Romain Duboscq

Romain Duboscq is a Lecturer at the National Institute of Applied Sciences (INSA) in Toulouse and a member of the Institute of Mathematics of Toulouse (IMT). He is affiliated with Paul Sabatier University (University Toulouse III) as evidenced by his contact information at the Toulouse Institute of Mathematics.

His research spans several interconnected areas in mathematical physics:

• Analysis and numerical simulation of partial differential equations related to quantum mechanics
• Numerical methods for Gross-Pitaevskii type equations in Bose-Einstein condensates
• Stochastic Schrödinger equations and their numerical approximation
• Cauchy problem for stochastic Gross-Pitaevskii equations
• Stochastic regularization effects and the Itô-Tanaka trick
• Minimization of quantum entropies under local constraints

Duboscq has developed the GPELab toolbox, a free-access Matlab resource for solving Gross-Pitaevskii equations, in collaboration with Xavier Antoine. His research often addresses challenging cases with strong nonlinearity and fast rotation in quantum systems. His work demonstrates a consistent integration of theoretical analysis with practical computational methods, making contributions to both fundamental understanding and applied methodology in quantum mechanical systems.

His publication record shows sustained productivity across prestigious journals including Journal of Mathematical Physics, Annales Henri Lebesgue, and ESAIM: Mathematical Modelling and Numerical Analysis. The recent publications (2022-2025) demonstrate continued engagement with multiple research threads, particularly in quantum PDEs, stochastic methods, and computational approaches to quantum systems.

Duboscq has received recognition through numerous publications in high-impact journals:

• Multiple publications in Annales Henri Lebesgue (2022)
• Work published in Journal of Mathematical Physics (2022)
• Contributions to ESAIM: Mathematical Modelling and Numerical Analysis (2025)
• Publications in Annals of Probability (2025)
• Research in Journal of Functional Analysis (2021)

Duboscq maintains active research collaborations with several prominent researchers including Xavier Antoine, Christophe Besse, Renaud Marty, Anthony Réveillac, and Olivier Pinaud. His GPELab toolbox represents a significant contribution to computational tools for quantum physics research. While specific student supervision details aren't provided in the available information, his numerous collaborations suggest an active mentoring role in the research community.

Duboscq leads the GPELab research group, which focuses on developing numerical methods and computational tools for quantum mechanical systems, particularly Bose-Einstein condensates modeled by Gross-Pitaevskii equations. The group's work bridges theoretical mathematics with practical computational applications, providing resources that enable more accurate simulations of complex quantum phenomena.