The Origin of the Boundary Element Method and its Variants (Opening address).- Mathematical Aspects.- Green's Functions for the Boundary Element Method (Invited contribution).- Best Approximation of a Linear Operation Equation (Invited contribution).- On the Identification of Non-Linear Operators and its Application (Invited contribution).- Boundary Integral Equation Methods for Canonical Problems in Diffraction Theory (Invited contribution).- Methods of Construction of Fundamental Solutions of Decomposable Linear Differential Operators (Invited contribution).- A Generalized Approach to Transfer the Domain Integrals onto Boundary Ones for Potential Problems in BEM.- The Hybrid Boundary Element Method.- New Integral Equation Formulations for Continuum Mechanics.- Analyses of Infinite Reservoir Using the Boundary Element Method with Particular Integrals.- Convergence and Error Estimates.- Experimental Convergence of Boundary Element Methods for the Capacity of the Electrified Square Plate.- On the Stability of Boundary Element Methods for Integral Equations of the First Kind.- On Quadrature Methods and Spline Approximation of Singular Integral Equations.- Significance of Kernel Singularities for the Numerical Solution of Fredholm Integral Equations.- Accuracy and Efficiency of a Panel Method for Free Surface Flow Problem in Three Dimensions.- A-Posteriori Error Estimates and Adaptive Approaches for some Boundary Element Methods.- Numerical Aspects.- Adaptive Boundary Element Methods (Invited contribution).- A Comparison of the BEM and the T Matrix Methods (Invited contribution).- Construction of Equivalent Finite Element Functions Using BEM.- The Effect of Non-Convex Boundaries on Time Domain Boundary Element Solutions.- A New Numerical Algorithm for Solving Fundamental Solutions.- Adaptive Refinements in BEM.- Self-Adaptive P-Hierarchical Boundary Elements in Elastostatics.- A New Coordinate Transformation Method for Singular and Nearly Singular Integrals over General Curved Boundary Elements.- Development of Overhauser Splines as Boundary Elements.- Coupling Be/Fe Methods and Other Coupling Methods.- Symmetric Methods for the Coupling of Finite Elements and Boundary Elements (Invited contribution).- On Some Coupled Problems in Mechanics by the Coupling Technique of Boundary Element and Finite Element (Invited contribution).- On Coupling of the Boundary Element and R-Function Methods.- On Simplified Hybrid Methods for Coupling of Finite Elements and Boundary Elements.- Computational Aspects.- The Panel Clustering Technique for the Boundary Element Method (Invited contribution).- Multigrid Methods in Boundary Element Calculations (Invited contribution).- Linear Equations Solver for Large Block Matrices Arising in BEM.- Nonlinear Equations Solver for Large Equations Sets Arising When Using BEM in Inhomogenous Regions of Nonlinear Material.- Resolving Difficulties in the BIEM Caused by Geometric Corners and Discontinuous Boundary Conditions.- Software.- Industrial Application of the Boundary Element System BETSY.- Integrated Design and Analysis using the Boundary Element Method.- Boundary Elements on Personal Computers.- Murphy's Law in Boundary Element Implementations.- Computer Programme KYOKAI.F for Viscous and Thermal Fluid Flow Problems.- DBETSY - Industrial Application of the BEM.