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 ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...

Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...

The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all ...

homework sets (assigned roughly bi-weekly during the semester). class participation (extra points for helping me to make this class a lively one) projects (written project due at the end of the ...

High-fidelity simulations of dynamic embedded systems can be invaluable. This follow-up to “Modeling Dynamic Systems” (August 2000) presents some techniques and algorithms you might find useful. In a ...

This course is available on the BSc in Actuarial Science, BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics and BSc in Mathematics, Statistics ...

Researchers Kazuaki Takasan and Kyogo Kawaguchi of the University of Tokyo with Kyosuke Adachi of RIKEN, Japan, have demonstrated that ferromagnetism, an ordered state of atoms, can be induced by ...

Support mechanics are one of the most critical components in a linear motion design and set the stage for achievable performance in almost every metric. Options for components and methods range a ...