In 2020, Shivani joined the University of Leeds alumni community, graduating with a 2:1 in BSc (Hons) Mathematical Sciences. Her first class dissertation explored the mathematics and physics of ...

Abstract: This paper considers the backstepping design of dynamically extended observers, or dynamic observers for short, for systems described by heterodirectional hyperbolic partial differential ...

Abstract: This paper is based on fluid dynamics principle and analyzes the generation mechanism of pressure fluctuations in common rail (CR). We have derived a hyperbolic partial differential equation ...

Population balance equation (PBE) models have the potential to automate many engineering ... The PBEs are typically coupled with additional partial (and/or ordinary) differential equations that model ...

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...