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This book originated from seminars given at the Institute of Nuclear Energy Technology (INET) of Tsinghua University, China, by the author in 1999. The courses gave graduate students a basic understanding of numerical techniques that would enable them to deal with problems of Computational Fluid Dynamics (CFD) and of molecular dynamics at research level. In subsequent years the lecture notes have been re-organized and implemented for students of atmospheric sciences of the Physics Department of the University of Ferrara, Italy. The lecture notes are divided into eight chapters, where some...