In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Taiwanese Journal of Mathematics, Vol. 10, No. 5 (September 2006), pp. 1329-1344 (16 pages) Consider the nonlinear matrix equation X + A* X⁻² A = I, where A is an n × n complex matrix, I the identity ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...