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  • Representations of Lie Algebras and Partial Differential Equations

    de Xiaoping Xu ...
    This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, ... Leer más

    $143.99 USD

  • Algebraic Approaches to Partial Differential Equations

    de Xiaoping Xu ...
    This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in ... Leer más

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  • Symmetric Discontinuous Galerkin Methods for 1-D Waves

    Fourier Analysis, Propagation, Observability and Applications

    Series series Mathematics and Statistics (R0)
    This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First, a careful Fourier analysis is constructed, highlighting the coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the ... Leer más

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  • The Mathematical Structure of Classical and Relativistic Physics

    A General Classification Diagram

    de Enzo Tonti ...
    Series series Mathematics and Statistics (R0)
    The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to ... 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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  • Mathematical Theory of Compressible Viscous Fluids

    Analysis and Numerics

    Series series Mathematics and Statistics (R0)
    This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct ... 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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  • Mathematical Models of Viscous Friction

    Series series Mathematics and Statistics (R0)
    In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. We discuss two cases: when the ... Leer más

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  • Hypergeometric Summation

    An Algorithmic Approach to Summation and Special Function Identities

    de Wolfram Koepf ...
    Series series Mathematics and Statistics (R0)
    Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple™.The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as q-analogues of the above algorithms are covered. Similar ... 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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  • Computer Solution of Large Linear Systems

    Series Libro 28 - Studies in Mathematics and its Applications
    This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews ... Leer más

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  • Dynamical Systems with Applications using MATLAB®

    de Stephen Lynch ...
    Series series Mathematics and Statistics (R0)
    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. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD.Features new to the second edition include· ... Leer más

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