Shankar, Varun

1. Multiscale Graph Neural Network Autoencoders for Interpretable Scientific Machine Learning
   2023/02/13 by Shivam Barwey, Barwey, Shivam, Varun Shankar +3 · 3 citations
   Computer Science · Engineering · Physics and Astronomy · #Advanced Neural Network Applications #FOS: Computer and information sciences #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Machine Learning (cs.LG) #Model Reduction and Neural Networks
2. A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
   2019/10/15 by Shankar, Varun, Wright, Grady B., Narayan, Akil · 2 citations
   #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Numerical Analysis (math.NA) #and Science (cs.CE)
3. Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations
   2022/05/19 by Ramansh Sharma, Varun Shankar, Sharma, Ramansh +1 · 2 citations
   Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Neural Networks and Applications #Computational Physics and Python Applications
4. A Radial Basis Function (RBF)-Finite Difference (FD) Method for\n Diffusion and Reaction-Diffusion Equations on Surfaces
   2014/04/03 by Varun Shankar, Grady B. Wright, Shankar, Varun +5 · 1 citation
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in engineering
5. Robust Node Generation for Meshfree Discretizations on Irregular Domains\n and Surfaces
   2018/06/08 by Varun Shankar, Shankar, Varun, Robert M. Kirby +3 · 1 citation
   Earth and Planetary Sciences · Engineering · #Advanced Numerical Analysis Techniques #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Seismic Imaging and Inversion Techniques
6. Ensemble and Mixture-of-Experts DeepONets For Operator Learning
   2024/05/20 by Sharma, Ramansh, Shankar, Varun · 2 citations
   #FOS: Computer and information sciences #Machine Learning (cs.LG)
7. Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning
   2024/06/30 by Lowery, Matthew, Turnage, John, Morrow, Zachary +4 · 3 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
8. MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces
   2022/04/13 by Grady B. Wright, Wright, Grady B., Andrew Jones +3 · 1 citation
   Engineering · Physics and Astronomy · #65F08 #65F10 #65M22 #65M55 #65N22 #65N55 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
9. Importance of equivariant and invariant symmetries for fluid flow modeling
   2023/05/03 by Varun Shankar, Shivam Barwey, Shankar, Varun +7 · 1 citation
   Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Computer and information sciences #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Model Reduction and Neural Networks