The gas-kinetic methods for viscous flow simulations have attracted much attention and become mature during the past decade. Ever since they were originally invented for compressible gas flows, the gas-kinetic methods have been extended to various viscous flow problems with a large number of applications. This book not only provides an introduction to the gas-kinetic methods, but also presents some recent progress on these useful and powerful methods. Besides the original gas-kinetic finite volume scheme for the Euler and Navier-Stokes equations, the book also covers in detail the following...