In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...
27 KB (4,069 words) - 14:31, 13 August 2024
In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean...
20 KB (3,344 words) - 06:20, 21 June 2024
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete...
34 KB (5,677 words) - 07:20, 28 August 2024
=\nabla \cdot \nabla =\nabla ^{2}} is the Laplace operator, ∇ ⋅ {\displaystyle \nabla \cdot } is the divergence operator (also symbolized "div"), ∇ {\displaystyle...
32 KB (4,943 words) - 16:26, 10 June 2024
tensors of rank 0), the connection Laplacian is often called the Laplace–Beltrami operator. It is defined as the trace of the second covariant derivative:...
8 KB (1,101 words) - 20:40, 19 July 2024
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...
75 KB (9,390 words) - 06:38, 28 August 2024
partial differential equations, elliptic operators are differential operators that generalize the Laplace operator. They are defined by the condition that...
10 KB (1,499 words) - 00:27, 2 September 2024
The discrete Laplace operator Δ h u {\displaystyle \Delta _{h}u} depends on the dimension n {\displaystyle n} . In 1D the Laplace operator is approximated...
21 KB (3,573 words) - 10:03, 29 February 2024
Pierre-Simon, Marquis de Laplace (/ləˈplɑːs/; French: [pjɛʁ simɔ̃ laplas]; 23 March 1749 – 5 March 1827) was a French scholar whose work was important...
106 KB (13,231 words) - 07:46, 21 August 2024
Biharmonic equation (redirect from Bi-Laplace operator)
\nabla ^{4}} , which is the fourth power of the del operator and the square of the Laplacian operator ∇ 2 {\displaystyle \nabla ^{2}} (or Δ {\displaystyle...
4 KB (822 words) - 21:49, 8 August 2024