The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the ...

This analog computer on a chip is useful for certain kinds of operations that CPUs are historically not efficient at, including solving differential equations. Other applications include matrix ...

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 ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Under the hood, mathematical problems called partial differential equations (PDEs) model these natural processes. Among the ...

The new artificial intelligence framework, called DIMON (Diffeomorphic Mapping Operator Learning), isn’t restricted by any ...

Elliptic partial differential equations (PDEs) are a class of equations that arise in various fields, including physics, engineering, and mathematics. They are characterized by their smooth ...

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 ...

Discontinuous Galerkin (DG) methods are a class of numerical techniques used to solve partial differential equations (PDEs). These methods are particularly useful for problems where traditional ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...