106 citations · 110 across the 8 of their papers we have counts for
8 papers
Optimization and Learning With Nonlocal Calculus
Sriram Nagaraj
Nonlocal models have recently had a major impact in nonlinear continuum mechanics and are used to describe physical systems/processes which cannot be accurately described by classi…
Zheghalkin-Boolean Calculus
Sriram Nagaraj
Boolean calculus has been studied extensively in the past in the context of switching circuits, error-correcting codes etc. This work generalizes several approaches to defining a d…
A 3D DPG Maxwell Approach to Nonlinear Raman Gain in Fiber Laser Amplifiers
S. Nagaraj, J. Grosek, S. Petrides +2
We propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, w…
A spacetime DPG method for the Schrodinger equation
Leszek Demkowicz, Jay Gopalakrishnan, Sriram Nagaraj +1
A spacetime Discontinuous Petrov Galerkin (DPG) method for the linear time-dependent Schrodinger equation is proposed. The spacetime approach is particularly attractive for capturi…
Orientation Embedded High Order Shape Functions for the Exact Sequence Elements of All Shapes
Federico Fuentes, Brendan Keith, Leszek Demkowicz +1
A unified construction of high order shape functions is given for all four classical energy spaces (, , and ) and for elements of "all…
A Theory for Optical flow-based Transport on Image Manifolds
Sriram Nagaraj, Aswin C. Sankaranarayanan, Richard G. Baraniuk
An image articulation manifold (IAM) is the collection of images formed when an object is articulated in front of a camera. IAMs arise in a variety of image processing and computer…