Antil, Harbir

1. Galerkin v. least-squares Petrov--Galerkin projection in nonlinear model\n reduction
   2015/04/14 by Kevin Carlberg, Matthew Barone, Carlberg, Kevin +3 · 6 citations
   Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #Power System Optimization and Stability
2. Spectral approximation of fractional PDEs in image processing and phase\n field modeling
   2017/04/02 by Harbir Antil, Antil, Harbir, Sören Bartels +1 · 4 citations
   Computer Science · Materials Science · Mathematics · #26A33 #35S15 #49K20 #49M05 #65N12 #65N35 #65R20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Solidification and crystal growth phenomena
3. Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs
   2019/11/28 by Ryan Vaughn, Tyrus Berry, Vaughn, Ryan +3 · 2 citations
   Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Advanced Numerical Methods in Computational Mathematics
4. Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows
   2021/04/01 by Brown, Thomas S., Antil, Harbir, Löhner, Rainald +2 · 2 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
5. Efficient algorithms for Bayesian Inverse Problems with Whittle--Matérn Priors
   2022/05/09 by Harbir Antil, Arvind K. Saibaba, Antil, Harbir +1 · 2 citations
   Mathematics · #65F10 #65F50 #65M60 #65N21 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Statistical Methods and Inference
6. Nonlocal Bounded Variations with Applications
   2022/08/24 by Antil, Harbir, Díaz, Hugo, Jing, Tian +1 · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
7. Fractional Deep Neural Network via Constrained Optimization
   2020/04/01 by Antil, Harbir, Khatri, Ratna, Löhner, Rainald +1 · 2 citations
   #49J15 #49J20 #68T05 #82C32 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural and Evolutionary Computing (cs.NE) #Optimization and Control (math.OC)
8. Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics
   2017/12/19 by Antil, Harbir, Rautenberg, Carlos N. · 1 citation
   #26A33 #35J75 #35R35 #49M25 #65M60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
9. External optimal control of fractional parabolic PDEs
   2019/04/11 by Antil, Harbir, Verma, Deepanshu, Warma, Mahamadi · 1 citation
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
10. Detailed Simulation of Viral Propagation In The Built Environment
    2020/06/23 by Löhner, Rainald, Antil, Harbir, Idelsohn, Sergio +1 · 1 citation
    #Biological Physics (physics.bio-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Physics and Society (physics.soc-ph)
11. Data Assimilation with Deep Neural Nets Informed by Nudging
    2021/11/22 by Antil, Harbir, Löhner, Rainald, Price, Randy · 1 citation
    #68T07 #76B75 #93C15 #93C20 #FOS: Mathematics #Numerical Analysis (math.NA)
12. NINNs: Nudging Induced Neural Networks
    2022/03/15 by Harbir Antil, Antil, Harbir, Rainald Löhner +3 · 1 citation
    Earth and Planetary Sciences · Engineering · Environmental Science · #68T07 #76B75 #80A32 #93C15 #93C20 #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Machine Learning (cs.LG) #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Wind and Air Flow Studies
13. Novel Deep neural networks for solving Bayesian statistical inverse
    2021/02/08 by Antil, Harbir, Elman, Howard C, Onwunta, Akwum +1 · 1 citation
    #65C40 #65C60 #65F22 #65N12 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
14. Mathematical Opportunities in Digital Twins (MATH-DT)
    2024/02/15 by Harbir Antil, Antil, Harbir · 1 citation
    Computer Science · #Engineering Education and Technology #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
15. High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures
    2023/11/18 by Rainald Löhner, Löhner, Rainald, Facundo N. Airaudo +9 · 1 citation
    Engineering · #Advanced Measurement and Metrology Techniques #Advanced machining processes and optimization #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Structural Health Monitoring Techniques
16. Duality-Based Algorithm and Numerical Analysis for Optimal Insulation Problems on Non-Smooth Domains
    2025/05/07 by Antil, Harbir, Kaltenbach, Alex, Kirk, Keegan L. A. · 2 citations
    #35J20 #49J40 #49M29 #65N15 #65N30 #65N50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
17. Optimal Control, Numerics, and Applications of Fractional PDEs
    2021/06/24 by Harbir Antil, Thomas S. Brown, Antil, Harbir +9 · 1 citation
    Mathematics · Engineering · #Fractional Differential Equations Solutions #Numerical methods in engineering #Numerical methods in inverse problems
18. Modeling and Analysis of an Optimal Insulation Problem on Non-Smooth Domains
    2025/03/14 by Harbir Antil, Antil, Harbir, Alex Kaltenbach +3 · 2 citations
    Computer Science · Mathematics · #35B40 #35J25 #35Q93 #49J45 #80A19 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
19. Approximation of Integral Fractional Laplacian and Fractional PDEs via\n sinc-Basis
    2020/10/13 by Harbir Antil, Patrick Dondl, Antil, Harbir +3 · 1 citation
    Computer Science · Mathematics · #35R11 #65N35 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #FOS: Mathematics #G.1 #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA)