These papers cover such topics as the convergence theory of particle methods for multi-dimensional Vlasov-Poisson systems; order stars for general linear methods; and finite volume methods for conservation laws. The book should be of interest to applied mathematicians and mathematic physicists.
A finite element method for the Poisson equation in a planar exterior domain, T. Ushijima; a panoramic of the kink - impurity interaction in the Sine-Gordon and Phi-4 models, L. Vazquez; the convergence theory of particle methods for multi-dimensional Vlasov-Poisson systems, H.D. Victory; order stars for general linear methods, G. Wanner; third order nonoscillatory schemes for Euler equations, J.Y. Yang; recent advances in self-adaptive multilevel finite element methods for PDE's, P. Deuflhard; formal dynamical systems and numerical algorithms, K. Feng; finite volume methods for conservation laws, D. Kroener; from finite elements to interpolated finite elements, Q. Lin; semistructural multigrid methods of finite elements, V. Shaidurov; on an energy-orthogonal; element and its improvement, Z.C. Shi; symplectic integration for macromolecular dynamics, R. Skeel; differential geometry of a linear programming problem, K. Tanabe; blow-up of perturbed conservation laws, A. Tesei; completely discrete methods for parabolic equations with memory, V. Thomee. (Part contents).