The ENUMATH conferences were established in 1995 to provide a forum for discussing current topics in numerical mathematics. They convene leading experts and young scientists, with special emphasis on contributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms, as well as their application to challenging scientific and industrial problems.

The topics of ENUMATH 99 included finite element methods, a posteriori error control and adaptive mesh design, non-matching grids, least-squares methods for partial differential equations, boundary element methods and optimization in partial differential equations. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications such as problems in computational fluid, electrodynamics, telecommunications software, as well as visualization.

Contents:

• A Survey of a Class of Algebraic Multilevel Iteration Methods for Positive Definite Symmetric Matrices (O Axelsson & P S Vassilevski)
• A Domain Decomposition Algorithm (J-L Lions & O Pironneau)
• High Order Generalized FEM for Lattice Materials (C Schwab & A-M Matache)
• Adaptive Multilevel Solutions of Nonlinear Parabolic PDE Systems (J Lang)
• A Posteriori Error Estimates for Boundary Value Problems with Obstacles (H M Buss & S I Repin)
• FEM–BEM Coupling for 3D Exterior Magnetic Field Problems (M Kuhn & O Steinbach)
• Simulation of Piezoelectric Surface Acoustic Wave Devices Using a Coupling of Integral Equations, Finite Elements and Fourier Modes (T Abboud et al.)
• Numerical Investigation of a Boundary Penalization Method for Maxwell Equations (M Costabel et al.)
• Direct Simulation of 2D Sedimentation (B Maury)
• Kalman Filtering Modelling for Traffic Control in Intelligent Networks (A Murgu & P Lehtinen)
• Some New Approaches to Generating and Certification of Robust Estimators in Nonlinear Regression (Y V Chebrakov & V Shmagin)
• Numerical Experiments with Nonlinear Least Squares FE Method Using a Family of Analytical Solutions for the 2D Navier–Stokes Equations (I E Kaporin)
• Iterative Solutions of Multimodels for Incompressible Flows (L Fatone et al.)
• Splitting Techniques for the Navier–Stokes Equations (H Haschke & W Heinrichs)
• Determination of Regularization Parameter in Monotone Active Set Method for Image Restoration (T Kärkkäinen & K Majava)
• Development of a Black-Box Solver for Nonlinear Systems of Elliptic and Parabolic PDE's (W Schönauer & T Adolph)
• Discussion on Convergence Conditions for Restarted GMRES (J Zítko)
• and other papers