# List of partial differential equation topics

This is a **list of partial differential equation topics**, by Wikipedia page. See also list of equations, list of wave topics.

Table of contents |

2 Named partial differential equations 3 Numerical methods for PDES |

## Partial differential equations

- Boundary condition
- Boundary value problem
- Del
- Heat equation
- Wave equation
- Separation of variables
- Green's function
- Elliptic partial differential equation
- Primitive equations (hydrodynamics)
- Singular perturbation
- Noether's theorem
- H-principle
- Atiyah-Singer index theorem
- Bäcklund transform

## Named partial differential equations

- Laplace's equation
- Maxwell's equations
- Navier-Stokes equations
- Poisson's equation
- Schrödinger equation

## Numerical methods for PDES

- Finite difference
- Finite element method
- Finite volume method
- Multigrid
- Spectral method
- Computational fluid dynamics