Linearization -- Fixed-Point Theorems -- Degree Theory and Applications -- Minimization Methods -- Topological and Variational Methods.Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered thr…
Fundamentals -- From Autonomy to AOC -- AOC at a Glance -- Design and Engineering Issues -- A Formal Framework of AOC -- AOC in Depth -- AOC in Constraint Satisfaction -- AOC in Complex Systems Modeling -- AOC in Optimization -- Challenges and Opportunities.Autonomy Oriented Computing explores the important theoretical and practical issues in AOC, by analyzing methodologies and presenting exper…
Molecular Structure and Energy States -- Some Basic Concepts of Kinetic Theory -- Interaction of Molecules with Solid Surface -- Free Molecular Flow -- Continuum Models -- Transitional Regime -- Direct Simulation Monte-Carlo (DSMC) Method -- Microscale Slow Gas Flows, IP Method.This book elucidates the methods of molecular gas dynamics or rarefied gas dynamics which treat the problems of gas fl…