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ORCIDKaushik Bhattacharya
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2020 – today
- 2024
[j7]Kaushik Bhattacharya, Nikola B. Kovachki
, Aakila Rajan, Andrew M. Stuart, Margaret Trautner:
Learning Homogenization for Elliptic Operators. SIAM J. Numer. Anal. 62(4): 1844-1873 (2024)- 2023
- [j6]Nikola B. Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Neural Operator: Learning Maps Between Function Spaces With Applications to PDEs. J. Mach. Learn. Res. 24: 89:1-89:97 (2023) - [j5]Kaushik Bhattacharya, Burigede Liu, Andrew M. Stuart, Margaret Trautner:
Learning Markovian Homogenized Models in Viscoelasticity. Multiscale Model. Simul. 21(2): 641-679 (2023) - [i12]Kaushik Bhattacharya, Nikola B. Kovachki, Aakila Rajan, Andrew M. Stuart, Margaret Trautner:
Learning Homogenization for Elliptic Operators. CoRR abs/2306.12006 (2023) - [i11]Mina Karimi, Kaushik Bhattacharya:
A learning-based multiscale model for reactive flow in porous media. CoRR abs/2309.10933 (2023) - [i10]Mina Karimi, Kaushik Bhattacharya:
Accelerated Computational Micromechanics for Reactive Flow in Porous Media. CoRR abs/2312.15554 (2023) - 2022
- [j4]Swarnava Ghosh, Kaushik Bhattacharya:
Spectral quadrature for the first principles study of crystal defects: Application to magnesium. J. Comput. Phys. 456: 111035 (2022) - [c4]Zongyi Li, Miguel Liu-Schiaffini, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Learning Chaotic Dynamics in Dissipative Systems. NeurIPS 2022 - [d1]Zongyi Li, Miguel Liu-Schiaffini, Nikola Borislavov Kovachki, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Learning Dissipative Dynamics in Chaotic Systems (Datasets). Zenodo, 2022
- [i9]Kaushik Bhattacharya, Burigede Liu, Andrew M. Stuart, Margaret Trautner:
Learning Markovian Homogenized Models in Viscoelasticity. CoRR abs/2205.14139 (2022) - 2021
- [c3]Zongyi Li, Nikola Borislavov Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Fourier Neural Operator for Parametric Partial Differential Equations. ICLR 2021 - [i8]Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Markov Neural Operators for Learning Chaotic Systems. CoRR abs/2106.06898 (2021) - [i7]Nikola B. Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Neural Operator: Learning Maps Between Function Spaces. CoRR abs/2108.08481 (2021) - 2020
- [j3]Mauricio Ponga, Kaushik Bhattacharya, Michael Ortiz:
Large scale ab-initio simulations of dislocations. J. Comput. Phys. 407: 109249 (2020) - [c2]Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Andrew M. Stuart, Kaushik Bhattacharya, Anima Anandkumar:
Multipole Graph Neural Operator for Parametric Partial Differential Equations. NeurIPS 2020 - [i6]Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Neural Operator: Graph Kernel Network for Partial Differential Equations. CoRR abs/2003.03485 (2020) - [i5]Kaushik Bhattacharya, Bamdad Hosseini, Nikola B. Kovachki, Andrew M. Stuart:
Model Reduction and Neural Networks for Parametric PDEs. CoRR abs/2005.03180 (2020) - [i4]Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Multipole Graph Neural Operator for Parametric Partial Differential Equations. CoRR abs/2006.09535 (2020) - [i3]Hao Zhou, Kaushik Bhattacharya:
Accelerated computational micromechanics. CoRR abs/2010.06697 (2020) - [i2]Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar:
Fourier Neural Operator for Parametric Partial Differential Equations. CoRR abs/2010.08895 (2020)
2010 – 2019
- 2018
- [i1]Stella Brach, Erwan Tanné, Blaise Bourdin, Kaushik Bhattacharya:
Phase-field study of crack nucleation and propagation in elastic - perfectly plastic bodies. CoRR abs/1812.05223 (2018) - 2012
- [j2]Sefi Givli, Ha Giang, Kaushik Bhattacharya:
Stability of MultiComponent Biological Membranes. SIAM J. Appl. Math. 72(2): 489-511 (2012) - 2011
- [j1]Phanish Suryanarayana, Kaushik Bhattacharya, Michael Ortiz:
A mesh-free convex approximation scheme for Kohn-Sham density functional theory. J. Comput. Phys. 230(13): 5226-5238 (2011)
2000 – 2009
- 2007
- [c1]Harish Reddy, M. Girish Chandra, P. Balamuralidhar, Harihara S. G., Kaushik Bhattacharya, Edward Joseph:
An Improved Time-of-Arrival Estimation for WLAN-Based Local Positioning. COMSWARE 2007
Coauthor Index
aka: Nikola Borislavov Kovachki
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