Motivation and Philosophy#

Simulating parameterized systems of equations is ubiquitous in science and engineering. It is often the case that solving such systems with high level of accuracy is a computationally intensive process. For many-query analyses such as uncertainty quantification and optimization, reduced models are required to make the analysis tractable. Model reduction is a broad and active field. Several techniques exist, but there is no such thing as “one method to rule them all”.

We believe in model reduction techniques that use data but are grounded in physical laws. Projection-based reduced-order modeling (pROM) falls in this category, and it is our current focus. This technique relies on a projection process applied to the governing equations of interest and, therefore, it adheres to physical laws. It has shown large potential, but its main drawback is an intrusive nature. This has been, historically, one of the key barriers (if not the main one) precluding this technique from impacting more broadly science and engineering. As a consequence, this has also limited the range of applications and the capabilities tested. We believe this barrier can be broken, thus opening up large opportunities to explore and mature this field.

The Pressio ecosystem is aimed at mitigating the intrusive nature of pROMs for large-scale codes, and providing a framework available to the community to foster research of new ideas and as well as more broad testing. This is our “why” and motivates this project.

The Pressio EcoSystem includes:



Latest Release


C++ core library: ode, solvers, ROMs, etc




Tutorials suite for the pressio C++ library




Suite of 1D, 2D, 3D problems spanning multiple physics and native support for sample mesh




Python bindings to the core C++ library

0.12.0 (see disclaimer below)



Disclaimer: due to limited resources/time, we are currently forced to pause the development of pressio4py, so it will stay out of sync until we will find the time to update it and push another release.