List of partial differential equation topics

This is a list of partial differential equation topics.

General topics

 * Partial differential equation
 * Nonlinear partial differential equation
 * list of nonlinear partial differential equations
 * Boundary condition
 * Boundary value problem
 * Dirichlet problem, Dirichlet boundary condition
 * Neumann boundary condition
 * Stefan problem
 * Wiener–Hopf problem
 * Separation of variables
 * Green's function
 * Elliptic partial differential equation
 * Singular perturbation
 * Cauchy–Kovalevskaya theorem
 * H-principle
 * Atiyah–Singer index theorem
 * Bäcklund transform
 * Viscosity solution
 * Weak solution
 * Loewy decomposition of linear differential equations

Specific partial differential equations

 * Broer–Kaup equations
 * Burgers' equation
 * Euler equations
 * Fokker–Planck equation
 * Hamilton–Jacobi equation, Hamilton–Jacobi–Bellman equation
 * Heat equation
 * Laplace's equation
 * Laplace operator
 * Harmonic function
 * Spherical harmonic
 * Poisson integral formula
 * Klein–Gordon equation
 * Korteweg–de Vries equation
 * Modified KdV–Burgers equation
 * Maxwell's equations
 * Navier–Stokes equations
 * Poisson's equation
 * Primitive equations (hydrodynamics)
 * Schrödinger equation
 * Wave equation

Numerical methods for PDEs

 * Finite difference
 * Finite element method
 * Finite volume method
 * Boundary element method
 * Multigrid
 * Spectral method
 * Computational fluid dynamics
 * Alternating direction implicit

Related areas of mathematics

 * Calculus of variations
 * Harmonic analysis
 * Ordinary differential equation
 * Sobolev space