This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail. The author demonstrates how new ideas lead to significant progress in two main applications: the solution of invariant ordinary differential equations and the structure of Euler-Lagrange equations and conservation laws of variational problems. The expository language used here is primarily that...
This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particu...
Interest in global optimization has been ever increasing over the last decade due to the increasing areas of its application such robotics, chemical engineering, safety verification, and worst case scenario analysis. This book is intended as a short introduction to modeling and solving global optimization problems. Divided into two parts, the first introducing theoretical aspects, the book continues by introducing the open solver platform for such problems, the COCONUT environment. Suitable for graduate students, the book provides a practical user's guide to the subject.
Interest in global optimization has been ever increasing over the last decade due to the increasing areas of its application such robotics, chemical e...
Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical...
Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animal...