New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications
Final technical rept. 15 Jan 87-14 Oct 90,
EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE
Pagination or Media Count:
The authors have studied a novel numerical solution approach to Monge Ampere type equations. The equations have important applications. In particular, the leading term in the balance equation in dynamic meteorology has the form 1 . In a more complicated form, an equation of this type appears in the von Karman system of equations for elasticity and also in inverse problems of geometric optics. It also turned out that recent progress in the study of fully nonlinear equations became possible after important properties of the equation 1 were discovered.
- Numerical Mathematics