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ORCIDAkil C. Narayan
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2020 – today
- 2020
[j40]Vahid Keshavarzzadeh
, Robert M. Kirby, Akil C. Narayan:
Generation of nested quadrature rules for generic weight functions via numerical optimization: Application to sparse grids. J. Comput. Phys. 400 (2020)- [j39]Ling Guo, Akil C. Narayan, Tao Zhou:
Constructing Least-Squares Polynomial Approximations. SIAM Rev. 62(2): 483-508 (2020) - [j38]Varun Shankar, Grady B. Wright, Akil C. Narayan:
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. SIAM J. Sci. Comput. 42(4): A2371-A2401 (2020) - [j37]Vidhi Zala, Mike Kirby, Akil C. Narayan:
Structure-Preserving Function Approximation via Convex Optimization. SIAM J. Sci. Comput. 42(5): A3006-A3029 (2020) - [j36]Roohallah Khatami, Masood Parvania, Akil C. Narayan:
Flexibility Reserve in Power Systems: Definition and Stochastic Multi-Fidelity Optimization. IEEE Trans. Smart Grid 11(1): 644-654 (2020) - [i8]Vidhi Zala, Robert M. Kirby, Akil C. Narayan:
Structure-preserving function approximation via convex optimization. CoRR abs/2008.08223 (2020) - [i7]Ling Guo, Akil C. Narayan, Yongle Liu, Tao Zhou:
Sparse approximation of data-driven Polynomial Chaos expansions: an induced sampling approach. CoRR abs/2008.10121 (2020) - [i6]Yanlai Chen, Lijie Ji, Akil C. Narayan, Zhenli Xu:
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations. CoRR abs/2009.04812 (2020)
2010 – 2019
- 2019
- [j35]Yanlai Chen, Jiahua Jiang, Akil C. Narayan:
A robust error estimator and a residual-free error indicator for reduced basis methods. Comput. Math. Appl. 77(7): 1963-1979 (2019) - [j34]Mani Razi, Robert M. Kirby, Akil C. Narayan:
Fast predictive multi-fidelity prediction with models of quantized fidelity levels. J. Comput. Phys. 376: 992-1008 (2019) - [j33]Ming Cheng, Akil C. Narayan, Yi Qin, Peng Wang, Xinghui Zhong, Xueyu Zhu:
An efficient solver for cumulative density function-based solutions of uncertain kinematic wave models. J. Comput. Phys. 382: 138-151 (2019) - [j32]Lun Yang, Yi Qin, Akil C. Narayan, Peng Wang:
Data assimilation for models with parametric uncertainty. J. Comput. Phys. 396: 785-798 (2019) - [j31]Daniel J. Perry, Robert M. Kirby, Akil C. Narayan, Ross T. Whitaker:
Allocation Strategies for High Fidelity Models in the Multifidelity Regime. SIAM/ASA J. Uncertain. Quantification 7(1): 203-231 (2019) - [j30]Vahid Keshavarzzadeh, Robert M. Kirby, Akil C. Narayan:
Convergence Acceleration for Time-Dependent Parametric Multifidelity Models. SIAM J. Numer. Anal. 57(3): 1344-1368 (2019) - [j29]Roland Pulch, Akil C. Narayan:
Balanced Truncation for Model Order Reduction of Linear Dynamical Systems with Quadratic Outputs. SIAM J. Sci. Comput. 41(4): A2270-A2295 (2019) - [j28]Harbir Antil, Yanlai Chen, Akil C. Narayan:
Reduced Basis Methods for Fractional Laplace Equations via Extension. SIAM J. Sci. Comput. 41(6): A3552-A3575 (2019) - [i5]Varun Shankar, Grady B. Wright, Akil C. Narayan:
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. CoRR abs/1910.07059 (2019) - 2018
- [j27]Ling Guo, Akil C. Narayan, Tao Zhou:
A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions. J. Comput. Phys. 367: 49-64 (2018) - [j26]Jerrad Hampton, Hillary R. Fairbanks, Akil C. Narayan, Alireza Doostan:
Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction. J. Comput. Phys. 368: 315-332 (2018) - [j25]Varun Shankar, Akil C. Narayan, Robert M. Kirby:
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces. J. Comput. Phys. 373: 722-735 (2018) - [j24]Ben Adcock, Anyi Bao, John D. Jakeman, Akil C. Narayan:
Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations. SIAM/ASA J. Uncertain. Quantification 6(4): 1424-1453 (2018) - [j23]Ling Guo, Akil C. Narayan, Liang Yan, Tao Zhou:
Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation. SIAM J. Sci. Comput. 40(1) (2018) - [j22]Vahid Keshavarzzadeh, Robert M. Kirby, Akil C. Narayan:
Numerical Integration in Multiple Dimensions with Designed Quadrature. SIAM J. Sci. Comput. 40(4): A2033-A2061 (2018) - [c1]Roohallah Khatami, Masood Parvania, Pramod P. Khargonekar, Akil C. Narayan:
