Article: The Complex Monge-Ampere Equation and Pluripotential Theory.(Brief Article)(Book Review)

Article: An augmented Lagrangian approach to the numerical solution of the ...
Electronic Transactions on Numerical Analysis;  January 1, 2006 ;     700+ words ... ... problem for the real elliptic Monge-Ampere equation, in two dimensions, by an augmented ... article. Key words. elliptic Monge-Ampere equation, augmented Lagrangian algorithms ... two-dimensional elliptic Monge-Ampere equation (called E-MAD (!) problem in ...

Article: Approximating the value functions of stochastic knapsack ...
International Journal of Mathematics and Statistics;  September 22, 2008 ;     700+ words ... ... diffusion approximation, Monge-Ampere equation. 2000 Mathematics Subject Classification ... we obtain is a solution of Monge-Ampere equation, one of the most important nonlinear ... partial differential equations. Monge-Ampere equation was linked to crucial quantities in ...

Article: Research on physics detailed by Y. Nutku and co-authors.
Physics Week;  October 28, 2008 ;     498 words ..."We discover a multi-Hamiltonian structure of a complex Monge-Ampere equation (CMA) set in a real first-order 2-component form. Therefore, by Magri's theorem this is a completely integrable system ...

Article: New findings in mathematics described from Tor Vergata ...
Journal of Mathematics;  December 30, 2008 ;     444 words ... ... dimension n. For a fixed point p epsilon partial derivative D, we consider the solution of a homogeneous complex Monge-Ampere equation with a simple pole at p. We prove that such a solution enjoys many properties of the classical Poisson ...

Article: Reports outline mathematics research from University of ...
Journal of Mathematics;  June 9, 2009 ;     700+ words ... ... problem for the fully nonlinear Monge-Ampere equation det(D(2)u(0)) = f (> ... second-order fully nonlinear Monge-Ampere equation is approximated by the fourth order ... Dirichlet problem for the Monge-Ampere equation. This result then opens a door for ...

Article: New physics research from M.J.P. Cullen and colleagues discussed.
Physics Week;  September 9, 2008 ;     545 words ... ... lack of regularity of solutions to the Monge-Ampere equation, which underlies the solution procedure. In ... formally that the modified form of the Monge-Ampere equation that appears in the solution procedure for the ...

Article: New antennas and propagation findings from Nanjing University ...
Journal of Engineering;  November 11, 2009 ;     700+ words ... ... edge-element is the linear combination of those face elements whose faces contain the given edge, only the Maxwell-Ampere equation composes a sparse linear matrix equation for the electric field update; the Maxwell-Faraday equation is explicit. The ...