List of partial differential equation topics
This is a list of partial differential equation topics.
General topics
- Partial differential equation
- 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
- 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