Skip to main content
SpringerLink
Log in

Green's Functions

Potential Fields on Surfaces

  • Book
  • © 2017

Overview

Authors:
  1. Yuri A. Melnikov

    1. Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Volodymyr N. Borodin

    1. Department of Mechanical Engineering, Tennessee Technological University, Cookeville, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Focuses on a specific class of boundary value problems for second order elliptic type partial differential equations with variable coefficients that has never been a topic of standard texts in the field
  • Features compact representations of Green's functions ready for immediate computer implementation
  • Accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students
  • The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach
  • Includes supplementary material: sn.pub/extras
  • Includes supplementary material: sn.pub/extras

Part of the book series: Developments in Mathematics (DEVM, volume 48)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Green’s Functions for ODE

    • Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 1-50

  3. Spherical Surface

    • Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 51-83

  4. Toroidal Surface

    • Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 85-105

  5. Compound Structures

    • Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 107-145

  6. Irregular Configurations

    • Yuri A. Melnikov, Volodymyr N. Borodin
    Pages 147-172

  7. Back Matter

    Pages 173-198
    Download chapter PDF
Back to top

Keywords

About this book

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.

Authors and Affiliations

  • Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, USA

    Yuri A. Melnikov

  • Department of Mechanical Engineering, Tennessee Technological University, Cookeville, USA

    Volodymyr N. Borodin

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation