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Analyzing Multiscale Phenomena Using Singular Perturbation Methods
 
Edited by: Jane Cronin Rutgers University, New Brunswick, NJ
Robert E. O’Malley, Jr. University of Washington, Seattle, WA
Analyzing Multiscale Phenomena Using Singular Perturbation Methods
Hardcover ISBN:  978-0-8218-0929-7
Product Code:  PSAPM/56
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9271-8
Product Code:  PSAPM/56.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Hardcover ISBN:  978-0-8218-0929-7
eBook: ISBN:  978-0-8218-9271-8
Product Code:  PSAPM/56.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
Analyzing Multiscale Phenomena Using Singular Perturbation Methods
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Analyzing Multiscale Phenomena Using Singular Perturbation Methods
Edited by: Jane Cronin Rutgers University, New Brunswick, NJ
Robert E. O’Malley, Jr. University of Washington, Seattle, WA
Hardcover ISBN:  978-0-8218-0929-7
Product Code:  PSAPM/56
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9271-8
Product Code:  PSAPM/56.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Hardcover ISBN:  978-0-8218-0929-7
eBook ISBN:  978-0-8218-9271-8
Product Code:  PSAPM/56.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 561999; 187 pp
    MSC: Primary 34; 35;

    To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.

    Readership

    Advanced undergraduates, graduate students, and applied mathematicians interested in ordinary differential equations.

  • Table of Contents
     
     
    • Articles
    • Robert E. O’Malley, Jr. — Figuring out singular perturbations after a first course in ODEs [ MR 1718905 ]
    • Mark H. Holmes — The method of multiple scales [ MR 1718901 ]
    • Slimane Adjerid, Mohammed Aiffa and Joseph E. Flaherty — Computational methods for singularly perturbed systems [ MR 1718897 ]
    • Tasso J. Kaper — An introduction to geometric methods and dynamical systems theory for singular perturbation problems [ MR 1718893 ]
    • Jane Cronin — Analysis of cellular oscillations [ MR 1718889 ]
    • Michael J. Ward — Exponential asymptotics and convection-diffusion-reaction models [ MR 1718885 ]
  • 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: 561999; 187 pp
MSC: Primary 34; 35;

To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.

Readership

Advanced undergraduates, graduate students, and applied mathematicians interested in ordinary differential equations.

  • Articles
  • Robert E. O’Malley, Jr. — Figuring out singular perturbations after a first course in ODEs [ MR 1718905 ]
  • Mark H. Holmes — The method of multiple scales [ MR 1718901 ]
  • Slimane Adjerid, Mohammed Aiffa and Joseph E. Flaherty — Computational methods for singularly perturbed systems [ MR 1718897 ]
  • Tasso J. Kaper — An introduction to geometric methods and dynamical systems theory for singular perturbation problems [ MR 1718893 ]
  • Jane Cronin — Analysis of cellular oscillations [ MR 1718889 ]
  • Michael J. Ward — Exponential asymptotics and convection-diffusion-reaction models [ MR 1718885 ]
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.