Nonlinear partial differential equations (PDEs) characterise a wide range of complex phenomena in science and engineering, from fluid dynamics to signal processing in biomedical systems. In recent ...

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...

The UB Department of Mathematics is pleased to announce that Professor Barbara Prinari is co-founder and deputy editor of Cambridge Core's Journal of Nonlinear Waves. Prinari's research adds ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

Quantum information researchers have tried to use linear equations as a key to unlock nonlinear differential ones for over a decade. One breakthrough came in 2010, when Dominic Berry , now at ...

Many physical phenomena – including heat transfer, fluid flow and electromagnetic wave propagation, to name just three – can be described using partial differential equations (PDEs). Apart from a few ...

Nonlinear partial differential equations (PDEs) are mathematical models that describe various phenomena in physics, engineering, and other fields. These equations can exhibit complex behaviors ...

The aim of the course is to study the three main types of partial differential equations: parabolic (diffusion equation), elliptic (Laplace equation), and hyperbolic (wave equation), and the ...