Varun Shankar - RankMe

57 papers A* 1Journal 55

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Fluids You Can Trust: Property-Preserving Operator Learning for Incompressible Flows. CoRR Ramansh Sharma, Matthew Lowery, Houman Owhadi, Varun Shankar
2025	J	`jnl`	An Optimal Weighted Least-Squares Method for Operator Learning. CoRR John Turnage, Matthew Lowery, John D. Jakeman, Zachary Morrow, Akil Narayan, Varun Shankar
2025	J	`jnl`	Deep Gaussian Processes for Functional Maps. CoRR Matthew Lowery, Zhitong Xu, Da Long, Keyan Chen, Daniel S. Johnson, Yang Bai, Varun Shankar, Shandian Zhe
2025	J	`jnl`	Ensemble and Mixture-of-Experts DeepONets For Operator Learning. Trans. Mach. Learn. Res. Ramansh Sharma, Varun Shankar
2025	J	`jnl`	Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases. Trans. Mach. Learn. Res. Madison Cooley, Varun Shankar, Mike Kirby, Shandian Zhe
2025	J	`jnl`	HyResPINNs: A Hybrid Residual Physics-Informed Neural Network Architecture Designed to Balance Expressiveness and Trainability. Trans. Mach. Learn. Res. Madison Cooley, Mike Kirby, Shandian Zhe, Varun Shankar
2025	J	`jnl`	Rootfinding and Optimization Techniques for Solving Nonlinear Systems of Equations Arising from Cohesive Zone Models. CoRR Alberto Cattaneo, Varun Shankar, M. Keith Ballard
2024	J	`jnl`	Discretization of Non-uniform Rational B-Spline (NURBS) Models for Meshless Isogeometric Analysis. J. Sci. Comput. Urban Duh, Varun Shankar, Gregor Kosec
2024	J	`jnl`	Ensemble and Mixture-of-Experts DeepONets For Operator Learning. CoRR Ramansh Sharma, Varun Shankar
2024	J	`jnl`	Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases. CoRR Madison Cooley, Varun Shankar, Robert M. Kirby, Shandian Zhe
2024	J	`jnl`	HyResPINNs: Adaptive Hybrid Residual Networks for Learning Optimal Combinations of Neural and RBF Components for Physics-Informed Modeling. CoRR Madison Cooley, Robert M. Kirby, Shandian Zhe, Varun Shankar
2024	J	`jnl`	Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning. CoRR Matthew Lowery, John Turnage, Zachary Morrow, John D. Jakeman, Akil Narayan, Shandian Zhe, Varun Shankar
2024	J	`jnl`	Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation. CoRR Madison Cooley, Shandian Zhe, Robert M. Kirby, Varun Shankar
2023	J	`jnl`	Differentiable Turbulence II. CoRR Varun Shankar, Romit Maulik, Venkatasubramanian Viswanathan
2023	J	`jnl`	Differentiable Turbulence. CoRR Varun Shankar, Romit Maulik, Venkatasubramanian Viswanathan
2023	J	`jnl`	Differentiable physics-enabled closure modeling for Burgers' turbulence. Mach. Learn. Sci. Technol. Varun Shankar, Vedant Puri, Ramesh Balakrishnan, Romit Maulik, Venkatasubramanian Viswanathan
2023	J	`jnl`	Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis. CoRR Urban Duh, Varun Shankar, Gregor Kosec
2023	J	`jnl`	Importance of equivariant and invariant symmetries for fluid flow modeling. CoRR Varun Shankar, Shivam Barwey, Zico Kolter, Romit Maulik, Venkatasubramanian Viswanathan
2023	J	`jnl`	Locally Adaptive and Differentiable Regression. CoRR Mingxuan Han, Varun Shankar, Jeff M. Phillips, Chenglong Ye
2023	J	`jnl`	MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces. SIAM J. Sci. Comput. Grady B. Wright, Andrew M. Jones, Varun Shankar
2023	J	`jnl`	Multiscale Graph Neural Network Autoencoders for Interpretable Scientific Machine Learning. CoRR Shivam Barwey, Varun Shankar, Venkatasubramanian Viswanathan, Romit Maulik
2023	J	`jnl`	Multiscale graph neural network autoencoders for interpretable scientific machine learning. J. Comput. Phys. Shivam Barwey, Varun Shankar, Venkatasubramanian Viswanathan, Romit Maulik
2022	J	`jnl`	A fine-grained parallelization of the immersed boundary method. Int. J. High Perform. Comput. Appl. Andrew T. Kassen, Varun Shankar, Aaron L. Fogelson
2022	J	`jnl`	Accelerated Training of Physics Informed Neural Networks (PINNs) using Meshless Discretizations. CoRR Ramansh Sharma, Varun Shankar
2022	A*	`conf`	Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations. NeurIPS Ramansh Sharma, Varun Shankar
2022	J	`jnl`	Differentiable physics-enabled closure modeling for Burgers' turbulence. CoRR Varun Shankar, Vedant Puri, Ramesh Balakrishnan, Romit Maulik, Venkatasubramanian Viswanathan
