Applications of Lie groups to differential equations Peter J. Olver
Publisher: Springer-Verlag

A series of roughly biennial conferences on computational and application aspects of Algebraic Geometry and related topics with very high standards. Applications of Field Theory to Statistical Mechanics. Dr Colm Connaughton Non-equilibrium statistical mechanics, fluid Numerical and applied analysis of partial differential equations; free boundary problems; computational applied mathematics. In most real-life applications, the differential equations, which are used to model a certain situation, contain arbitrary functions of dependent variable or its derivatives and independent variables. Professor Keith Ball Functional Analysis, High-dimensional and Discrete Group theory, groups of Lie type, finite simple groups. They provide a natural framework for analysing the continuous symmetries of differential equations (Differential Galois theory), in much the same way as permutation groups are used in Galois theory for analysing the discrete symmetries of algebraic equations. New SIAG officers have been elected for several of SIAM's activity groups. Applications of Lie groups to differential equations. Applications of classical physics. An extension of Galois theory to .. The decomposition of Lie algebras, and functionality for the construction of a solvable Lie group from its Lie algebra. She served He is also a professor of mathematics at the University of Bergen and senior scientist at the Centre of Mathematics for Applications at the University of Oslo. Terms began A mathematics professor at Penn State University, she works in the areas of partial differential equations, fluid mechanics and elasticity, numerical analysis, inverse problems, and harmonic analysis. However this is inadequate for many applications, because many natural examples of infinite dimensional Lie groups are not Banach manifolds. Dynamical systems and applications to physics; exponential asymptotics.