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Integral Methods in Science and Engineering

Analytic Treatment and Numerical Approximations

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  • © 2019

Overview

Editors:
  1. Christian Constanda

    1. Department of Mathematics, The University of Tulsa, Tulsa, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Paul Harris

    1. Computing, Engineering, and Mathematics, University of Brighton, Brighton, UK

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    You can also search for this editor in PubMed   Google Scholar

  • Collection of up-to-date reports on state-of-the-art developments in the field of integral methods
  • Chapters written by a diverse group of well-established scientists
  • Useful for an interdisciplinary audience of graduate students, researchers, and professionals across mathematics and the sciences

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Table of contents (36 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind

    • Mario Ahues, Filomena D. d’Almeida, Rosário Fernandes, Paulo B. Vasconcelos
    Pages 1-13

  3. On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain

    • María Anguiano, Renata Bunoiu
    Pages 15-24

  4. q-Calculus Formalism for Non-extensive Particle Filter

    • Amarisio S. Araújo, Helaine C. M. Furtado, Haroldo F. de Campos Velho
    Pages 25-35

  5. Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem with General Data

    • Tsegaye G. Ayele
    Pages 37-52

  6. Two-Operator Boundary-Domain Integral Equations for Variable Coefficient Dirichlet Problem in 2D

    • Tsegaye G. Ayele, Solomon T. Bekele
    Pages 53-66

  7. Solution of a Homogeneous Version of Love Type Integral Equation in Different Asymptotic Regimes

    • Laurent Baratchart, Juliette Leblond, Dmitry Ponomarev
    Pages 67-79

  8. A Semi-analytical Solution for One-Dimensional Oil Displacement by Miscible Gas in a Homogeneous Porous Medium

    • Luana C. M. Cantagesso, Luara K. S. Sousa, Tamires A. Marotto, Anna M. Radovanovic, Adolfo Puime Pires, Alvaro M. M. Peres
    Pages 81-95

  9. Bending of Elastic Plates: Generalized Fourier Series Method for the Robin Problem

    • Christian Constanda, Dale Doty
    Pages 97-109

  10. The Adjoint Spectral Green’s Function Method Applied to Direct and Inverse Neutral Particle Source–Detector Problems

    • Jesús P. Curbelo, Odair P. da Silva, Ricardo C. Barros
    Pages 111-121

  11. Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence

    • Joel Fotso Tachago, Hubert Nnang, Elvira Zappale
    Pages 123-131

  12. A Stiff Problem: Stationary Waves and Approximations

    • Delfina Gómez, Santiago Navazo-Esteban, María-Eugenia Pérez-Martínez
    Pages 133-148

  13. Modelling Creep in Concrete Under a Variable External Load

    • Layal Hakim
    Pages 149-162

  14. A Combined Boundary Element and Finite Element Model of Cell Motion due to Chemotaxis

    • Paul J. Harris
    Pages 163-172

  15. Numerical Calculation by Quadruple Precision Higher Order Taylor Series Method of the Pythagorean Problem of Three Bodies

    • Hiroshi Hirayama
    Pages 173-183

  16. Shape Optimization for Interior Neumann and Transmission Eigenvalues

    • Andreas Kleefeld
    Pages 185-196

  17. On the Integro-Differential Radiative Conductive Transfer Equation: A Modified Decomposition Method

    • Cibele A. Ladeia, Bardo E. J. Bodmann, Marco T. Vilhena
    Pages 197-210

  18. Periodic Transmission Problems for the Heat Equation

    • Paolo Luzzini, Paolo Musolino
    Pages 211-223

  19. On United Boundary-Domain Integro-Differential Equations for Variable Coefficient Dirichlet Problem with General Right-Hand Side

    • Sergey E. Mikhailov, Zenebe W. Woldemicheal
    Pages 225-235

  20. Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure

    • Sergey E. Mikhailov, Paolo Musolino, Julia Orlik
    Pages 237-251
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Keywords

About this book

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers. The topics addressed are wide ranging, and include:
  • Asymptotic analysis
  • Boundary-domain integral equations
  • Viscoplastic fluid flow
  • Stationary waves
  • Interior Neumann shape optimization
  • Self-configuring neural networks

This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

Editors and Affiliations

  • Department of Mathematics, The University of Tulsa, Tulsa, USA

    Christian Constanda

  • Computing, Engineering, and Mathematics, University of Brighton, Brighton, UK

    Paul Harris

About the editors

Christian Constanda, PhD, is the Charles W. Oliphant Professor of Mathematics at The University of Tulsa, Oklahoma, USA


Paul Harris, PhD, is a professor at the School of Computing, Engineering & Maths at the University of Brighton

Bibliographic Information

  • Book Title: Integral Methods in Science and Engineering

  • Book Subtitle: Analytic Treatment and Numerical Approximations

  • Editors: Christian Constanda, Paul Harris

  • DOI: https://doi.org/10.1007/978-3-030-16077-7

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-16076-0Published: 30 July 2019

  • Softcover ISBN: 978-3-030-16079-1Published: 14 August 2020

  • eBook ISBN: 978-3-030-16077-7Published: 18 July 2019

  • Edition Number: 1

  • Number of Pages: XVI, 478

  • Number of Illustrations: 44 b/w illustrations, 82 illustrations in colour

  • Topics: Integral Equations, Numerical Analysis, Mathematical Applications in the Physical Sciences

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