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Dynamics of partial differential equations
This book contains two review articles℗ℓon℗ℓthe dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initia…
- Edition
- -
- ISBN/ISSN
- 9783319199351
- Collation
- x, 79 pages
- Series Title
- -
- Call Number
- 515
Dynamics of quasi-stable dissipative systems
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems prop…
- Edition
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- ISBN/ISSN
- 9783319229034
- Collation
- -
- Series Title
- -
- Call Number
- 515
Dynamics, games and science : International Conference and Advanced School Pl…
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of …
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- ISBN/ISSN
- 9783319161181
- Collation
- -
- Series Title
- -
- Call Number
- 518.6
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
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- ISBN/ISSN
- 978-3-319-19141-6
- Collation
- IX, 296
- Series Title
- -
- Call Number
- -
The Early Period of the Calculus of Variations
This book will be of interest to anyone studying the calculus of variations who wants a deeper intuition for the techniques and ideas that are used, as well as historians of science and mathematics interested in the development and evolution of modern calculus and analysis.
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- ISBN/ISSN
- -
- Collation
- XII, 293
- Series Title
- -
- Call Number
- -
Multivariable Calculus
This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-value…
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- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 515 SHI m
Stochastic Analysis for Finance with Simulations
This book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black–Scholes–Merton equation, Monte Carlo methods, and time seri…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-25589-7
- Collation
- -
- Series Title
- 82 b/w illustrations, 107 illustrations in colour
- Call Number
- XXXII, 657
Advances in Mathematical Modeling, Optimization and Optimal Control
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, p…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-30785-5
- Collation
- V, 201
- Series Title
- Springer Optimization and Its Applications
- Call Number
- 515.4 ADV a
Advances in Global Optimization
This proceedings volume addresses advances in global optimization—a multidisciplinary research field that deals with the analysis, characterization and computation of global minima and/or maxima of nonlinear, non-convex and nonsmooth functions in continuous or discrete forms. The volume contains selected papers from the third biannual World Congress on Global Optimization in Engineering & Sci…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-08377-3
- Collation
- XIII, 537
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 515.64 ADV a
Existence and Regularity Results for Some Shape Optimization Problems
We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In par…
- Edition
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- ISBN/ISSN
- 978-88-7642-527-1
- Collation
- XVI, 349
- Series Title
- -
- Call Number
- -
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