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 ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

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 ...

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 ...

These types of problems arise in biology and ... A Framework for Solving Parabolic Partial Differential Equations on Discrete Domains, ACM Transactions on Graphics (2024). DOI: 10.1145/3666087 ...

"While the exact form of this function is not known, we can approximate this scattering amplitude for specific types of interactions ... satisfy certain partial differential equations, and found ...