Elliptic partial differential equations have applications in almost all areas of mathematics, from harmonic analysis to geometry to Lie theory, ...
mathworld.wolfram.com/EllipticPartialDifferentialEquati... mathworld.wolfram.com/EllipticPartialDifferentialEquation.html
Sep 13, 2000 ... the PDE is said to be elliptic. Laplace's equation and Poisson's equation are examples. Boundary conditions are used to give the constraint ...
mathworld.wolfram.com/PartialDifferentialEquation.html mathworld.wolfram.com/PartialDifferentialEquation.html
Elliptic operator - Wikipedia, the free encyclopedia
In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex-valued functions, or some more general function-like objects. What is ...
en.wikipedia.org/wiki/Elliptic_operator
Partial differential equation - Wikipedia, the free encyclopedia
In mathematics, partial differential equations ( PDE ) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several independent variables and its (...
en.wikipedia.org/wiki/Partial_differential_equation
1 An elliptic partial-differential equation The Poisson equation is an example of an elliptic partial-differential equation. ... Introduction to the Differential Equations of Physics. Dover Publications. 1948. It's a Dover book. What more needs to be said? 8 Hugh Hildreth Skilling. Fundamentals of Electric Waves.
www.cs.oswego.edu/~wender/Classes/454/Notes/FiniteDiffe... www.cs.oswego.edu/~wender/Classes/454/Notes/FiniteDifferences.pdf
rdfs:label Numerical solution of elliptic partial differential equation using radial basis function neural networks. (xsd:string)
dblp.l3s.de/d2r/resource/publications/journals/nn/LiLQH... dblp.l3s.de/d2r/resource/publications/journals/nn/LiLQH03
This paper is devoted to the identification of a parameter in an elliptic partial differential equation from noisy distributed data. It can be divided into two parts. In the first part we only consider smooth parameters and we propose a well-posed formulation, which takes measurement errors into account.
www.iop.org/EJ/abstract/0266-5611/15/1/027
D. C. Ghiglia and L. A. Romero. Direct phase estimation from phase differences using fast elliptic partial differential equation solvers. Optical Letters, 14:1107--1109, 1989. ... D. C. Ghiglia and L. A. Romero, "Direct phase estimation from phase differences using fast elliptic partial differential equation solvers," Opt.
citeseer.ist.psu.edu/context/33918/0
Consider an orientable C00 Riemannian manifold R of dimension w ^ 2 and an elliptic partial differential equation Au=Pu on R with; ... Riemannian manifolds and the equation Au —Pu, Math. Z. (to appear). 3. L. Myrberg, Über die Existenz der Greenschen Funktion der Gleichung Au — c(P)u auf Riemannschen Fldchen, Ann.
www.ams.org/bull/1971-77-03/S0002-9904-1971-12725-8/S00... www.ams.org/bull/1971-77-03/S0002-9904-1971-12725-8/S0002-9904-1971-12725-8.pdf
Mesh Generation Using Unstructured Computational Meshes and Elliptic Partial Differential Equation Smoothing ... The computational mesh is used to solve elliptic partial differential equations that control grid point distributions and improve mesh quality. Two types of elliptic partial differential equations are...
www.utc.edu/Research/SimCenter/publications/AIAA-2005-0... www.utc.edu/Research/SimCenter/publications/AIAA-2005-0923.html