Our research

Nonlinear dynamical systems

Nonlinear dynamical systems


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Partial differential equations

Partial differential equations


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Data-driven predictive modeling

Data-driven predictive modeling


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About us

We adopt an interdisciplinary approach for the analysis and forecast of complex systems.
Understanding and modeling complex systems require integrating different disciplines with mathematics being the unifying language.

To cite Galileo Galilei , in Il Saggiatore (1623):
Philosophy [i.e., natural philosophy or physics] is written in this grand book — I mean the universe — which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language and interpret the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometrical figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering around in a dark labyrinth.

We are also committed to reproducible, open-source and high-performance software as it is a cornerstone of modern science. All our codes related to scientific publications are freely available at github.com/MathEXLab.

Our research team is led by Principal Investigator Dr Gianmarco Mengaldo.

Nonlinear dynamical systems: Lorenz attractor colored by newly developed indices
Partial differential equations: Large-eddy simulation of a road car via high-order spectral element methods
Data-driven predictive modeling: Spectral proper orthogonal decomposition of high-resolution ERA5 climate reanalysis data

Sponsors

We are supported by a number of grants. We acknolwedge support from Singapore's Ministry of Education (MOE), National University of Singapore (NUS), and Temasek Laboratory at NUS.


Latest news


Paper accepted in Nature Machine Intelligence on the evaluation of post-hoc interpretability for neural networks in time series classification tasks.

We are participating to SIAM CSE in Amsterdam from 26th Feb to 3rd March.

Looking for a self-motivated, proactive and creative Postdoctoral Fellow to join our group.