Partial Differential Equations
Explore equations and data; model equations; weak solutions and discretization. Concepts and connections are available independently of video coverage.
FOLLOW AN IDEA
Well-posedness
A well-posed problem has a solution, uniqueness and continuous dependence on data.
Explore concept graph · Explore connected videos
Different ways to understand it
No reviewed video yet. Explore the concept in a map or suggest a resource. Suggest a video
More concepts to explore
PDE classification
Second-order principal terms distinguish elliptic, parabolic and hyperbolic behavior under appropriate assumptions.
Partial differential equations
A PDE relates a multivariable unknown function to its partial derivatives.
Boundary value problems
Boundary data restrict a differential equation's solution on the edge of its domain.
Energy estimates
Bounds on integrated solution quantities help establish stability and uniqueness.
Finite element method
Piecewise basis functions approximate weak formulations over a subdivided domain.
Knowledge connections
- PDE classification · Related · Map context
- Partial differential equations · Related · Map context