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  • Data Assimilation

    A Mathematical Introduction

    Series series Mathematics and Statistics (R0)
    This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together ... Leer más

    $49.99 USD

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  • Multiple Time Scale Dynamics

    Series series Mathematics and Statistics (R0)
    This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a ... Leer más

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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Leer más

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  • Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds

    A Geometric Approach to Modeling and Analysis

    Series series Engineering (R0)
    This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally ... Leer más

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  • Coding Theory and Applications

    4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014

    Series series Springer Nature Proceedings excluding Computer Science
    The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography.The book includes a survey paper on the interconnections of coding theory with constrained ... Leer más

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  • Selberg Zeta Functions and Transfer Operators

    An Experimental Approach to Singular Perturbations

    Series series Mathematics and Statistics (R0)
    This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet ... Leer más

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  • Extraction of Quantifiable Information from Complex Systems

    Series series Mathematics and Statistics (R0)
    In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 “Mathematical Methods for Extracting Quantifiable Information from Complex Systems.” This volume presents a comprehensive overview of the most important results obtained over the course of the program. Mathematical models of complex systems provide the foundation for further technological developments in ... Leer más

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  • Discrete Event Systems

    Diagnosis and Diagnosability

    Series series Engineering (R0)
    Discrete Event Systems: Diagnosis and Diagnosability addresses the problem of fault diagnosis of Discrete Event Systems (DESs). This book provides the basic techniques and approaches necessary for the design of an efficient fault diagnosis system for a wide range of modern engineering applications. This book classifies the different techniques and approaches according to several criteria such as: ... Leer más

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  • Analysis, Modelling, Optimization, and Numerical Techniques

    ICAMI, San Andres Island, Colombia, November 2013

    Series series Springer Nature Proceedings excluding Computer Science
    This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applicabilitions to real-world situations. The chapters present exciting new findings and developments in situations where mathematical rigor is combined with common sense. A multi-disciplinary approach, both within each chapter and in the volume as a whole, leads to ... Leer más

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  • Nonlinear Data Assimilation

    Series series Mathematics and Statistics (R0)
    This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters.The first contribution by Jan van Leeuwen focuses on the potential of proposal densities. It discusses the issues with present-day particle filters and explorers new ideas for proposal ... Leer más

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  • Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

    Series series Mathematics and Statistics (R0)
    The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to ... Leer más

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  • Automatic trend estimation

    Series series Physics and Astronomy (R0)
    Our book introduces a method to evaluate the accuracy of trend estimation algorithms under conditions similar to those encountered in real time series processing. This method is based on Monte Carlo experiments with artificial time series numerically generated by an original algorithm. The second part of the book contains several automatic algorithms for trend estimation and time series ... Leer más

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