Böcker av Shijun (Shanghai Jiao Tong University Liao

A new strategy to gain "clean" reliable numerical simulations of chaos and turbulence, namely the Clean Numerical Simulation (CNS), which can greatly reduce numerical noises to a tiny level much smaller than that of true solutions so numerical noises are negligible, and the corresponding numerical simulation is "clean" and thus reliable.

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces an analytic method for nonlinear problems - homotopy analysis - that remains valid even with strong nonlinearity. It explores the details of this valuable approach.