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 ?
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.
I've learned the basic skills of elliptic differential equations from him.

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