Accession Number : ADA303941

Title :   Mathematical Nonlinear Optics.

Descriptive Note : Technical rept. 1 Jul 94-31 Aug 95,

Corporate Author : PRINCETON UNIV NJ PROGRAM IN APPLIED AND COMPUTATIONAL MATHEMATICS

Personal Author(s) : McLaughlin, David W.

PDF Url : ADA303941

Report Date : 02 NOV 1995

Pagination or Media Count : 4

Abstract : Mark Johnson's research during the past two years has addressed low-dimensional behavior in dynamical systems and dissipative partial differential equations specifically (1) Computation of 2-D Invariant Manifolds and (2) Low-Dimensional Dynamics in PDEs. His emphasis has been on scientific computing and the successful approximation of global dynamical phenomena. He has obtained preliminary results in several directions, including numerical and interactive representations of invariant manifolds and global bifurcation result on discretization of PDEs. This work provides Johnson with several alternatives to be pursued toward his thesis. (AN)

Descriptors :   *NONLINEAR OPTICS, *PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL MODELS, COMPUTATIONS, PARAMETERS, TWO DIMENSIONAL, OPTICAL ANALYSIS, APPROXIMATION(MATHEMATICS), SYSTEMS ANALYSIS, INTERACTIVE GRAPHICS, BIFURCATION(MATHEMATICS).

Subject Categories : Numerical Mathematics
      Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE