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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
- -
- ISBN/ISSN
- 978-88-7642-527-1
- Collation
- XVI, 349
- Series Title
- -
- Call Number
- -
Active Calculus
In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investi…
- Edition
- 1
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 515 BOE 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
- IX, 296
- Series Title
- -
- Call Number
- -
Advanced Methods in the Fractional Calculus of Variations
This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-14756-7
- Collation
- XII, 135
- Series Title
- SpringerBriefs in Applied Sciences and Technology
- Call Number
- 515.4 MAL a
Advanced Calculus of a Single Variable
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are exp…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-27807-0
- Collation
- XII, 382
- Series Title
- -
- Call Number
- 515.4 GEV a
Optimization in the Real World
This book clearly shows the importance, usefulness, and powerfulness of current optimization technologies, in particular, mixed-integer programming and its remarkable applications. It is intended to be the definitive study of state-of-the-art optimization technologies for students, academic researchers, and non-professionals in industry. The chapters of this book are based on a collection of se…
- Edition
- 1
- ISBN/ISSN
- 978-4-431-55419-6
- Collation
- XII, 194
- Series Title
- Mathematics for Industry
- Call Number
- -
Optimal Transport for Applied Mathematicians
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proof…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-20827-5
- Collation
- XXVII, 353
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
Optimal Control of Stochastic Difference Volterra Equations
This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13238-9
- Collation
- X, 220
- Series Title
- Studies in Systems, Decision and Control
- Call Number
- -
Optimal Control for Mathematical Models of Cancer Therapies
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions …
- Edition
- 1
- ISBN/ISSN
- 978-1-4939-2971-9
- Collation
- XIX, 496
- Series Title
- Interdisciplinary Applied Mathematics
- Call Number
- -
Optimal Control
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditio…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-84240-0
- Collation
- XV, 209
- Series Title
- -
- Call Number
- -
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