Integral Methods in Science and Engineering

1. Front Matter

   Pages i-xvi

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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

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.

• Integral Equation
• Integro-Differential Equation
• Boundary Value Problems
• Wiener-Hopf Method
• Volterra Equation

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

  Christian Constanda

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

  Paul Harris

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

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