Organisers:
Sergio Rojas (Monash University)
Antoine Marteau (Monash University)
Alberto F. Martin (Australian National University)
Bishnu Lamichhane (University of Newcastle)
Manuela Bastidas Olivares (National University of Colombia, Colombia)

Program Description:

This MATRIX program aims to bring together experts from both applied and computational perspectives. Mathematicians working on application-driven Partial Differential Equation (PDE) models will present recent modelling developments and highlight the limitations of current numerical approximation methods available for applications ranging from biomedical to geophysical systems. Complementing this, numerical specialists will share advances across a broad spectrum of state-of-the-art Finite Element and Neural Network–based approaches for PDEs, including stabilised and residual minimisation techniques, structure-preserving and high-order discretisations, as well as unfitted and multiscale methods.

This two-week program is structured to maximise opportunities for knowledge exchange and collaboration among leading experts and emerging researchers in the field of numerical approximation theories for PDEs. Alongside two masterclasses and keynote lectures delivered by invited experts, all participants are encouraged to present their research, focusing on open problems. This will strengthen the Australian computational mathematics community and consolidate its links with the international communities. By providing a platform where latest modelling developments meet numerical innovation, this workshop will help pave the way towards novel, application-driven and mathematically-sound numerical solvers for PDEs.

Program Structure:

Participant List:
Antoine Marteau (Monash University)
Ricardo Ruiz Baier (Monash University)
Santiago Badia (Monash University)
Bishnu Lamichhane (University of Newcastle)
Paulina Sepulveda (Pontificia Universidad Católica de Valparaíso)
Patrick Vega (Universidad de Santiago de Chile)
Alexandre Ern (Ecole Nationale des Ponts et Chaussees, IPP)
Ilaria Perugia (University of Vienna)
Manuela Bastidas Olivares (Universidad Nacional de Colombia, Medellín)
Sergio Rojas (Monash University)
Jay Gopalakrishnan (Portland State University)
Ignacio Muga (Pontificia Universidad Catolica de Valparaiso)
Thomas Fuhrer (Pontificia Universidad Católica de Chile)
Johnny Guzman (Brown University)
Alberto F Martin (Australian National University)
Fleurianne Bertrand (TU Chemnitz)
Jean-Luc Guermond (Texas A&M University)
Neela Nataraj (Indian Institute of Technology Bombay)
Quoc Le Gia (University of New South Wales, Sydney)
Zachary J Wegert (Queensland University of Technology)
Nicolas Barnafi (Pontificia Universidad Católica de Chile)
Jing Gao (Monash University)
Serge Prudhomme (Polytechnique Montreal)
Jordi Manyer (Monash University)
Silvia Bertoluzza (CNR – Istituto di Matematica Applicata e Tecnologie Informatiche)
Tamara Tambyah (Monash University)
Carlos Uriarte (University of the Basque Country (EHU))
Andres Rubiano Martinez (Monash University)
Sergio Carrasco Hidalgo (Monash University)
Jorge Perera Ortega (Pontificia Universidad Católica de Valparaíso)
Siyad Rahman Mandottil (Monash University, Australia)

Registration:

• Registration is now closed
• Arrival date: 8 November 2026
• Departure date: 20 November 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 10 November 2026
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.