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Spectral Geometry of Graphs
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph. The book has two central themes: the trace formula and inverse problems. The trace formula is relating the spectrum to the set of periodic orbits and is compara…
- Edition
- -
- ISBN/ISSN
- 978-3-662-67872-5
- Collation
- XVI, 639
- Series Title
- -
- Call Number
- -
Elementary Symplectic Topology and Mechanics
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-11026-4
- Collation
- 33 b/w illustrations, 11 illustrations in colour
- Series Title
- -
- Call Number
- -
Variational Analysis and Aerospace Engineering Mathematical Challenges for t…
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics metho…
- Edition
- -
- ISBN/ISSN
- 978-3-319-45680-5
- Collation
- -
- Series Title
- -
- Call Number
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Variable-Structure Approaches Analysis, Simulation, Robust Control and Estim…
This edited book aims at presenting current research activities in the field of robust variable-structure systems. The scope equally comprises highlighting novel methodological aspects as well as presenting the use of variable-structure techniques in industrial applications including their efficient implementation on hardware for real-time control. The target audience primarily comprises resear…
- Edition
- -
- ISBN/ISSN
- 978-3-319-31539-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Finite Approximations in Discrete-Time Stochastic Control
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-79033-6
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Convex Analysis and Global Optimization
This book presents state-of-the-art results and methodologies in modern global optimization, and has been a staple reference for researchers, engineers, advanced students (also in applied mathematics), and practitioners in various fields of engineering. The second edition has been brought up to date and continues to develop a coherent and rigorous theory of deterministic global optimization, hi…
- Edition
- 2
- ISBN/ISSN
- 9783319314846
- Collation
- -
- Series Title
- Springer Optimization and Its Applications
- Call Number
- 518.6
Convex optimization in normed spaces : theory, methods and examples
Este trabajo pretende servir como guía para estudiantes de posgrado e investigadores que deseen familiarizarse con las principales herramientas teóricas y prácticas para la minimización numérica de funciones convexas en espacios de Hilbert. Por lo tanto, contiene las principales herramientas necesarias para realizar investigaciones independientes sobre el tema. También es un libro de text…
- Edition
- 1
- ISBN/ISSN
- 9783319137100
- Collation
- xiv, 124 pages
- Series Title
- SpringerBriefs in Optimization
- Call Number
- 515.64
Approximate Solutions of Common Fixed-Point Problems
This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. According to know results, these algorithms should converge to…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-33255-0
- Collation
- IX, 454
- Series Title
- Springer Optimization and Its Applications
- Call Number
- 518 ZAS a
Turnpike Theory of Continuous-Time Linear Optimal Control Problems
Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis. Two…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19141-6
- Collation
- -
- Series Title
- -
- Call Number
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Free Discontinuity Problems
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.
- Edition
- -
- ISBN/ISSN
- 978-88-7642-593-6
- Collation
- IX, 227 pages
- Series Title
- Publications of the Scuola Normale Superiore
- Call Number
- -
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