5 papers
Resource Analysis for Quantum Simulation of Spatially Varying Transport-Reaction Equations
Benjamin Jasperson, Krishna Garikipati, Siddhartha Srivastava
Spatially varying coefficients are the primary source of circuit complexity in quantum simulation of linear advection-diffusion-reaction equations. This work presents a resource an…
Learning Population-Level Dynamics through a Latent Fokker--Planck Model and Discrepancy Transport Maps
Chengyang Huang, Krishna Garikipati
Many scientific and engineering systems are observed as time-indexed probability distributions whose governing dynamics are unknown and whose individual trajectories are unavailabl…
Bayesian Variational System Identification with Weak-Form Residual Likelihoods
Chengyang Huang, Siddhartha Srivastava, Krishna Garikipati +1
We consider system identification for discovering parameterized operators in governing partial differential equations (PDEs) from noisy spatiotemporal data. Building on variational…
Inference of phase field fracture models
Elizabeth Livingston, Siddhartha Srivastava, Jamie Holber +2
The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sh…
A continuum, computational study of morphogenesis in lithium intermetallic interfaces
Mostafa Faghih Shojaei, Rahul Gulati, Krishna Garikipati
The design of solid state batteries with lithium anodes is attracting attention for the prospect of high capacity and improved safety over liquid electrolyte systems. The nature of…