A. Narayan

Most-cited papers

Polynomial chaos expansions for dependent random variables
J. Jakeman, F. Franzelin, A. Narayan, M. Eldred +1 more
2019Computer Methods in Applied Mechanics and Engineering98 citations Open access
Semantic Scholar
A metalearning approach for Physics-Informed Neural Networks (PINNs): Application to parameterized PDEs
Michael Penwarden, Shan-Dian Zhe, A. Narayan, Robert M. Kirby
2021Journal of Computational Physics89 citations Open access
Semantic Scholar
Multifidelity Modeling for Physics-Informed Neural Networks (PINNs)
Michael Penwarden, Shan-Dian Zhe, A. Narayan, Robert M. Kirby
2021Journal of Computational Physics77 citations Open access
Semantic Scholar
A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions
J. Jakeman, A. Narayan, Tao Zhou
2016SIAM Journal on Scientific Computing70 citations Open access
Semantic Scholar
Flexibility Reserve in Power Systems: Definition and Stochastic Multi-Fidelity Optimization
Roohallah Khatami, M. Parvania, A. Narayan
2020IEEE Transactions on Smart Grid62 citations Open access
Semantic Scholar
Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction
Jerrad Hampton, Hillary R. Fairbanks, A. Narayan, A. Doostan
2018Journal of Computational Physics56 citations Open access
Semantic Scholar
Numerical Integration in Multiple Dimensions with Designed Quadrature
Vahid Keshavarzzadeh, R. Kirby, A. Narayan
2018SIAM Journal on Scientific Computing55 citations Open access
Semantic Scholar
Constructing Least-Squares Polynomial Approximations
Ling Guo, A. Narayan, Tao Zhou
2020SIAM Review47 citations Open access
Semantic Scholar
Effectively Subsampled Quadratures for Least Squares Polynomial Approximations
Pranay Seshadri, A. Narayan, S. Mahadevan
2016SIAM/ASA J. Uncertain. Quantification43 citations Open access
Semantic Scholar
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces
Varun Shankar, A. Narayan, R. Kirby
2018Journal of Computational Physics40 citations Open access
Semantic Scholar
A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions
Ling Guo, A. Narayan, Tao Zhou
2018Journal of Computational Physics38 citations Open access
Semantic Scholar
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
Varun Shankar, G. Wright, A. Narayan
2019SIAM Journal on Scientific Computing36 citations Open access
Semantic Scholar
Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations
B. Adcock, Anyi Bao, J. Jakeman, A. Narayan
2017SIAM/ASA J. Uncertain. Quantification35 citations Open access
Semantic Scholar
UncertainSCI: Uncertainty quantification for computational models in biomedicine and bioengineering
A. Narayan, Ze-Xin Liu, Jake A. Bergquist, Chantel M. Charlebois +6 more
2022Comput. Biol. Medicine33 citations Open access
Semantic Scholar
Parametric topology optimization with multiresolution finite element models
Vahid Keshavarzzadeh, R. Kirby, A. Narayan
2018International Journal for Numerical Methods in Engineering32 citations Open access
Semantic Scholar
Balanced Truncation for Model Order Reduction of Linear Dynamical Systems with Quadratic Outputs
R. Pulch, A. Narayan
2017SIAM Journal on Scientific Computing32 citations Open access
Semantic Scholar
Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation
Ling Guo, A. Narayan, Liang Yan, Tao Zhou
2017SIAM Journal on Scientific Computing30 citations Open access
Semantic Scholar
Stress-based topology optimization under uncertainty via simulation-based Gaussian process
Vahid Keshavarzzadeh, R. Kirby, A. Narayan
202028 citations Open access
Semantic Scholar
A robust error estimator and a residual-free error indicator for reduced basis methods
Yan-Lai Chen, Jia-Hua Jiang, A. Narayan
2017Computers and Mathematics with Applications27 citations Open access
Semantic Scholar
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
Dihan Dai, Y. Epshteyn, A. Narayan
2020SIAM Journal on Scientific Computing24 citations Open access
Semantic Scholar
Efficient sampling for polynomial chaos-based uncertainty quantification and sensitivity analysis using weighted approximate Fekete points
Kyle M. Burk, A. Narayan, J. Orr
2020International Journal for Numerical Methods in Biomedical Engineering24 citations Open access
Semantic Scholar
Bayesian Continuous-Time Tucker Decomposition
Shikai Fang, A. Narayan, Robert M. Kirby, Shan-Dian Zhe
2022International Conference on Machine Learning23 citations
Semantic Scholar
Fast predictive models based on multi-fidelity sampling of properties in molecular dynamics simulations
M. Razi, A. Narayan, R. Kirby, D. Bedrov
2018Computational materials science21 citations
Semantic Scholar
Stochastic collocation methods via $L_1$ minimization using randomized quadratures
Ling Guo, A. Narayan, Tao Zhou, Yuhang Chen
201621 citations
Semantic Scholar
Uncertainty Quantification of the Effects of Segmentation Variability in ECGI
J. Tate, W. Good, N. Zemzemi, M. Boonstra +4 more
2021Functional Imaging and Modeling of the Heart20 citations Open access
Semantic Scholar
Physics-Informed Neural Networks (PINNs) for Parameterized PDEs: A Metalearning Approach
Michael Penwarden, Shan-Dian Zhe, A. Narayan, Robert M. Kirby
2021Social Science Research Network20 citations Open access
Semantic Scholar
Computation of Induced Orthogonal Polynomial Distributions
A. Narayan
201720 citations Open access
Semantic Scholar
Generation and application of multivariate polynomial quadrature rules
J. Jakeman, A. Narayan
2017Computer Methods in Applied Mechanics and Engineering20 citations Open access
Semantic Scholar
TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs
Yan-Lai Chen, Ya-Jie Ji, A. Narayan, Zhen-Li Xu
2024Computer Methods in Applied Mechanics and Engineering19 citations
Semantic Scholar
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations
Dihan Dai, Y. Epshteyn, A. Narayan
2021Journal of Computational Physics19 citations Open access
Semantic Scholar
L1-Based Reduced Over Collocation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations
Yan-Lai Chen, Lijie Ji, A. Narayan, Zhen-Li Xu
2020Journal of Scientific Computing18 citations Open access
Semantic Scholar
Uncertainty quantification for ecological models with random parameters.
