The Applied Analysis Teaching and Research Group is involved in the development of rigorous analytic and constructive methods for solving differential and integral equations arising in the applied sciences.
Particular attention is paid to nonlinear evolutionary processes and operator equations.
Specific interests include:
- application of semigroup theory to coagulation-fragmentation equations and other evolutionary processes
- qualitative theory of nonlinear dynamical systems in material science and mathematical biology
- solution theory for evolutionary equations from mathematical physics
- fractional integral transformations, including the fractional Fourier transform
- differential operators with interior singularities
- spectral theory of block operator matrices and operator functions
- distributional spectral theory
- multiparameter spectral theory
- spectral graph theory
- complex networks: theory and applications
- mathematical chemistry
Collaboration links have been developed with researchers in:
A model of photon transport in an interstellar cloud (Dr Wilson Lamb, Professor Adam McBride and the late Aldo Belleni-Morante, former Visiting Professor)
- Berlin
- Bern
- Cardiff
- Concepcion
- Dresden
- Durban
- Haifa
- Islamabad
- Jerusalem
- Karlsruhe
- Kragujevac
- Lisbon
- Lund
- Madrid
- Mainz
- Maryland
- Memphis
- Paris
- Rome
- Santiago de Compostela
- Sofia
- Stanford
- Tarragona
- Tbilisi
- Tel-Aviv
- Tokyo
- Vienna
- Wisconsin.
Teaching and Research Group members
- Professor Ernesto Estrada (Acting Head of Group)
- Dr Michael Grinfeld
- Dr Wilson Lamb
- Dr Matthias Langer
- Dr Des McGhee