3 papers
physics.flu-dyn2026
Stability of nonlinear dissipative systems with applications in fluid dynamics
Javier Gonzalez-Conde, Daniel Isla, Sergiy Zhuk +1
Nonlinear partial differential equations are central to physics, engineering, and finance. Except in a limited number of integrable cases, their solution generally requires numeric…
quant-ph2025
Quantum Algorithm for Local-Volatility Option Pricing via the Kolmogorov Equation
Nikita Guseynov, Mikel Sanz, Ángel Rodríguez-Rozas +2
The solution of option-pricing problems may turn out to be computationally demanding due to non-linear and path-dependent payoffs, the high dimensionality arising from multiple und…
quant-ph2024
Quantum Carleman linearisation efficiency in nonlinear fluid dynamics
Javier Gonzalez-Conde, Dylan Lewis, Sachin S. Bharadwaj +1
Computational fluid dynamics (CFD) is a specialised branch of fluid mechanics that utilises numerical methods and algorithms to solve and analyze fluid-flow problems. One promising…