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 ...

Many examples are discussed, and the book includes more than 100 exercises ... How to use Lie point symmetries of partial differential equations I: generating solutions by symmetry 18. How to use Lie ...

This is a two volume introduction to the computational solution of differential equations using a unified approach organized around the adaptive finite element method. It presents a synthesis of ...

Under the hood, mathematical problems called partial differential equations ... The most famous example in this class is the ...