Symmetry in the Numerical Resolution of the Elliptic Monge-Ampere Equation
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: closed (31 December 2015) | Viewed by 8142
Special Issue Editor
Special Issue Information
Dear Colleagues,
The Monge-Ampere equation is a fully nonlinear partial differential equation which appears in a wide range of applications, e.g., optimal transportation and reflector design. One notion of the weak solution of the equation is based on the old technique of approximation by smooth functions. For smooth solutions, the equation consists in prescribing the determinant of the Hessian matrix, a symmetric matrix field.
This Special Issue of Symmetry features articles with proven convergence proofs for smooth solutions and numerically robust to handle non smooth solutions.
Prof. Dr. Gerard Awanou
Guest Editor
Manuscript Submission Information
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Keywords
- Monge-Ampere
- classical solutions
- symmetric matrix fields
- convergence
- approximation by smooth functions
