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Birkhäuser

Integral Methods in Science and Engineering

  • Book
  • © 2002

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Editors:
  1. Christian Constanda

    1. Department of Mathematics, University of Strathclyde, Glasgow, UK

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  2. Peter Schiavone

    1. Department of Mechanical Engineering, University of Alberta, Edmonton, Canada

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    You can also search for this editor in PubMed   Google Scholar

  3. Andrew Mioduchowski

    1. Department of Mechanical Engineering, University of Alberta, Edmonton, Canada

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (40 chapters)

  1. Front Matter

    Pages i-xxii
    Download chapter PDF

  2. Use of Elastodynamic Reciprocity Theorems for Field Calculations

    • Jan D. Achenbach
    Pages 1-14

  3. Linear Solvers for the Galerkin Boundary Element Method

    • Ore Ademoyero, Alan Davies, Michael Bartholomew-Biggs
    Pages 15-20

  4. Reciprocity of Hopf’s and Feautrier’s Operators in Radiation Transport Theory

    • Mario Ahues, Bernard Rutily
    Pages 21-26

  5. Spectral Approximation of Weakly Singular Integrable Kernels Using Projections

    • Mario Ahues, Olivier Titaud
    Pages 27-32

  6. Effect of Imperfect Interface on a Thermal Inclusion with an Interior Radial Crack

    • William Amenyah
    Pages 33-38

  7. An Integrodifferential Equation of Atomic Diffusion

    • Yuri A. Antipov
    Pages 39-44

  8. Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids

    • David M. Barnett, Jonathan A. Zimmerman
    Pages 45-50

  9. On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables

    • Barbara Bertram, Haiyan Cheng
    Pages 51-56

  10. On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables

    • Haiyan Cheng, Barbara Bertram
    Pages 57-62

  11. An Initial-Boundary Value Problem for Thermoelastic Plates

    • Christian Constanda, Keijo Ruotsalainen
    Pages 63-68

  12. A Global Existence Result for Functional Differential Equations with Causal Operators

    • Constantin Corduneanu, Yizeng Li
    Pages 69-74

  13. Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes

    • Brian Driessen
    Pages 75-80

  14. Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method

    • Reza Fotouhi
    Pages 81-86

  15. Seminal Ideas in Integral Methods

    • Graham M. L. Gladwell
    Pages 87-97

  16. Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending

    • Norio Hasebe, Masahiro Miwa
    Pages 99-104

  17. Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS

    • John W. Hilgers, Barbara S. Bertram, William R. Reynolds
    Pages 105-110

  18. Numerical Technique for Solving an Ordinary Differential Equation by Picard’s Method

    • Hiroshi Hirayama
    Pages 111-116

  19. On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems

    • Jiri V. Horák
    Pages 117-122

  20. Recent Mathematical Developments for Functionally Graded Linearly Elastic Materials

    • Cornelius O. Horgan
    Pages 123-130
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Keywords

Reviews

"The present book…focuses on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Actually, its aim is to show…research work in which integration, in one form or another, is the main investigative tool.

A lot of problems are solved in areas such as solid mechanics, fluid dynamics, thermoelasticity, plates and shells, liquid crystals, diffusion and diffraction theory, Hamiltonian systems, resonance, nonlinear waves, plasma, flight dynamics and structural networks.… Generally, this book provides new results in the study of various physical and mechanical models and offers illustrations of efficient methods with numerical results and analytical methods. It can be useful to researchers and practitioners in applied mathematics, mechanical engineering and theoretical physicists, interested in current research in ordinary and partial differential equations, integral equations and numerical analysis."

—Memoriile Sectiilor Stiintifice

Editors and Affiliations

  • Department of Mathematics, University of Strathclyde, Glasgow, UK

    Christian Constanda

  • Department of Mechanical Engineering, University of Alberta, Edmonton, Canada

    Peter Schiavone, Andrew Mioduchowski

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