This volume contains the proceedings of an international symposium on applied and computational mathematics held in Munich in July 1999 and organized by the Collaborative Research Centre "Mathematical Modelling, Simulation, and Verification in Material-Orientated Processes and Intelligent Systems" (Sfb 438) on the occasion of Karl-Heinz Hoffmann's 60th birthday.The 19 contributions from both members of the Sfb and invited experts in mathematical modelling and numerical simulation cover various topics from scientific computing, ranging from numerical linear algebra to fields of applications such as turbulent flows, free boundaries, phase transitions, shape memory alloys, and others.