Jad Dabaghi, Associate Professor at ESILV, presented his latest research at Numerical Analysis and Scientific Computation with Applications (NASCA26), held in Kalamata, Greece. The conference brings together researchers working in numerical analysis, scientific computing, and applied mathematics to present recent advances across a broad range of scientific and engineering applications.
His presentation focused on the numerical simulation of cardiac electrical activity, addressing mathematical and computational challenges involved in modelling the heart.
Improving the numerical simulation of the heart’s electrical activity
The research is based on the monodomain model, a widely used mathematical framework for representing the propagation of electrical signals through cardiac tissue.
Numerical simulation of this model plays an important role in computational cardiology, helping researchers better understand the electrical behaviour of the heart while supporting the development of predictive simulation tools.
The work explored several key research questions:
- How can robust numerical algorithms be designed to accurately approximate the solution of the monodomain model?
- How can the different sources of numerical error arising during the simulation be estimated and quantified?
- Can adaptive algorithms be developed to reduce computational cost while maintaining simulation accuracy?
Addressing these questions improves both the reliability and the efficiency of numerical simulations used in biomedical engineering and computational science.
Numerical methods for complex scientific problems
The research combines mathematical modelling, numerical analysis and scientific computing to improve the performance of simulations involving partial differential equations (PDEs).
Adaptive numerical methods enable the allocation of computational resources where they are most needed, reducing computation time without compromising the quality of the results.
These advances have applications beyond cardiac modelling, as similar numerical techniques are used in engineering, physics, and many other scientific disciplines that require large-scale simulations.
NASCA26: an international conference on numerical analysis
The fifth edition of NASCA gathered researchers from around the world to present recent developments in numerical methods and their applications.
The conference was organised by:
- the Department of Mathematics, National and Kapodistrian University of Athens (Greece);
- the Laboratory of Pure and Applied Mathematics, Université du Littoral Côte d’Opale (France).
The scientific programme covered topics including:
- Numerical linear and multilinear algebra;
- Numerical methods for partial differential equations (PDEs);
- Control and model reduction;
- Ill-posed problems and regularisation;
- Approximation and optimisation;
- Machine learning, computer vision and image processing;
- Computational statistics.
Selected contributions from the conference will be published in international peer-reviewed journals.
Research at ESILV
Research conducted at ESILV contributes to the advancement of numerical methods applied to engineering and scientific computing.
By participating in international conferences such as NASCA26, ESILV faculty members share their work with the international research community and contribute to the development of new computational approaches to complex scientific challenges.
Learn more about ESILV’s research strategy