Akil Narayan
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A stochastic collocation algorithm with multifidelity models
A Narayan, C Gittelson, D Xiu
SIAM Journal on Scientific Computing 36 (2), A495-A521, 2014
1202014
Adaptive Leja sparse grid constructions for stochastic collocation and high-dimensional approximation
A Narayan, JD Jakeman
SIAM Journal on Scientific Computing 36 (6), A2952-A2983, 2014
932014
Stochastic collocation methods on unstructured grids in high dimensions via interpolation
A Narayan, D Xiu
SIAM Journal on Scientific Computing 34 (3), A1729-A1752, 2012
792012
Computational aspects of stochastic collocation with multifidelity models
X Zhu, A Narayan, D Xiu
SIAM/ASA Journal on Uncertainty Quantification 2 (1), 444-463, 2014
702014
A Christoffel function weighted least squares algorithm for collocation approximations
A Narayan, J Jakeman, T Zhou
Mathematics of Computation 86 (306), 1913-1947, 2017
662017
A generalized sampling and preconditioning scheme for sparse approximation of polynomial chaos expansions
JD Jakeman, A Narayan, T Zhou
SIAM Journal on Scientific Computing 39 (3), A1114-A1144, 2017
572017
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions
JD Jakeman, A Narayan, D Xiu
Journal of Computational Physics 242, 790-808, 2013
472013
Stochastic collocation on unstructured multivariate meshes
A Narayan, T Zhou
Communications in Computational Physics 18 (1), 1-36, 2015
452015
Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction
J Hampton, HR Fairbanks, A Narayan, A Doostan
Journal of Computational Physics 368, 315-332, 2018
422018
Effectively subsampled quadratures for least squares polynomial approximations
P Seshadri, A Narayan, S Mahadevan
SIAM/ASA Journal on Uncertainty Quantification 5 (1), 1003-1023, 2017
382017
Numerical integration in multiple dimensions with designed quadrature
V Keshavarzzadeh, RM Kirby, A Narayan
SIAM Journal on Scientific Computing 40 (4), A2033-A2061, 2018
372018
Multivariate discrete least-squares approximations with a new type of collocation grid
T Zhou, A Narayan, Z Xu
SIAM Journal on Scientific Computing 36 (5), A2401-A2422, 2014
322014
Weighted discrete least-squares polynomial approximation using randomized quadratures
T Zhou, A Narayan, D Xiu
Journal of Computational Physics 298, 787-800, 2015
302015
Polynomial chaos expansions for dependent random variables
JD Jakeman, F Franzelin, A Narayan, M Eldred, D Plfüger
Computer Methods in Applied Mechanics and Engineering 351, 643-666, 2019
262019
A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions
L Guo, A Narayan, T Zhou
Journal of Computational Physics 367, 49-64, 2018
252018
Constructing nested nodal sets for multivariate polynomial interpolation
A Narayan, D Xiu
SIAM Journal on Scientific Computing 35 (5), A2293-A2315, 2013
222013
Generation and application of multivariate polynomial quadrature rules
JD Jakeman, A Narayan
Computer Methods in Applied Mechanics and Engineering 338, 134-161, 2018
202018
A reduced radial basis function method for partial differential equations on irregular domains
Y Chen, S Gottlieb, A Heryudono, A Narayan
Journal of Scientific Computing 66 (1), 67-90, 2016
202016
Stochastic Collocation Methods via Minimization Using Randomized Quadratures
L Guo, A Narayan, T Zhou, Y Chen
SIAM Journal on Scientific Computing 39 (1), A333-A359, 2017
182017
Compressed sensing with sparse corruptions: Fault-tolerant sparse collocation approximations
B Adcock, A Bao, JD Jakeman, A Narayan
SIAM/ASA Journal on Uncertainty Quantification 6 (4), 1424-1453, 2018
172018
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