# Category:Differential operators

Computing portal |

Here is a list of articles in the Differential operators category of the Computing portal that unifies foundations of mathematics and computations using computers.

In mathematics, a **differential operator** is a linear operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning another (in the style of a higher-order function in computer science).

## Subcategories

This category has only the following subcategory.

### C

## Pages in category "Differential operators"

The following 53 pages are in this category, out of 53 total.

- Differential operator
*(computing)*

### A

- Atiyah–Singer index theorem
*(computing)*

### B

- Bernstein–Sato polynomial
*(computing)*

### C

- Cauchy–Euler operator
*(computing)* - Constant coefficients
*(computing)* - Curl (mathematics)
*(computing)* - Curl operator
*(computing)*

### D

- D'Alembert operator
*(computing)* - Del
*(computing)* - Dirac operator
*(physics)* - Dirichlet eigenvalue
*(computing)* - Div operator
*(computing)* - Divergence
*(computing)*

### E

- Elliptic operator
*(computing)* - Eta invariant
*(computing)* - Exterior calculus identities
*(computing)* - Exterior derivative
*(computing)*

### F

- Functional derivative
*(computing)*

### G

- GJMS operator
*(computing)* - Grad operator
*(computing)* - Graded (mathematics)
*(computing)* - Gradient
*(computing)*

### H

- Hessian matrix
*(computing)* - Homogeneous function
*(computing)* - Hypoelliptic operator
*(computing)*

### I

- Infinity Laplacian
*(computing)* - Invariant differential operator
*(computing)* - Invariant factorization of LPDOs
*(computing)*

### K

- Kato's conjecture
*(computing)*

### L

- Lagrangian system
*(computing)* - Laplace invariant
*(computing)* - Laplace operator
*(computing)* - Laplace operators in differential geometry
*(computing)* - Laplace–Beltrami operator
*(computing)* - Lie algebroid
*(computing)* - Lie derivative
*(computing)*

### N

- Nabla symbol
*(computing)*

### P

- Paneitz operator
*(computing)* - Partial derivative
*(computing)* - Peetre theorem
*(computing)* - Proofs involving the Laplace–Beltrami operator
*(computing)* - Pseudo-differential operator
*(computing)*

### Q

- Quasi-exact solvability
*(computing)*

### R

- Rot operator
*(computing)*

### S

- Semi-elliptic operator
*(computing)* - Shift theorem
*(computing)* - Symbol of a differential operator
*(computing)*

### T

- Theta operator
*(computing)* - Total derivative
*(computing)*

### U

- Ultrahyperbolic equation
*(computing)*

### W

- Weitzenböck identity
*(computing)* - Weyl algebra
*(computing)* - Wirtinger derivatives
*(computing)*