List of partial differential equation topics
Appearance
This is a list of partial differential equation topics.
General topics
[edit]- Partial differential equation
- Boundary condition
- Boundary value problem
- Separation of variables
- Green's function
- Elliptic partial differential equation
- Singular perturbation
- CauchyâKovalevskaya theorem
- H-principle
- AtiyahâSinger index theorem
- BĂ€cklund transform
- Viscosity solution
- Weak solution
- Loewy decomposition of linear differential equations
Specific partial differential equations
[edit]- BroerâKaup equations
- Burgers' equation
- Euler equations
- FokkerâPlanck equation
- HamiltonâJacobi equation, HamiltonâJacobiâBellman equation
- Heat equation
- Laplace's equation
- KleinâGordon equation
- Kortewegâde Vries equation
- Maxwell's equations
- NavierâStokes equations
- Poisson's equation
- Primitive equations (hydrodynamics)
- Schrödinger equation
- Wave equation
Numerical methods for PDEs
[edit]- Finite difference
- Finite element method
- Finite volume method
- Boundary element method
- Multigrid
- Spectral method
- Computational fluid dynamics
- Alternating direction implicit