Mathematical Nonlinear Optics.
Technical rept. 1 Jul 94-31 Aug 95,
PRINCETON UNIV NJ PROGRAM IN APPLIED AND COMPUTATIONAL MATHEMATICS
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Mark Johnsons 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
- Numerical Mathematics