This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physis (11th TMP), held in Chemnitz, Germany, March 25-28th, 1999. The conference was dedicated to Siegfried Prossdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics covered range from: integral and pseudodifferential equations; boundary value problems; operator theory; boundary element and wavelet methods; approximation theory and inverse problems; to various concrete problems and applications in physics and engineering. All the topics reflect Siegfried Prossdorf’s broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Prossdorf and includes a list of his publications.