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Project: Pollution-free approximation techniques for fractional integro-differential equations

In the project, mathematical theory and software are developed to calculate resonances without the risk of false solutions. The focus is on a large class of equations that describe many technical and natural science systems.

Project information

Project manager
Christian Engström
Participating organizations
Linnaeus University
The Swedish Research Council (SRC) – Project
2022-01-01 – 2025-12-31
Mathematics (Department of Mathematics, Faculty of Technology)
Research group
Computational Mathematics for Predictive Digital Twins (PreDiTwin)

More about the project 

Standard numerical methods often prove unreliable for operators with a non-trivial essential spectrum. In our project, we introduce a novel approximation technique for fractional integro-differential equations that entirely circumvents spurious eigenvalues. This approach targets a significant class of equations with diverse applications in physics, economics, and biology.

The project is part of the research in the research group Computational Mathematics for Predictive Digital Twins (PreDiTwin)