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  • Hamiltonian Partial Differential Equations and Applications

    Series Libro 75 - Fields Institute Communications
    This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to ... Leer más

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  • The Convergence Problem for Dissipative Autonomous Systems

    Classical Methods and Recent Advances

    Series series Mathematics and Statistics (R0)
    The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metric ... 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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  • Operator-Related Function Theory and Time-Frequency Analysis

    The Abel Symposium 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them.Among the original contributions and overview lectures gathered here are a ... Leer más

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  • Advances in Iterative Methods for Nonlinear Equations

    Edición de 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 ... Leer más

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  • Evolutionary Equations with Applications in Natural Sciences

    Series series Mathematics and Statistics (R0)
    With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and ... Leer más

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  • Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

    Series series Mathematics and Statistics (R0)
    This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially ... Leer más

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  • Mathematical Methods in Biology and Neurobiology

    de Jürgen Jost ...
    Series series Mathematics and Statistics (R0)
    Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic ... Leer más

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  • Geometrical Themes Inspired by the N-body Problem

    Series series Mathematics and Statistics (R0)
    Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ... 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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  • Further Developments in Fractals and Related Fields

    Mathematical Foundations and Connections

    Edición de 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 ... Leer más

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  • Hypernumbers and Extrafunctions

    Extending the Classical Calculus

    de Mark Burgin ...
    Series series Mathematics and Statistics (R0)
    “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... Leer más

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