Sreeram Shankar

Focuses and Interests

Research focuses and interests within computational mathematics, numerical analysis, and scientific computing.

Functional Analysis

Approximation Theory

Stiffness and Geometric Preservation

Nonlinear Hyperbolic PDEs and Shocks

Elliptic PDEs

Parabolic PDEs

Integro-Differential Equations

Initial Value Problems

Finite Element Methods

Discontinuous Galerkin Methods

Finite Volume Methods

Isogeometric Analysis

Spectral and Pseudospectral Methods

General Linear Methods

Fully Implicit Runge–Kutta Methods

Rosenbrock Methods

Stabilized Runge–Kutta Methods

Exponential Integrators

IMEX methods

Krylov Subspace Methods

Preconditioning

Multigrid Methods

High Performance Computing

Reduced Order Modeling

Scientific Machine Learning

Computational Fluid Dynamics

Computational Structural Mechanics

Julia

Python

C++

Fortran