Books in category Mathematics – Differential Equations

  • Asymptotic Analysis and Boundary Layers

    Asymptotic Analysis and Boundary Layers
    Jean Cousteix, Jacques Mauss

    This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM).

  • Advanced Financial Modelling

    Advanced Financial Modelling
    Hansjörg Albrecher, Wolfgang J. Runggaldier, Walter Schachermayer

    This book is a collection of state–of–the–art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches.

  • Optimal Transport

    Optimal Transport
    Cédric Villani

    Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field.

  • Numerical Methods for Solving Inverse Problems of Mathematical Physics

    Numerical Methods for Solving Inverse Problems of Mathematical Physics
    A. A. Samarskii, Petr N. Vabishchevich

    The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational …

  • Nonlinear Evolution Equations and Related Topics

    Nonlinear Evolution Equations and Related Topics
    Wolfgang Arendt, Haim Brezis, Michel Pierre

    Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians.

  • Bounded and Compact Integral Operators

    Bounded and Compact Integral Operators
    David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi

    Audience: The book is aimed at a rather wide audience, ranging from researchers in functional and harmonic analysis to experts in applied mathematics and prospective students.

  • Ernst Equation and Riemann Surfaces

    Ernst Equation and Riemann Surfaces
    Christian Klein, Olaf Richter

    In this volume the solutions to the Ernst equation associated to Riemann surfaces are studied in detail and physical and mathematical aspects of this class are discussed both analytically and numerically.

  • Mathematical Problems in Semiconductor Physics

    Mathematical Problems in Semiconductor Physics
    Angelo Marcello Anile, Walter Allegretto, Christian Ringhofer

    On the the mathematical aspects of the theory of carrier transport in semiconductor devices.

  • Asymptotics and Borel Summability

    Asymptotics and Borel Summability
    Ovidiu Costin

    Chronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations.

  • M thodes math matiques en chimie quantique Une introduction

    Méthodes mathématiques en chimie quantique. Une introduction
    Eric Cances, Claude Le Bris, Yvon Maday

    Le point de vue choisi est celui du mathématicien appliqué. Le cours est construit de manière auto-consistante.

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