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Artículo
Recursive POD expansion for the advection-diffusion-reaction equation
(Global Science Press, 2018-11)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, ...
Artículo
A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems
(Society for Industrial and Applied Mathematics, 2018)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential equations. For any given dimension, we prove the existence of an optimal subspace of at most ...