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Top Series in United States

Showing 1 - 12 of 12 results for “honghu liu”
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  • Approximation of Stochastic Invariant Manifolds

    Stochastic Manifolds for Nonlinear SPDEs I

    by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang ...
    Series series Mathematics and Statistics (R0)
    This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with ... Read more

    $49.99 USD

  • Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations

    Stochastic Manifolds for Nonlinear SPDEs II

    by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang ...
    Series series Mathematics and Statistics (R0)
    In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs), which are stochastic manifolds that improve, for a given realization of the noise, in mean square error the partial ... Read more

    $49.99 USD

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  • Handbook of Analysis and Its Foundations

    by Eric Schechter ...
    Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its ... Read more

    $110.99 USD

  • Extended Abstracts Summer 2015

    Strategic Behavior in Combinatorial Structures; Quantitative Finance

    Edited by Josep Díaz, Lefteris Kirousis, Luis Ortiz-Gracia, Maria Serna ...
    Series series Springer Nature Proceedings excluding Computer Science
    This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing together physicists, computer scientists and mathematicians. The main research theme explores how ... Read more

    $125.99 USD

  • The Mathematics Behind Biological Invasions

    by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts ...
    Series series Mathematics and Statistics (R0)
    This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to ... Read more

    $58.99 USD

  • Topological Structure of the Solution Set for Evolution Inclusions

    by Li Peng, Yong Zhou, Rong-Nian Wang ...
    Series series Mathematics and Statistics (R0)
    This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature.In addition, the book addresses many of the ... Read more

    $49.99 USD

  • The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

    by Arnaud Debussche, Michael Högele, Peter Imkeller ...
    Series series Mathematics and Statistics (R0)
    This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the ... Read more

    $44.99 USD

  • Multiple Time Scale Dynamics

    by Christian Kuehn ...
    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 ... Read more

    $80.99 USD

  • Further Developments in Fractals and Related Fields

    Mathematical Foundations and Connections

    Edited by Julien Barral, Stéphane Seuret ...
    Series series Mathematics and Statistics (R0)
    This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on ... Read more

    $89.99 USD

  • Advanced H∞ Control

    Towards Nonsmooth Theory and Applications

    by Luis T. Aguilar, Yury V. Orlov ...
    Series series Mathematics and Statistics (R0)
    This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H**∞ approach in the nonsmooth setting. Similar to the standard nonlinear H**∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly ... Read more

    $49.99 USD

  • Stability and Boundary Stabilization of 1-D Hyperbolic Systems

    by Georges Bastin, Jean-Michel Coron ...
    Series series Mathematics and Statistics (R0)
    This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control ... Read more

    $116.99 USD

  • Advances in Iterative Methods for Nonlinear Equations

    Edited by Sergio Amat, Sonia Busquier ...
    Series series Mathematics and Statistics (R0)
    This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in ... Read more

    $49.99 USD