The aim of the course is the study of partial differential equations. The focus will be on first order quasilinear equations, and second order linear equations. The method of characteristics for ...

A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

(Courtesy: R.G. MacDonald, A. Yakovlev, and V. Pacheco-Peña, doi : 10.1117/1.APN.3.5.056007) Waveguide-based structures can solve partial differential equations by mimicking elements in standard ...

Under the hood, mathematical problems called partial differential equations (PDEs ... but at the heart of it is a PDE solver, ...