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This book is about the results of a number of projects funded by the BMBF in the initiative a oeMathematics for Innovations in Industry and Servicesa . It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other

Engineering mathematics --- Industrial applications. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics

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The articles in this volume summarize the research results obtained in the former SFB 359 "Reactive Flow, Diffusion and Transport" which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. Typical examples are the chemical processes in flow reactors and in the catalytic combustion at surfaces. Further examples are models of star formation including diffusive mass transport, energy radiation and dust formation and the polluting transport in soil and waters. For these complex processes mathematical models are established and numerically simulated. The modeling uses multiscale techniques for nonlinear differential equations while for the numerical simulation and optimization goal-oriented mesh and model adaptivity, multigrid techniques and advanced Newton-type methods are developed combined with parallelization. This modeling and simulation is accompanied by experiments.

Chemical kinetics --- Diffusion --- Fluid dynamics --- Transport theory --- Mathematical models. --- Global analysis (Mathematics). --- Mathematics. --- Computer science. --- Engineering. --- Chemistry. --- Analysis. --- Applications of Mathematics. --- Computational Science and Engineering. --- Computational Intelligence. --- Theoretical and Computational Chemistry. --- Informatics --- Science --- Physical sciences --- Construction --- Industrial arts --- Technology --- Math --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Computational intelligence. --- Chemistry, Physical and theoretical. --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Computer mathematics --- Electronic data processing --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.1 Mathematical analysis

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Cytodiagnosis --- Pathology, Cellular --- Central nervous system diseases --- Cytodiagnostics --- Cytopathologie --- Système nerveux central --- Atlases --- Atlases --- Atlas --- Maladies --- Atlas