Differential-Algebraic Equations and Operator Pencils (23w5056)


Mark Embree (Virginia Tech)

(University of Waterloo)

(Technische Universität Ilmenau)

(University of Twente)


The Banff International Research Station will host the "Differential-Algebraic Equations and Operator Pencils" workshop in Banff from April 16 to April 21, 2023.

This workshop would bring together two mathematical disciplines: differential-algebraic equations and operator pencils.

Research on differential-algebraic equations is mainly done by people originating in numerical analysis, numerical linear algebra and systems theory.
On the other hand, operator pencils is a concept from functional analysis, in particular, spectral theory. The link between these disciplines is that the study of differential-algebraic equations naturally leads to the analysis of operator pencils. There is a high potential that the achievements on operator pencils can contribute to the analysis on differential-algebraic equations and vice versa. However, so far, these two communities have not communicated.

The topics considered at the workshop would reflect a broad range of areas:
functional analysis, spectral theory, abstract linear algebra, solution theory, stability theory, optimal control, systems theory, and numerical analysis.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).