcp.2013.08.006
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In this work a novel adaptive strategy for stochastic problems, inspired from the classical Hartenʼs framework, is presented. The proposed algorithm allows building, in a very general manner, stochastic numerical schemes starting from a whatever type of deterministic schemes and handling a large class of problems, from unsteady to discontinuous solutions. Its formulations permits to recover the same results concerning the interpolation theory of the classical multiresolution approach, but with an extension to uncertainty quantificatio
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Abgrall, R., Congedo, P. M., & Geraci, G. (2014). A one-time truncate and encode multiresolution stochastic framework. Journal of Computational Physics, 257(Part A), 19–56. https://doi.org/10.1016/j.jcp.2013.08.006