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).

  • Elliptic Theory on Singular Manifolds

    Elliptic Theory on Singular Manifolds
    Vladimir E. Nazaikinskii, Anton Yu. Savin, Bert-Wolfgang Schulze, Boris Yu. Sternin

    Starting from an elementary level and finishing with the most recent results, this book gives a systematic exposition of both analytical and topological aspects of elliptic theory on manifolds with singularities.

  • Optimal Control of Partial Differential Equations

    Optimal Control of Partial Differential Equations
    Karl-Heinz Hoffmann

    This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998.

  • Geometric Function Theory

    Geometric Function Theory
    Steven G Krantz

    * Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, …

  • Stability Problems

    Stability Problems
    L. Salvadori

    P. Habets: Stabilité asymptotique pour des problèmes de perturbations singulières.

  • Differential Equations A Modeling Approach Issue 150

    Differential Equations: A Modeling Approach, Issue 150
    Courtney Brown

    Key Features: – The text is accessibly written, so that students with minimal mathematical training can understand all of the basic concepts and techniques presented.

  • Hydrodynamic Limits of the Boltzmann Equation Issue 1971

    Hydrodynamic Limits of the Boltzmann Equation, Issue 1971
    Laure Saint-Raymond

    The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics.Different fluid asymptotics will be investigated …

  • 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.

  • 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.

  • Theorie und Numerik partieller Differentialgleichungen

    Theorie und Numerik partieller Differentialgleichungen
    Gerhard Dziuk

    This textbook introduces both to the theory and numerics of partial differential equations (PDEs) which is rather unique for German textbooks.

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