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  • Stochastic Transport in Upper Ocean Dynamics II

    STUOD 2022 Workshop, London, UK, September 26–29

    Series series Springer Nature Proceedings excluding Computer Science
    This open access proceedings volume brings selected, peer-reviewed contributions presented at the Third Stochastic Transport in Upper Ocean Dynamics (STUOD) 2022 Workshop, held virtually and in person at the Imperial College London, UK, September 26–29, 2022. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer ... Read more

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  • Stochastic Transport in Upper Ocean Dynamics

    STUOD 2021 Workshop, London, UK, September 20–23

    Series series Springer Nature Proceedings excluding Computer Science
    This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer ... Read more

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    A Unified Formulation of the State and Parameter Estimation Problem

    Series series Springer Textbooks in Earth Sciences, Geography and Environment
    This open-access textbook's significant contribution is the unified derivation of data-assimilation techniques from a common fundamental and optimal starting point, namely Bayes' theorem. Unique for this book is the "top-down" derivation of the assimilation methods. It starts from Bayes theorem and gradually introduces the assumptions and approximations needed to arrive at today's popular data ... Read more

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  • Dynamical And Complex Systems

    Series Book 5 - Ltcc Advanced Mathematics Series
    This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka-Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics ... Read more

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  • Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

    Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018

    Series series Springer Nature Proceedings excluding Computer Science
    This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research ... Read more

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  • Mathematics Of Planet Earth: A Primer

    Series Book 0 - Advanced Textbooks In Mathematics
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  • Geometric Structures of Statistical Physics, Information Geometry, and Learning

    SPIGL'20, Les Houches, France, July 27–31

    Series series Springer Nature Proceedings excluding Computer Science
    Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual ... Read more

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  • Uncertainty Quantification for Hyperbolic and Kinetic Equations

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    Series series Mathematics and Statistics (R0)
    This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many ... Read more

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  • Frontiers in Entropy Across the Disciplines

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    Series Book 4 - Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes
    Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, ... Read more

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  • Input-to-State Stability for PDEs

    Series series Intelligent Technologies and Robotics (R0)
    This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools.In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems ... Read more

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  • Nonlinear Finite Element Analysis of Solids and Structures

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