Supervised Master's Theses: Solving PDEs with SWIM networks using domain decomposition; Predicting fluid dynamics using convolutional random feature models; Sampling neural networks to approximate Hamiltonian functions; Using neural networks with domain decomposition to solve partial differential equations.
Research Experience
Started doctoral studies in July 2022; Engineering Summer Internship at Koshizuka-Shibata Lab, University of Tokyo, Japan; Summer Research Internship at the Hanson Lab, Stanford University, USA (2017).
Education
PhD candidate at the Institute of Advanced Study (IAS), TUM, focusing on 'Scientific Machine Learning', under the supervision of Prof. Wil Schilders and Prof. Felix Dietrich; MSc in Computational Engineering, FAU, Erlangen (2018-2022); Bachelor's degree in Mechanical Engineering from the University of Pune (2017).
Background
Research interests: Combining classical methods in scientific computing and deep learning for solving Partial Differential Equations (PDEs); developing novel neural network architectures for simulating dynamical systems; back-propagation-free training of neural PDE solvers; combining domain decomposition and neural networks for solving PDEs.