Last edited by Shakticage
Wednesday, July 29, 2020 | History

6 edition of Elliptic Differential Equations found in the catalog.

Elliptic Differential Equations

Theory and Numerical Treatment (Springer Series in Computational Mathematics)

by Wolfgang Hackbusch

  • 266 Want to read
  • 2 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Differential equations,
  • Numerical analysis,
  • Mathematics,
  • Differential Equations - Partial Differential Equations,
  • Mathematical Analysis,
  • Applied,
  • Mathematics / Mathematical Analysis,
  • Mathematics : Applied,
  • Mathematics : Mathematical Analysis,
  • Differential equations, Ellipt

  • Edition Notes

    ContributionsR. Fadiman (Translator), P.D.F. Ion (Translator)
    The Physical Object
    FormatHardcover
    Number of Pages325
    ID Numbers
    Open LibraryOL9060751M
    ISBN 10354054822X
    ISBN 109783540548225

    The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated.

      This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this . The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations — the most important class of PDE s in applications — are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical.

    Numerical Methods for Elliptic and Parabolic Partial Differential Equations. Texts in Applied Mathematics, Vol. Springer-Verlag, New York , ISBN: X. The flyer can be found here. Abstract: This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations by Smith, Barry and a great selection of related books, art and collectibles available now at


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Elliptic Differential Equations by Wolfgang Hackbusch Download PDF EPUB FB2

The purpose of this book is to present for the first time general results concerning solvability and spectrum of these problems, a priori estimates and smoothness of solutions. The approach is based on the properties of elliptic operators and difference operators in Sobolev by: Kernel Functions and Elliptic Differential Equations in Mathematical Physics (Dover Books on Mathematics) Elliptic Differential Equations book – September 1, Find all the books, read about the author, and by:   Elliptic Partial Differential Equations of Second Order.

From the reviews: "This is a book of interest to any having to work with differential equations, either as a reference or as a book to. This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the : Wolfgang Hackbusch.

This book has developed from lectures that the author gave for mathematics students at the Ruhr-Universitat Bochum and the Christian-Albrechts-Uni­ versitat Kiel.

This edition is the result of the translation and correction of the German edition entitled Theone und Numenk elliptischer Differential­ : Springer-Verlag Berlin Heidelberg. "This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from.

The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. The book is divided into two parts. The first (Chapters ) is devoted to the linear theory, the second (Chapters ) to the theory of quasilinear partial differential equations.

These 14 chapters are preceded by an Introduction (Chapter 1) which expounds the main ideas and can serve as a guide to the book Cited by: 1. Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces).

Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presenCited by: The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and : Birkhäuser Basel.

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.

Differential equations by Harry Bateman. Elliptic Differential Equations: Theory and Numerical Treatment (Springer Series in Computational Mathematics Book 18) 2nd Edition, Kindle Edition. by Wolfgang Hackbusch (Author)Manufacturer: Springer. This is the standard work on boundary value problems for second order elliptic partial differential equations, including linear, quasilinear and fully non-linear equations.

It is systematic, comprehensive and clearly presented. The results in this book are mostly concerned with existence, uniqueness and regularity of solutions for Dirichlet problems.5/5(1).

In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced.

The book features appropriate materials and is an excellent textbook for graduate by: This book has developed from lectures that the author gave for mathematics students at the Ruhr-Universitat Bochum and the Christian-Albrechts-Uni versitat Kiel.

This edition is the result of the translation and correction of the German edition entitled Theone und Numenk elliptischer Differential gleichungen. The present work is restricted to the theory of partial differential equa tions of.

Elliptic Differential Equations – equations is absolutely necessary. This book on Partial Differential Equations is the outcome of a series of lectures delivered by me, over several years, to the postgraduate students of Applied Mathematics at Anna University,File Size: 5MB.

Elliptic Partial Differential Equations by Qing Han and FangHua Lin is one of the best textbooks I know. It is the perfect introduction to PDE. It is the perfect introduction to PDE. In pages or so it covers an amazing amount of wonderful and extraordinary useful material.

This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients. To the enlarging market of researchers in applied sciences, mathematics and physics, it gives concrete answers. Kernel Functions and Elliptic Differential Equations in Mathematical Physics (Dover Books on Mathematics) - Kindle edition by Bergman, Stefan, Schiffer, Menahem.

Download it once and read it on your Kindle device, PC, phones or tablets.4/4(1). Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations.

The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.This book offers an ideal graduate-level introduction to the theory of partial differential equations.

The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types.These functions satisfy nonlinear differential equations that appear often in physical applications, for instance in particle mechanics.

We will look at some applications and show methods for reducing certain differential equations to standard forms where they can be solved via elliptic functions or via their relatives, the elliptic integrals.