Abstract Volume 5 (2005) of PAMM “Proceedings in Applied Mathematics and Mechanics” assembles the contributions to the GAMM Annual Meeting 2005, held 28 March–01 April 2005 in Luxembourg. The contributions are grouped according to the minisymposia and sessions of the conference. Minisymposia M1 Water Waves M2 Procedures and Applications of Stochastic Optimization in Traffic Engineering M3 Levelset methods M4 Inverse Problems, Parameter Estimation M5 Multifield Problems M6 Computational Methods in Limit Load and Shakedown Analysis M7 Soft Tissue Biomechanics M8 Structure Dynamics and Transport in Soils Young researchers' Minisymposia (Nachwuchssymposien) N1 Computational Optimisation with Differential Equations N2 Computational Inverse Problems N3 Rolling Contact Mechanics N4 Microstructure in Extended Continua: Modeling and Analysis for Solids Sessions 1–25 1 Linear and Nonlinear Oscillations 2 Stability and Control Theory 3 Multibody Systems and Kinematics 4 Elasticity and Viscoelasticity 5 Plasticity 6 Theory of Materials 7 Damage and Fracture 8 Computational Solid Mechanics 9 Computational Fluid Mechanics 10 Experimental Methods and Identification 11 Gas Dynamics and Rarefield Gases 12 Viscous Flows 13 Transition and Turbulence 14 Heat and Mass Transfer, Convective Flows 15 Multiphase Flows, Flows of Reactive Fluids 16 Waves, Acoustics 17 Applied Analysis 18 Mathematical Methods of the Natural and Engineering Sciences 19 Computer Algebra and Computer Analysis 20 Applied Stochastics, Operations Research 21 Optimisation 22 Numerical Analysis 23 Applied and Numerical Linear Algebra 24 Numerical Treatment of Ordinary and Differential‐Algebro Equations 25 Numerical Treatment of Partial Differential Equations