Integral Methods in Science and Engineering, Volume 1

1. Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator

   • D. Mitrea, N. Okamoto

   Pages 227-235

2. A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate

   • A. Nobili, E. Radi, L. Lanzoni

   Pages 237-247

3. Mono-Energetic Neutron Space-Kinetics in Full Cylinder Symmetry: Simulating Power Decrease

   • F. R. Oliveira, B. E. J. Bodmann, M. T. Vilhena, F. Carvalho da Silva

   Pages 249-258

4. Asymptotic Solutions of Maxwell’s Equations in a Layered Periodic Structure

   • M. V. Perel, M. S. Sidorenko

   Pages 259-264

5. Some Properties of the Fractional Circle Zernike Polynomials

   • M. M. Rodrigues, N. Vieira

   Pages 265-276

6. Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian

   • S. Rogosin, M. Dubatovskaya

   Pages 277-292

7. Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces

   • O. Steinbach

   Pages 293-303

8. Spectral Lanczos’ Tau Method for Systems of Nonlinear Integro-Differential Equations

   • P. B. Vasconcelos, J. Matos, M. S. Trindade

   Pages 305-314

9. Discreteness, Periodicity, Holomorphy, and Factorization

   • V. B. Vasilyev

   Pages 315-324

10. Modes Coupling Seismic Waves and Vibrating Buildings: Existence

    • D. Volkov, S. Zheltukhin

    Pages 325-334

11. Back Matter

    Pages 335-337

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This contributed volume contains a collection of articles on the most recent advances in integral methods.  The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as:
• Integral equations
• Homogenization
• Duality methods
• Optimal design
• Conformal techniques


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 to other professionals who use integration as an essential tool in their work.

• Integral methods
• Numerical methods
• Analytic methods
• Mathematical modeling
• Differential equations
• ordinary differential equations
• partial differential equations

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

  Christian Constanda, Matteo Dalla Riva

• Department of Mathematics, University of Padova, Padova, Italy

  Pier Domenico Lamberti

• Systems Analysis, Prognosis and Control, Fraunhofer Institute for Industrial Math, Kaiserslautern, Germany

  Paolo Musolino

Christian Constanda is the Chairman of the International Consortium on Integral Methods in Science and Engineering, Director of the Center for Boundary Integral Methods, and Charles W. Oliphant Endowed Professor of Mathematics at the University of Tulsa in Oklahoma.

Matteo Dalla Riva is an Assistant Professor of Mathematics at the University of Tulsa in Oklahoma. 

Pier Domenico Lamberti is an Associate Professor of Mathematics at the Universita' degli Studi di Padova in Italy


Paolo Musolino is a Research Fellow at Aberystwyth University's Institute of Mathematics, Physics and Computer Science in Wales. 

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