Roberto Ferretti – författare
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2 produkter
2 produkter
Häftad, Engelska, 2013
1 299 kr
Skickas inom 5-8 vardagar
This largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The developments covered in the text and the references come from a wide range of literature.Audience: Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations is written for advanced undergraduate and graduate courses on numerical methods for PDEs and for researchers and practitioners whose work focuses on numerical analysis and numerical methods for nonlinear hyperbolic PDEs.
Del 29 - Springer INdAM Series
Numerical Methods for Optimal Control Problems
Inbunden, Engelska, 2019
1 183 kr
Skickas inom 10-15 vardagar
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.