Applied mathematics

This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few.

The book presents, for the first time, a detailed analysis of harmonizable processes and fields (in the weak sense) that contain the corresponding stationary theory as a subclass.

This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world.

The concept of local volatility as well as the local volatility model are one of the classical topics of mathematical finance.

This is a development of the book entitled Multidimensional Second Order Stochastic Processes.

A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding.

Rigorous mathematical finance relies strongly on two additional fields: optimal stopping and stochastic analysis.

Social life of bacteria is in the focus of recent research.

The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets.

This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology.

This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction.

Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science.

This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance.

The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering.

This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions.

This book presents novel research ideas and offers insights into radar system design, artificial intelligence and signal processing applications.

This book is a collection of papers presented at the 'Forum "e;Math-for-Industry"e; 2016 ' (FMfl2016), held at Queensland University of Technology, Brisbane, Australia, on November 21-23, 2016.

A clear and focused guide to the Navier-Stokes equations that govern fluid motion, including exercises and fully worked solutions.

As the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS15), the proceedings of CoMFoS16 present further advances and new topics in mathematical theory and numerical simulations related to various aspects of continuum mechanics.

This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems.

This book introduces a unique, packet-based co-design control framework for networked control systems.

The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications.

This book introduces selected recent findings on the analysis and control of dynamical behaviors for coupled reaction-diffusion neural networks.

This book is devoted to biased sampling problems (also called choice-based sampling in Econometrics parlance) and over-identified parameter estimation problems.

This book presents operational modal analysis (OMA), employing a coherent and comprehensive Bayesian framework for modal identification and covering stochastic modeling, theoretical formulations, computational algorithms, and practical applications.

This volume contains selected revised and extended research articles written by prominent researchers who participated in the International MultiConference of Engineers and Computer Scientists 2016, held in Hong Kong, 16-18 March 2016.

This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas.

This book discusses energy transfer, fluid flow and pollution in built environments.

The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography.

This self-contained textbook discusses all major topics in functional analysis.

This book offers a comprehensive treatment of the theory of measures of noncompactness.

This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory.

This book is a valuable read for a diverse group of researchers and practitioners who analyze assessment data and construct test instruments.

This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames.

This book focuses on numerical simulation-based design theory and methods inmechanical engineering.

This book not only provides a comprehensive introduction to neural-based PCA methods in control science, but also presents many novel PCA algorithms and their extensions and generalizations, e.

This book presents essential studies and applications in the context of sliding mode control, highlighting the latest findings from interdisciplinary theoretical studies, ranging from computational algorithm development to representative applications.

This book introduces condition-based maintenance (CBM)/data-driven prognostics and health management (PHM) in detail, first explaining the PHM design approach from a systems engineering perspective, then summarizing and elaborating on the data-driven methodology for feature construction, as well as feature-based fault diagnosis and prognosis.

The expected time of impact, also known as the mean first passage time (MFPT) to reach failure, is a critical metric in the management of natural disasters.

This book is a collection of papers presented at the "e;Forum Math-for-Industry 2015"e; for which the unifying theme was "e;The Role and Importance of Mathematics in Innovation"e;, held at the Institute of Mathematics for Industry, Kyushu University, October 26-30, 2015.

Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs.

This volume comprises selected extended papers written by prominent researchers participating in the International MultiConference of Engineers and Computer Scientists 2015, Hong Kong, 18-20 March 2015.

The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm-Loewner evolution (SLE) and interacting particle systems related to random matrix theory.

An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W.

Estas notas de clases presentan un acercamiento a la teoría y aplicación de técnicas de aproximación numérica.

"El Problema de Complementariedad No Lineal, que en algunos contextos es sinónimo de sistema en equilibrio, ha despertado el interés de muchos investigadores por sus numerosas aplicaciones en Ciencias, Ingeniería y Economía.

Es de suma importancia la formación de profesores de matemáticas en el área de tecnologías digitales, y es igualmente importante la manera como se adelanta esta formación.

La esencia del texto está en intentar comunicar de la manera más amigable posible, sin perder rigurosidad, un conjunto de técnicas que amplían las ideas generales del análisis de regresión.

The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

Bayesian methods are growing more and more popular, finding new practical applications in the fields of health sciences, engineering, environmental sciences, business and economics and social sciences, among others.