J. Reimer, F. Adler, K. Golden, A. Narayan
2022Ecology Letters17 citations Open access
Semantic Scholar
Allocation strategies for high fidelity models in the multifidelity regime
Daniel J. Perry, R. Kirby, A. Narayan, R. Whitaker
2018SIAM/ASA J. Uncertain. Quantification15 citations Open access
Semantic Scholar
Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set
Jia-Hua Jiang, Yan-Lai Chen, A. Narayan
2017Journal of Scientific Computing15 citations
Semantic Scholar
Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference
E. Qian, Jemima M. Tabeart, C. Beattie, S. Gugercin +3 more
2021Journal of Scientific Computing14 citations Open access
Semantic Scholar
Robust topology optimization with low rank approximation using artificial neural networks
Vahid Keshavarzzadeh, Robert M. Kirby, A. Narayan
2021Computational Mechanics13 citations
Semantic Scholar
Randomized weakly admissible meshes
Yi-Ming Xu, A. Narayan
2021Journal of Approximation Theory13 citations Open access
Semantic Scholar
Reduced Basis Methods for Fractional Laplace Equations via Extension
H. Antil, Yan-Lai Chen, A. Narayan
2019SIAM Journal on Scientific Computing13 citations
Semantic Scholar
Optimal design for kernel interpolation: Applications to uncertainty quantification
A. Narayan, Liang Yan, Tao Zhou
2021Journal of Computational Physics12 citations Open access
Semantic Scholar
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm
Jia-Hua Jiang, Yan-Lai Chen, A. Narayan
2016SIAM/ASA J. Uncertain. Quantification12 citations
Semantic Scholar
A bandit-learning approach to multifidelity approximation
Yi-Ming Xu, Vahid Keshavarzzadeh, R. Kirby, A. Narayan
2021SIAM Journal on Scientific Computing11 citations Open access
Semantic Scholar
Using UncertainSCI to Quantify Uncertainty in Cardiac Simulations
Lindsay C. Rupp, Ze-Xin Liu, Jake A. Bergquist, S. Rampersad +5 more
2020Computers in cardiology11 citations Open access
Semantic Scholar
Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs
Justin M. Baker, Hedi Xia, Yiwei Wang, E. Cherkaev +6 more
2022arXiv.org10 citations Open access
Semantic Scholar
Model reduction for fractional elliptic problems using Kato's formula
H. Dinh, H. Antil, Yan-Lai Chen, E. Cherkaev +1 more
2019Mathematical Control and Related Fields10 citations Open access
Semantic Scholar
Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs
Justin M. Baker, E. Cherkaev, A. Narayan, Bao Wang
2022Journal of Scientific Computing9 citations
Semantic Scholar
Fast predictive multi-fidelity prediction with models of quantized fidelity levels
M. Razi, R. Kirby, A. Narayan
2019Journal of Computational Physics9 citations Open access
Semantic Scholar
Parametric/Stochastic Model Reduction: Low-Rank Representation, Non-Intrusive Bi-Fidelity Approximation, and Convergence Analysis
Jerrad Hampton, Hillary R. Fairbanks, A. Narayan, A. Doostan
20179 citations
Semantic Scholar
Optimal Quadrature Subsampling for Least Squares Polynomial Approximations
Pranay Seshadri, A. Narayan, S. Mahadevan
20169 citations
Semantic Scholar
On the computation of recurrence coefficients for univariate orthogonal polynomials
Ze-Xin Liu, A. Narayan
2021Journal of Scientific Computing7 citations Open access
Semantic Scholar
Structure-preserving function approximation via convex optimization
Vidhi Zala, R. Kirby, A. Narayan
2020SIAM Journal on Scientific Computing7 citations Open access
Semantic Scholar