Описание: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Описание: These books are intended for undergraduate, graduate researchers and practitioners in computational sciences, and as reference books for an advanced computational methods course. We have included new results for iterative procedures in abstract spaces general enough for handling inverse problems in various situations related to real life problems through mathematical modeling. These books contain a plethora of updated bibliography and provide comparison between various investigations made in recent years in the field of computational mathematics in the wide sense. Iterative processes are the tools used to generate sequences approximating solutions of equations describing the real life problems stated above and others originating from biosciences, engineering, mathematical economics, mathematical biology, mathematical chemistry, mathematical physics medicine, mathematical programming, and other disciplines. These books also provide, recent advancements on the study of iterative procedures, and can be used as a source from which one can obtain the proper method to use in order to solve a problem. The books require a fundamental background in mathematical statistics, linear algebra and numerical analysis. It may be used as a self-study reference or as a supplementary text for an advanced course in biosciences, engineering and computational sciences.
Описание: Providing an introduction to mathematical aspects of quantum information and open systems, this volume provides a unique combination of applications to bio- and nano-systems. Readers will find a new paradigm for quantum computation, as well as introductory treatment of functional analysis.
Preface.- Part A. Charge and Spin Transport in Low-Dimensional Structures: Nonlinear Quantum Mechanics: Bjцrn Birnir.- Chaotic Current Self-Oscillations in Doped, Weakly Coupled Semiconductor Superlattices for True Random Number Generation: Yaohui Zhang et al.- Transport out of Locally Broken Detailed Balance: Rafael Sбnchez.- Non-Perturbative Approaches in Nanoscience and Corrections to Finite-Size Scaling: J. Kaupuzs et a.- Continuum Model for Coupled Acousto-Optical Phonons in Piezoelectric Materials: Morten Willatzen et al.- Part B. Modeling Biological Phenomena from Nano to Macro Scales: Stochastic Models of Tumor Induced Angiogenesis: L.L. Bonilla et al.- Biofilm Mechanics and Patterns: A. Carpio et al.- Modelling the Unfolding Pathway of Biomolecules: Theoretical Approach and Experimental Prospect: Carlos A. Plata et al.- The Geometry of Most Probable Trajectories in Noise-Driven Dynamical Systems: John C. Neu et al.- Part C. Mathematics for 2D Materials and Properties of Confined Nanostructures: Classical Density-Functional Theory Studies of Fluid Adsorption on Nanopatterned Planar Surfaces: Peter Yatsyshin et al.- Modeling Metastability in CdTe Solar Cells Due to Cu Migration: Da Guo et al.- A Multiscale Molecular Dynamics and Coupling with Nonlinear Finite Element Method: S. Urata et al.- Modeling Electronic Properties of Twisted 2D Atomic Heterostructures: Stephen Carr et al.- Molecular Dynamics and Related Computational Methods with Applications to Drug Discovery: Jordane Preto et al.- Macroscopic Models for the Bioelectronic Interface of Engineered Artificial Membranes: William Hoiles et al.
Автор: Martin Golubitsky; Dan Luss; Steven H. Strogatz Название: Pattern Formation in Continuous and Coupled Systems ISBN: 0387988742 ISBN-13(EAN): 9780387988740 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field.
Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi Название: Advances in Synchronization of Coupled Fractional Order Systems ISBN: 3030067521 ISBN-13(EAN): 9783030067526 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems.
Автор: Zoran Gajic; Djordjija Petkovski; Xuemin Shen Название: Singularly Perturbed and Weakly Coupled Linear Control Systems ISBN: 3540523332 ISBN-13(EAN): 9783540523338 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
Описание: Preface.- Introduction.- Basic Concepts and Preliminares.- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications.- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach.- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer.- Estimators for a class of commensurate fractional order systems with Caputo derivative.- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller.- An Observer for a Class of Incommensurate Fractional Order Systems.- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators.- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer.- Appendix.- Index.
Описание: This volume contains the proceedings of the IUTAM Symposium on Model Order Reduction of Coupled System, held in Stuttgart, Germany, May 22–25, 2018.For the understanding and development of complex technical systems, such as the human body or mechatronic systems, an integrated, multiphysics and multidisciplinary view is essential. Many problems can be solved within one physical domain. For the simulation and optimization of the combined system, the different domains are connected with each other. Very often, the combination is only possible by using reduced order models such that the large-scale dynamical system is approximated with a system of much smaller dimension where the most dominant features of the large-scale system are retained as much as possible. The field of model order reduction (MOR) is interdisciplinary. Researchers from Engineering, Mathematics and Computer Science identify, explore and compare the potentials, challenges and limitations of recent and new advances.
Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Автор: Yingjie Liang, Wen Chen, Wei Cai Название: Hausdorff Calculus: Applications to Fractal Systems ISBN: 3110606925 ISBN-13(EAN): 9783110606928 Издательство: Walter de Gruyter Цена: 22305.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn
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