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  • Linear Integral Equations

    by Rainer Kress ...
    Series series Mathematics and Statistics (R0)
    This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate ... Read more

    $89.09 USD

  • Inverse Acoustic and Electromagnetic Scattering Theory

    Series series Mathematics and Statistics (R0)
    The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.In this fourth edition, a number of significant additions have been made including a new ... Read more

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  • Inverse Acoustic and Electromagnetic Scattering Theory

    Series series Mathematics and Statistics (R0)
    The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and ... Read more

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    Series series Mathematics and Statistics (R0)
    This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book ... Read more

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  • Numerical Models for Differential Problems

    Series series Mathematics and Statistics (R0)
    In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical ... Read more

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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 ... Read more

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  • Integral Methods in Science and Engineering, Volume 1

    Theoretical Techniques

    Series series Mathematics and Statistics (R0)
    This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, ... Read more

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  • Implicit Functions and Solution Mappings

    A View from Variational Analysis

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    The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis.This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and ... Read more

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  • Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

    Series series Mathematics and Statistics (R0)
    This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential equations and ... Read more

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  • A Tale of Two Fractals

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    Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Read more

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  • Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

    2012 John H Barrett Memorial Lectures

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    The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field ... Read more

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