Applications of Lie Group Integrators and Exponential Schemes

摘要

OUTLINE: Part I (Introductory) (a) Linear IVPs, Eigenvalue problems, linear PDEs; (b) Manifolds ('stay on manifold' principle); (c) Classical problems ('curved path' principle). Part II (Recent results on exponential integrators) (a) A unified approach to exponential integrators; (b) Order theory; (c) Bounds for dimensions of involved function spaces.