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Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions (2018)
Journal Article
Clavijo, S., Sarmiento, A., Espath, L., Dalcin, L., Cortes, A., & Calo, V. (2019). Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions. Journal of Computational and Applied Mathematics, 350, 143-154. https://doi.org/10.1016/j.cam.2018.10.007

We introduce a multicomponent Cahn–Hilliard system with multiple reversible chemical reactions. We derive the conservation laws of the multicomponent system within the thermodynamical constraints. Furthermore, we consider multiple chemical reactions... Read More about Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions.

Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain (2018)
Journal Article
Beck, J., Dia, B. M., Espath, L. F., Long, Q., & Tempone, R. (2018). Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain. Computer Methods in Applied Mechanics and Engineering, 334, 523-553. https://doi.org/10.1016/j.cma.2018.01.053

In calculating expected information gain in optimal Bayesian experimental design, the computation of the inner loop in the classical double-loop Monte Carlo requires a large number of samples and suffers from underflow if the number of samples is sma... Read More about Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain.