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Matching of Asymptotic Expansions of Solutions of Boundary Value Problems
 
Matching of Asymptotic Expansions of Solutions of Boundary Value Problems
Hardcover ISBN:  978-0-8218-4561-5
Product Code:  MMONO/102
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4513-3
Product Code:  MMONO/102.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4561-5
eBook: ISBN:  978-1-4704-4513-3
Product Code:  MMONO/102.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Matching of Asymptotic Expansions of Solutions of Boundary Value Problems
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Matching of Asymptotic Expansions of Solutions of Boundary Value Problems
Hardcover ISBN:  978-0-8218-4561-5
Product Code:  MMONO/102
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4513-3
Product Code:  MMONO/102.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4561-5
eBook ISBN:  978-1-4704-4513-3
Product Code:  MMONO/102.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1021992; 281 pp
    MSC: Primary 34; Secondary 41;

    This book deals with the solution of singularly perturbed boundary value problems for differential equations. It presents, for the first time, a detailed and systematic treatment of the version of the matching method developed by the author and his colleagues. A broad class of problems is considered from a unified point of view, and the procedure for constructing asymptotic expansions is discussed in detail. The book covers formal constructions of asymptotic expansions and provides rigorous justifications of these asymptotics. One highlight is a complete asymptotic analysis of Burger's equation with small diffusion in the neighborhood of the gradient catastrophe point. The book is suitable as a text for graduate study in asymptotic methods in calculus and singularly perturbed equations.

    Readership

    Graduate students and researchers specializing in differential equations.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter I. Boundary layer functions of exponential type
    • Chapter II. Ordinary differential equations
    • Chapter III. Singular perturbations of the domain boundary in elliptic boundary value problems
    • Chapter IV. Elliptic equation with small parameter at higher derivatives
    • Chapter V. Singular perturbation of a hyperbolic system of equations
    • Chapter VI. Cauchy problem for quasilinear parabolic equation with a small parameter
  • Reviews
     
     
    • A valuable reference book.

      Bulletin of the London Mathematical Society
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1021992; 281 pp
MSC: Primary 34; Secondary 41;

This book deals with the solution of singularly perturbed boundary value problems for differential equations. It presents, for the first time, a detailed and systematic treatment of the version of the matching method developed by the author and his colleagues. A broad class of problems is considered from a unified point of view, and the procedure for constructing asymptotic expansions is discussed in detail. The book covers formal constructions of asymptotic expansions and provides rigorous justifications of these asymptotics. One highlight is a complete asymptotic analysis of Burger's equation with small diffusion in the neighborhood of the gradient catastrophe point. The book is suitable as a text for graduate study in asymptotic methods in calculus and singularly perturbed equations.

Readership

Graduate students and researchers specializing in differential equations.

  • Chapters
  • Introduction
  • Chapter I. Boundary layer functions of exponential type
  • Chapter II. Ordinary differential equations
  • Chapter III. Singular perturbations of the domain boundary in elliptic boundary value problems
  • Chapter IV. Elliptic equation with small parameter at higher derivatives
  • Chapter V. Singular perturbation of a hyperbolic system of equations
  • Chapter VI. Cauchy problem for quasilinear parabolic equation with a small parameter
  • A valuable reference book.

    Bulletin of the London Mathematical Society
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.