Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

Neuromorphic computers, inspired by the architecture of the human brain, are proving surprisingly adept at solving complex ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Although the world in which we live in is non-linear, or multi-dimensional, engineers and scientists have long used linear mathematical formulas to create models to predict physical phenomena such as ...

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 ...