Continuous-Time Stochastic Modeling and Estimation of Electricity Load. CDC 2018: 3988-3993 - [i4]Vahid Keshavarzzadeh, Robert M. Kirby, Akil C. Narayan:
Numerical Integration in Multiple Dimensions with Designed Quadrature. CoRR abs/1804.06501 (2018) - [i3]Varun Shankar, Akil C. Narayan, Robert M. Kirby:
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces. CoRR abs/1807.02775 (2018) - [i2]Vahid Keshavarzzadeh, Robert M. Kirby, Akil C. Narayan:
Parametric Topology Optimization with Multi-Resolution Finite Element Models. CoRR abs/1808.10367 (2018) - [i1]Daniel J. Perry, Robert M. Kirby, Akil C. Narayan, Ross T. Whitaker:
Allocation strategies for high fidelity models in the multifidelity regime. CoRR abs/1812.11601 (2018) - 2017
- [j21]Lun Yang, Akil C. Narayan, Peng Wang:
Sequential data assimilation with multiple nonlinear models and applications to subsurface flow. J. Comput. Phys. 346: 356-368 (2017) - [j20]Jiahua Jiang, Yanlai Chen, Akil C. Narayan:
Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set. J. Sci. Comput. 73(2-3): 853-875 (2017) - [j19]Pranay Seshadri, Akil C. Narayan, Sankaran Mahadevan:
Effectively Subsampled Quadratures for Least Squares Polynomial Approximations. SIAM/ASA J. Uncertain. Quantification 5(1): 1003-1023 (2017) - [j18]Akil C. Narayan, John D. Jakeman, Tao Zhou:
A Christoffel function weighted least squares algorithm for collocation approximations. Math. Comput. 86(306): 1913-1947 (2017) - [j17]Matt Feiszli, Akil C. Narayan:
Numerical Computation of Weil-Peterson Geodesics in the Universal Teichmüller Space. SIAM J. Imaging Sci. 10(3): 1322-1345 (2017) - [j16]Ling Guo, Akil C. Narayan, Tao Zhou, Yuhang Chen:
Stochastic Collocation Methods via ℓ1 Minimization Using Randomized Quadratures. SIAM J. Sci. Comput. 39(1) (2017) - [j15]John D. Jakeman, Akil C. Narayan, Tao Zhou:
A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions. SIAM J. Sci. Comput. 39(3) (2017) - 2016
- [j14]Yanlai Chen, Sigal Gottlieb, Alfa R. H. Heryudono, Akil C. Narayan:
A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains. J. Sci. Comput. 66(1): 67-90 (2016) - [j13]Jiahua Jiang, Yanlai Chen, Akil C. Narayan:
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm. SIAM/ASA J. Uncertain. Quantification 4(1): 1398-1420 (2016) - 2015
- [j12]Tao Zhou, Akil C. Narayan, Dongbin Xiu:
Weighted discrete least-squares polynomial approximation using randomized quadratures. J. Comput. Phys. 298: 787-800 (2015) - 2014
- [j11]Xueyu Zhu, Akil C. Narayan, Dongbin Xiu:
Computational Aspects of Stochastic Collocation with Multifidelity Models. SIAM/ASA J. Uncertain. Quantification 2(1): 444-463 (2014) - [j10]Sergey Kushnarev, Akil C. Narayan:
Approximating the Weil-Petersson Metric Geodesics on the Universal Teichmüller Space by Singular Solutions. SIAM J. Imaging Sci. 7(2): 900-923 (2014) - [j9]Akil C. Narayan, Claude Jeffrey Gittelson, Dongbin Xiu:
A Stochastic Collocation Algorithm with Multifidelity Models. SIAM J. Sci. Comput. 36(2) (2014) - [j8]Tao Zhou, Akil C. Narayan, Zhiqiang Xu:
Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid. SIAM J. Sci. Comput. 36(5) (2014) - [j7]Akil C. Narayan, John D. Jakeman:
Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j6]Akil C. Narayan, Jan S. Hesthaven:
A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation. J. Comput. Appl. Math. 237(1): 18-34 (2013) - [j5]John D. Jakeman, Akil C. Narayan, Dongbin Xiu:
Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions. J. Comput. Phys. 242: 790-808 (2013) - [j4]Akil C. Narayan, Dongbin Xiu:
Constructing Nested Nodal Sets for Multivariate Polynomial Interpolation. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j3]Akil C. Narayan, Youssef M. Marzouk, Dongbin Xiu:
Sequential data assimilation with multiple models. J. Comput. Phys. 231(19): 6401-6418 (2012) - [j2]Akil C. Narayan, Dongbin Xiu:
Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation. SIAM J. Sci. Comput. 34(3) (2012) - 2011
- [j1]Akil C. Narayan, Jan S. Hesthaven:
A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties. Math. Comput. 80(275): 1557-1583 (2011)
Coauthor Index
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