Download or read book Frontiers in Mathematical Analysis and Numerical Methods written by Li Tatsien and published by World Scientific. This book was released on 2004-07-26 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc. Contents:Stable and Unstable Ideal Plane Flows (C Bardos et al.)Sensitivity of Darcy's Law to Discontinuities (C Bernardi & O Pironneau)Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations (J Byström et al.)On the Connection in Finsler Space (S S Chern)On the Classification of Initial Data for Nonlinear Wave Equations (C Gu)Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems (T Li & B Rao)On Nonlinear Differential Galois Theory (B Malgrange)Quadrilateral Mesh (P Ming & Z Shi)On the Hyperbolic Obstacle Problem of First Order (J F Rodrigues)and other articles Readership: Graduate students and researchers in applied mathematics, numerical analysis and applied science. Keywords:Partial Differential Equation;Differential Geometry;Numerical Method;Control Theory;Fluid Dynamics;Jacques-Louis LionsKey Features:Most of the articles are by well-known mathematiciansResults presented are important to analysis and numerical methodsContains an introduction to Jacques-Louis Lions