partial differential in a sentence

Examples

1. The six partial differential equations above represent six independent Reynolds stresses.
2. Partial differential equations ( PDEs ) are used in all sciences to model phenomena.
3. Large sparse systems often arise when numerically solving partial differential equations or optimization problems.
4. In financial mathematics it is used to solve the Black Scholes partial differential equation.
5. In the study of characteristics of the partial differential equation.
6. These integral curves are called the characteristic curves of the original partial differential equation.
7. Is it an elliptic partial differential equation, like Laplace's equation?
8. In mathematics, it is the prototypical parabolic partial differential equation.
9. Typically one needs to employ methods from partial differential equations to solve such problems.
10. Sobolev spaces are often considered when investigating partial differential equations.