IMod header

IMod – Partial differential equations, statistics and data:
An interdisciplinary approach to data-based modelling

Schematic description of project. Chalk on blackboard.

IMod main content


IMod is an interdisciplinary project for building, analysing and testing a framework for data-based modelling built on the combination of partial differential equations and statistical modelling, and applied in particular to surface fluid mechanics and neuroscience.

The primary objective of IMod is to develop a novel mathematical-statistical framework for data-driven models of complex systems, guided by problems in fluid mechanics and neuroscience.

Scientific description.

IMod research goals

IMod research goals

  1. Combine partial differential equations and statistical theory to develop models with uncertainty for capturing interactions in complex systems.
  2. Create effective and fast methods to identify physical parameters from sparsely observed phenomena.
  3. Rigorously study the systems from a mathematical and physical viewpoint.
  4. Unite theory and data to develop models in fluid mechanics and neuroscience using tailor-made experiments.

Principal investigators (IMod)

Project Partners (IMOD)

Project partners

José Antonio Carrillo
University of Oxford
Stefano Castruccio
Associate Professor
University of Notre Dame
Flavio Donato
University of Basel
James T. Kirby
University of Delaware
Finn Lindgren
University of Edinburgh
Thordis Thorarinsdottir
Research Director
Norwegian Computing Center

Funding (IMod)

Activities (IMod)

Upcoming activities

  • Fall 2023: Start-up conference

Publications (IMod)


del Teso, F., Endal, J., Jakobsen, E.R., and Vazquez, J.L. (2023) Evolution Driven by the Infinity Fractional Laplacian. Calc. Var.,  62(136).

del Teso, F., Endal, J., and Jakobsen, E.R. (2023) Uniform tail estimates and Lp-convergence for finite-difference approximations of nonlinear diffusion equations. Discrete Contin. Dyn. Syst.43(3&4): 1319–1346.

Zhang, J., Bonas, M., Bolster, D., Fuglstad, G.-A., and Castruccio, S. (2023) High Resolution Global Precipitation Downscaling with Latent Gaussian Models and Nonstationary SPDE Structure. Journal of the Royal Statistical Society: Series C. In press.

Lenain, Luc; Smeltzer, Benjamin Keeler; Pizzo, Nick; Maria, Freilich; Colosi, Luke; Ellingsen, Simen Andreas Ådnøy; Grare, Laurent; Peyriere, Hugo; Statom, Nick. (2023) Airborne Remote Sensing of Upper-Ocean and Surface Properties, Currents and Their Gradients From Meso to Submesoscales. Geophysical Research Letters50.

Pizzo, Nick; Lenain, Luc; Rømcke, Olav; Ellingsen, Simen Andreas Ådnøy; Smeltzer, Benjamin Keeler. (2023) The role of Lagrangian drift in the geometry, kinematics and dynamics of surface waves. Journal of Fluid Mechanics, 954.

Smeltzer, Benjamin Keeler; Rømcke, Olav; Hearst, R. Jason; Ellingsen, Simen Andreas Ådnøy. (2023) Experimental study of the mutual interactions between waves and tailored turbulence. Journal of Fluid Mechanics, 962.

Zheng, Zibo; Li, Yan; Ellingsen, Simen Andreas Ådnøy. (2023) Statistics of weakly nonlinear waves on currents with strong vertical shear. Physical Review Fluids, 8.

Ehrnstrom, Mats; Nik, Katerina; Walker, Christoph. (2022). A direct construction of a full family of Whitham solitary waves. Proceedings of the American Mathematical Society151(2).

Ehrnstrom, Mats; Nik, Katerina; Walker, Christoph. (2022). A direct construction of a full family of Whitham solitary waves. Proceedings of the American Mathematical Society151(2).

Ehrnstrom, Mats; Nilsson, Dag; Groves, Mark D. (2022) Existence of Davey–Stewartson type solitary waves for the fully dispersive Kadomtsev–Petviashvilii equation. SIAM Journal on Mathematical Analysis54(4).

Ehrnstrom, Mats; Wang, Yuexun. (2022) Enhanced existence time of solutions to evolution equations of Whitham type. Discrete and Continuous Dynamical Systems. Series A42(8).

Paige, J., Fuglstad, G.-A., Riebler, A., and Wakefield, J. (2022). Spatial Aggregation with Respect to a Population Distribution: Impact on InferenceSpatial Statistics52.

Preprints (IMod)


Altay, U., Paige, J., Riebler, A., and Fuglstad, G.-A.. (2023) GeoAdjust: Adjusting for Positional Uncertainty in Geostatistial Analysis of DHS Data. arXiv:2303.12668.

Altay, U., Paige, J., Riebler, A., and Fuglstad, G.-A. (2022) Jittering Impacts Raster- and Distance-based Geostatistical Analyses of DHS Data. arXiv:2211.07442.

Footer spacing (ESGI)