Applied mathematics

The aim of this book is to summarize probabilistic safety assessment (PSA) of nuclear power plants with WWER440 reactors and demonstrate that the plants are safe enough for producing energy even in light of the Fukushima accident.

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology.

This edited volume provides insights into and tools for the modeling, analysis, optimization, and control of large-scale networks in the life sciences and in engineering.

Computational complexity is a serious bottleneck for the design process in virtually any engineering area.

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity.

This book deals with the theory, design principles, and application of hybrid intelligent systems using type-2 fuzzy sets in combination with other paradigms of Soft Computing technology such as Neuro-Computing and Evolutionary Computing.

Offering a concise but complete survey of the common features of the microstructure of electricity markets, this book describes the state of the art in the different proposed electricity price models for pricing derivatives and in the numerical methods used to price and hedge the most prominent derivatives in electricity markets, namely power plants and swings.

Lyons' rough path analysis has provided new insights in the analysis of stochastic differential equations and stochastic partial differential equations, such as the KPZ equation.

This book explores the extent to which fuzzy set logic can overcome some of the shortcomings of public choice theory, particularly its inability to provide adequate predictive power in empirical studies.

In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 "e;Mathematical Methods for Extracting Quantifiable Information from Complex Systems.

This book traces the life of Cholesky (1875-1918), and gives his family history.

This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand and measuring the risk by computing the hedging exit time function associating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other.

This volume recreates the received notion of reflective equilibrium.

The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates.

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions.

This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health).

The dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite.

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond.

This book reflects the state of the art on nonlinear economic dynamics, financial market modelling and quantitative finance.

This book is devoted to a number of stochastic models that display scale invariance.

Probability theory on compact Lie groups deals with the interaction between "e;chance"e; and "e;symmetry,"e; a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).

This book provides a perspective on a number of approaches to financial modelling and risk management.

This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach.

This volumepresents a collection of papers covering applications from a wide range ofsystems with infinitely many degrees of freedom studied using techniques fromstochastic and infinite dimensional analysis, e.

This book describes the computational challenges posed by the progression toward nanoscale electronic devices and increasingly short design cycles in the microelectronics industry, and proposes methods of model reduction which facilitate circuit and device simulation for specific tasks in the design cycle.

There is a growing body of literature that focuses on the similarities and differences between how people behave in the offline world vs.

This book offers a useful combination of probabilistic and statistical tools for analyzing nonlinear time series.

Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences.

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines.

This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the "e;decisive variable"e; of the mathematics classroom.

This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner.

Containing a summary of several recent results on Markov-based input modeling in a coherent notation, this book introduces and compares algorithms for parameter fitting and gives an overview of available software tools in the area.

This book is a compilation of 21 papers presented at the International Cramer Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013.

The classical Pontryagin maximum principle (addressed to deterministic finite dimensional control systems) is one of the three milestones in modern control theory.

This book presents mathematical models and numerical simulations of crowd dynamics.

A persistent problem when finding communities in large complex networks is the so-called resolution limit.

This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013.

This edited volume presents basic principles as well as advanced concepts of the computational modeling of steering systems.

This brief reviews concepts of inter-relationship in modern industrial processes, biological and social systems.

This book focuses on the development of a new simulation paradigm allowing for the solution of models that up to now have never been resolved and which result in spectacular CPU time savings (in the order of millions) that, combined with supercomputing, could revolutionize future ICT (information and communication technologies) at the heart of science and technology.

Exercises in Analysis will be published in two volumes.

This volume collects selected contributions from the "e;Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations"e;, which was held in Verbania, Italy in July 2013.

This book explains and examines the theoretical underpinnings of the Complex Variable Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader with the tools for extending and using the CVBEM in various applications.

This book provides a concise introduction into the fundamentals and applied techniques of multiple criteria decision making in the finance sector.

This monograph serves as an introductory text to classical renewal theory and some of its applications for graduate students and researchers in mathematics and probability theory.

This book gives a self-contained introduction to the theory of random interlacements.

The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.

This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics.

This book focuses on the constructive and practical aspects of spectral methods.

Simulation of ODE/PDE Models with MATLAB(R), OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed.