Distinguished Visiting Assistant Professor in Scientific Computing
I am working in the research group of Dr. Lars Ruthotto
PDE Constrained Optimization
Math 111: Calculus I
H. Antil, T.S Brown, R. Löhner, F. Togashi, and D. Verma. Deep Neural Nets with Fixed Bias Configuration.
H. Antil, H.C. Elman, A. Onwunta and, and D. Verma. Novel Deep Neural Networks for Solving Bayesian Statistical Inverse Problems.
H. Antil, R. Arndt, C.N. Rautenberg, and D. Verma. Non-Diffusive Variational Problems with Distributional and Weak Gradient Constraints.
H. Antil, T.S. Brown, R. Khatri, A. Onwunta, D. Verma and M. Warma. Optimal Control, Numerics, and Applications of Fractional PDEs. Accepted in Handbook of Numerical Analysis.
H. Antil, T.S. Brown, D. Verma, and M. Warma. Optimal Control of Fractional PDEs with State and Control Constraints. Accepted in Pure and Applied Functional Analysis 2021.
T.S Brown, H. Antil, R. Löhner, F. Togashi, and D. Verma. Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. Accepted in Computational Fluid Dynamics Simulations and Analysis (CFDML) 2021. DOI: https://doi.org/10.1007/978-3-030-90539-2_2. arXiv:
H. Antil, R. Khatri, R. Löhner and D. Verma. Fractional Deep Neural Network via Constrained Optimization. Machine Learning: Science and Technology 2020. DOI: https://doi.org/10.1088/2632-2153/aba8e7. arXiv:
H. Antil, D. Verma, and M. Warma. Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces. J Optim Theory Appl 186, 1–23 (2020). DOI: https://doi.org/10.1007/s10957-020-01684-z. arXiv: