Varun Shankar

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces

Varun Shankar, Grady B. Wright, Robert M. Kirby et al. · Journal of Scientific Computing · 2014 · 154 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Engineering +6

A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces

Erik Lehto, Varun Shankar, Grady B. Wright · SIAM Journal on Scientific Computing · 2017 · 89 citations

Numerical Analysis, Engineering, Computer-aided Design +19

Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations

Varun Shankar, Aaron L. Fogelson · Journal of Computational Physics · 2018 · 68 citations · Full text

Numerical Analysis, Engineering, Hyperviscosity-based Stabilization +4

The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD

Varun Shankar · Journal of Computational Physics · 2017 · 61 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +9

Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions

Varun Shankar, Grady B. Wright · Journal of Computational Physics · 2018 · 46 citations · Full text

Numerical Analysis, Radial Basis Functions, Method Of Fundamental Solution +9