Spatially adaptive multiwavelet representations on unstructured grids with applications to multidimensional computational modeling. - Julio Enrique Castrillón-Candás (2001)

Fast estimation of continuous Karhunen-Loeve eigenfunctions using wavelets. - Julio Enrique Castrillón-Candás; Kevin Amaratunga (IEEE Trans. Signal Process., 2002)

Spatially Adapted Multiwavelets and Sparse Representation of Integral Equations on General Geometries. - Julio Enrique Castrillón-Candás; Kevin Amaratunga (SIAM J. Sci. Comput., 2003)

A Discrete Adapted Hierarchical Basis Solver For Radial Basis Function Interpolation - Julio Enrique Castrillón-Candás; Jun Li; Victor Eijkhout (CoRR, 2011)

Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. - Julio Enrique Castrillón-Candás; Fabio Nobile; Raúl Tempone (Comput. Math. Appl., 2016)

Analytic regularity and stochastic collocation of high-dimensional Newton iterates. - Julio Enrique Castrillón-Candás; Mark A. Kon (Adv. Comput. Math., 2020)

A hybrid collocation-perturbation approach for PDEs with random domains. - Julio Enrique Castrillón-Candás; Fabio Nobile; Raúl Tempone (Adv. Comput. Math., 2021)

A stochastic collocation approach for parabolic PDEs with random domain deformations. - Julio Enrique Castrillón-Candás; Jie Xu 018 (Comput. Math. Appl., 2021)

Existence of Strong Solution for the Complexified Non-linear Poisson Boltzmann Equation. - Brian Choi; Jie Xu 018; Trevor Norton; Mark A. Kon; Julio Enrique Castrillón-Candás (CoRR, 2021)

Stochastic functional analysis with applications to robust machine learning. - Julio Enrique Castrillón-Candás; Dingning Liu; Mark A. Kon (CoRR, 2021)

Stochastic Functional Analysis and Multilevel Vector Field Anomaly Detection. - Julio Enrique Castrillón-Candás; Mark A. Kon (CoRR, 2022)

Anomaly detection: A functional analysis perspective. - Julio Enrique Castrillón-Candás; Mark A. Kon (J. Multivar. Anal., 2022)

Analytic regularity of strong solutions for the complexified stochastic non-linear Poisson Boltzmann Equation. - Brian Choi; Jie Xu 018; Trevor Norton; Mark A. Kon; Julio Enrique Castrillón-Candás (CoRR, 2023)

Uncertainty quantification and complex analyticity of the nonlinear Poisson-Boltzmann equation for the interface problem with random domains. - Trevor Norton; Jie Xu 018; Brian Choi; Mark A. Kon; Julio Enrique Castrillón-Candás (CoRR, 2023)

Multilevel Stochastic Optimization for Imputation in Massive Medical Data Records. - Wenrui Li; Xiaoyu Wang; Yuetian Sun; Snezana Milanovic; Mark A. Kon; Julio Enrique Castrillón-Candás (IEEE Trans. Big Data, 2024)

Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets. - Julio Enrique Castrillón-Candás (Adv. Comput. Math., 2024)