elliptic differential equation

elliptic differential equation

[ə′lip·tik dif·ə¦ren·chəl i′kwā·zhən]
(mathematics)
A general type of second-order partial differential equation which includes Laplace's equation and has the form where Aij , Bi , C, and F are suitably differentiable real functions of x1, x2, …, xn , and there exists at each point (x1, x2, …, xn ) a real linear transformation on the xi which reduces the quadratic form to a sum of n squares, all of the same sign. Also known as elliptic partial differential equation.
References in periodicals archive ?
The mimetic Laplacian approximation is embedded into the matrix operator BG + DG, which here is used for the discretization of certain families of elliptic differential equations with Robin boundary conditions.
Marano, Implicit elliptic differential equations, Set-Valued Anal.
If I stuck around for the afternoon, I could squeeze in new lectures on Fluid Dynamics or Numerical Solutions of Elliptic Differential Equations.
Most people would break into a nervous sweat just thinking about the prospect of taking an exam in numerical solutions of elliptic differential equations.
The numerical solution of parabolic and elliptic differential equations, J.

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