Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations

• Published in: SIAM review Vol. 55; no. 2; pp. 205 - 267
• Main Authors: Feng, Xiaobing, Glowinski, Roland, Neilan, Michael
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
• Subjects: Applied mathematics; Astrophysics; Communities; Computer science; Engineering; Estimates; Geometry; Image processing; Lagrange multiplier; Mathematical models; Meteorology; Nonlinear differential equations; Nonlinear programming; Nonlinearity; Numerical analysis; Partial differential equations; Studies; SURVEY and REVIEW; United States > US

This article surveys the recent developments in computational methods for second order fully nonlinear partial differential equations (PDEs), a relatively new subarea within numerical PDEs. Due to their ever increasing importance in mathematics itself (e.g., differential geometry and PDEs) and in ma...