Akil C. Narayan

发表

A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation

Jan S. Hesthaven, Akil C. Narayan, J. Hesthaven, 2009, J. Comput. Appl. Math..

A Stochastic Collocation Algorithm with Multifidelity Models

Dongbin Xiu, Akil C. Narayan, Claude Jeffrey Gittelson, 2014, SIAM J. Sci. Comput..

An efficient solver for cumulative density function-based solutions of uncertain kinematic wave models

Yi Qin, Ming Cheng, Xueyu Zhu, 2019, J. Comput. Phys..

Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions

Dongbin Xiu, Akil C. Narayan, John D. Jakeman, 2013, J. Comput. Phys..

Approximating the Weil-Petersson Metric Geodesics on the Universal Teichmüller Space by Singular Solutions

Sergey Kushnarev, Akil C. Narayan, 2014, SIAM J. Imaging Sci..

Constructing Least-Squares Polynomial Approximations

Akil C. Narayan, Tao Zhou, Ling Guo, 2020, SIAM Rev..

Parametric topology optimization with multiresolution finite element models pdf

Robert Michael Kirby, Akil C. Narayan, Vahid Keshavarzzadeh, 2018, International Journal for Numerical Methods in Engineering.

A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions

Tao Zhou, Ling Guo, Akil C. Narayan, 2018, J. Comput. Phys..

A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions

Akil C. Narayan, John D. Jakeman, Tao Zhou, 2016, SIAM J. Sci. Comput..

Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction

Akil C. Narayan, Alireza Doostan, Hillary R. Fairbanks, 2018, J. Comput. Phys..

Constructing Nested Nodal Sets for Multivariate Polynomial Interpolation

Dongbin Xiu, Akil C. Narayan, D. Xiu, 2013, SIAM J. Sci. Comput..

Weighted discrete least-squares polynomial approximation using randomized quadratures

Dongbin Xiu, Tao Zhou, Akil C. Narayan, 2015, J. Comput. Phys..

RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces pdf

Robert Michael Kirby, Akil C. Narayan, Varun Shankar, 2018, J. Comput. Phys..

Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation

Liang Yan, Tao Zhou, Ling Guo, 2017, SIAM J. Sci. Comput..

Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid

Tao Zhou, Zhiqiang Xu, Akil C. Narayan, 2014, SIAM J. Sci. Comput..

Stochastic collocation methods via $L_1$ minimization using randomized quadratures

Yuhang Chen, Tao Zhou, Ling Guo, 2016, 1602.00995.

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Jan S. Hesthaven, Akil C. Narayan, J. Hesthaven, 2009, Math. Comput..

Continuous-Time Stochastic Modeling and Estimation of Electricity Load

Roohallah Khatami, Masood Parvania, Pramod P. Khargonekar, 2018, 2018 IEEE Conference on Decision and Control (CDC).

Sequential data assimilation with multiple models

Dongbin Xiu, Youssef M. Marzouk, Akil C. Narayan, 2012, J. Comput. Phys..

Numerical Integration in Multiple Dimensions with Designed Quadrature pdf

Robert Michael Kirby, Akil C. Narayan, Vahid Keshavarzzadeh, 2018, SIAM J. Sci. Comput..

Numerical Computation of Weil-Peterson Geodesics in the Universal Teichmüller Space

Matt Feiszli, Akil C. Narayan, Matt Feiszli, 2013, SIAM J. Imaging Sci..

Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set

Yanlai Chen, Akil C. Narayan, Jiahua Jiang, 2017, J. Sci. Comput..

Fast predictive multi-fidelity prediction with models of quantized fidelity levels

Robert Michael Kirby, Akil C. Narayan, Mani Razi, 2019, J. Comput. Phys..

Sequential data assimilation with multiple nonlinear models and applications to subsurface flow

Peng Wang, Akil C. Narayan, Lun Yang, 2017, J. Comput. Phys..

Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation

Dongbin Xiu, Akil C. Narayan, D. Xiu, 2012, SIAM J. Sci. Comput..

Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation

Akil C. Narayan, John D. Jakeman, J. Jakeman, 2014, SIAM J. Sci. Comput..

A Christoffel function weighted least squares algorithm for collocation approximations

Tao Zhou, Akil C. Narayan, John D. Jakeman, 2014, Math. Comput..

Allocation strategies for high fidelity models in the multifidelity regime

Ross T. Whitaker, Robert Michael Kirby, Akil C. Narayan, 2018, SIAM/ASA J. Uncertain. Quantification.

A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains

Yanlai Chen, Akil C. Narayan, Alfa R. H. Heryudono, 2014, J. Sci. Comput..