In a realm where precision meets speed, Professor Michael Feischl of the Institute of Analysis and Scientific Computing at TU Wien has been granted an ERC Consolidator Grant by the European Research Council (ERC) for his groundbreaking work in revolutionizing computational simulations. The project focuses on developing mathematical methods to solve partial differential equations with unprecedented precision, all while minimizing computational efforts.
When the world is simulated on a computer, precision is paramount. Professor Michael Feischl is at the forefront of addressing this challenge by developing advanced mathematical methods to solve partial differential equations, which form the basis of nearly every physical computer simulation. Whether in geophysics, astrophysics, fluid mechanics, electromagnetism, financial mathematics, or machine learning, these equations play a pivotal role in understanding complex systems.
The heart of Feischl’s research lies in adaptive grid fitting for partial differential equations. The standard approach involves dividing the simulated space into a grid, but Feischl aims to transform this process. His objective is to create a mathematical framework that adapts the grids intelligently based on the specific characteristics of the problem being addressed. This innovation seeks to strike an optimal balance between precision and computational speed, a challenge that has eluded researchers in the field.
Feischl’s ERC grant project is built on a groundbreaking mathematical discovery that paves the way for solving the longstanding challenge of adaptive grid fitting for realistic, time-dependent computational tasks. By combining expertise in finite element theory, matrix theory, non-linear partial differential equations, and error estimation, Feischl aims to push the boundaries of what is achievable in computational mathematics.
Michael Feischl’s trajectory in mathematics started at TU Wien, where he completed his studies and earned his doctorate in 2015. His research has taken him to prestigious institutions globally, including the University of New South Wales in Sydney, Australia, and the Karlsruhe Institute of Technology, where he served as a Junior Research Group Leader. After a professorship at the University of Bonn, Feischl returned to TU Wien as an Associate Professor in 2019. His achievements include receiving the DECRA Award in 2017, the highest Australian prize for young researchers. The ERC Consolidator Grant, valued at around 2 million euros, marks a significant milestone in Feischl’s illustrious career.
Michael Feischl’s ERC Consolidator Grant project holds the promise of transforming the landscape of computational mathematics. By addressing the intricate challenges of adaptive grid fitting, Feischl aims to redefine the precision and efficiency achievable in scientific computing, with potential applications across diverse fields. The grant positions Feischl as a trailblazer in the quest for high precision with minimal computational effort, heralding a new era in scientific simulations.