2022	J	`jnl`	Immersed boundary simulations of cell-cell interactions in whole blood. J. Comput. Phys. Andrew T. Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson
2022	J	`jnl`	MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. CoRR Grady B. Wright, Andrew M. Jones, Varun Shankar
2021	J	`jnl`	An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. J. Comput. Phys. Varun Shankar, Grady B. Wright, Aaron L. Fogelson
2021	J	`jnl`	Immersed boundary simulations of cell-cell interactions in whole blood. CoRR Andrew T. Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson
2021	J	`jnl`	Towards an Extrinsic, CG-XFEM Approach Based on Hierarchical Enrichments for Modeling Progressive Fracture. CoRR M. Keith Ballard, Roman Amici, Varun Shankar, Lauren A. Ferguson, Michael Braginsky, Robert M. Kirby
2020	J	`jnl`	A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. SIAM J. Sci. Comput. Varun Shankar, Grady B. Wright, Akil Narayan
2020	J	`jnl`	A fine-grained parallelization of the immersed boundary method. CoRR Andrew T. Kassen, Varun Shankar, Aaron L. Fogelson
2020	J	`jnl`	An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains. CoRR Varun Shankar, Grady B. Wright, Aaron L. Fogelson
2020	J	`jnl`	Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission. Multiscale Model. Simul. Sean D. Lawley, Varun Shankar
2019	J	`jnl`	A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds. CoRR Varun Shankar, Grady B. Wright, Akil Narayan
2018	J	`jnl`	Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing. J. Sci. Comput. Vidhi Zala, Varun Shankar, Shankar P. Sastry, Robert M. Kirby
2018	J	`jnl`	Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing. CoRR Vidhi Zala, Varun Shankar, Shankar P. Sastry, Robert M. Kirby
2018	J	`jnl`	Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations. CoRR Varun Shankar, Aaron L. Fogelson
2018	J	`jnl`	Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. J. Comput. Phys. Varun Shankar, Aaron L. Fogelson
2018	J	`jnl`	Mesh-free Semi-Lagrangian Methods for Transport on a Sphere Using Radial Basis Functions. CoRR Varun Shankar, Grady B. Wright
2018	J	`jnl`	Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. J. Comput. Phys. Varun Shankar, Grady B. Wright
2018	J	`jnl`	RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces. CoRR Varun Shankar, Akil Narayan, Robert M. Kirby
2018	J	`jnl`	RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces. J. Comput. Phys. Varun Shankar, Akil Narayan, Robert M. Kirby
2018	J	`jnl`	Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces. SIAM J. Sci. Comput. Varun Shankar, Robert M. Kirby, Aaron L. Fogelson
2018	J	`jnl`	Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces. CoRR Varun Shankar, Robert M. Kirby, Aaron L. Fogelson
2017	J	`jnl`	A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces. SIAM J. Sci. Comput. Erik Lehto, Varun Shankar, Grady B. Wright
2017	J	`jnl`	The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD. J. Comput. Phys. Varun Shankar
2016	J	`jnl`	The Overlapped Radial Basis Function-Finite Difference (RBF-FD) Method for the Numerical Solution of PDEs. CoRR Varun Shankar
2015	J	`jnl`	A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations. CoRR Edward J. Fuselier, Varun Shankar, Grady B. Wright
2015	J	`jnl`	A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. J. Sci. Comput. Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
2015	J	`jnl`	Radial Basis Function (RBF)-based Parametric Models for Closed and Open Curves within the Method of Regularized Stokeslets. CoRR Varun Shankar, Sarah D. Olson
2014	J	`jnl`	A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. CoRR Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
2014	—	`—`	Radial Basis Function-Based Numerical Methods for the Simulation of Platelet Aggregation. Varun Shankar
2013	J	`jnl`	A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. CoRR Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby
2013	J	`jnl`	Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows CoRR Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson
2012	J	`jnl`	A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method CoRR Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby