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Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. (English) Zbl 1417.65006
Basel: Birkhäuser (ISBN 978-3-030-16076-0/hbk; 978-3-030-16077-7/ebook). xvi, 478 p. (2019).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1381.45002; Zbl 1381.45001].
Indexed articles:
Ahues, Mario; d’Almeida, Filomena D.; Fernandes, Rosário; Vasconcelos, Paulo B., Singularity subtraction for nonlinear weakly singular integral equations of the second kind, 1-13 [Zbl 07215928]
Anguiano, María; Bunoiu, Renata, On the flow of a viscoplastic fluid in a thin periodic domain, 15-24 [Zbl 1445.76075]
Araújo, Amarisio S.; Furtado, Helaine C. M.; de Campos Velho, Haroldo F., \(q\)-calculus formalism for non-extensive particle filter, 25-35 [Zbl 1442.62185]
Ayele, Tsegaye G., Two-operator boundary-domain integral equations for variable-coefficient Dirichlet problem with general data, 37-52 [Zbl 07215931]
Ayele, Tsegaye G.; Bekele, Solomon T., Two-operator boundary-domain integral equations for variable coefficient Dirichlet problem in 2D, 53-66 [Zbl 07215932]
Baratchart, Laurent; Leblond, Juliette; Ponomarev, Dmitry, Solution of a homogeneous version of Love type integral equation in different asymptotic regimes, 67-79 [Zbl 07215933]
Cantagesso, Luana C. M.; Sousa, Luara K. S.; Marotto, Tamires A.; Radovanovic, Anna M.; Pires, Adolfo Puime; Peres, Alvaro M. M., A semi-analytical solution for one-dimensional oil displacement by miscible gas in a homogeneous porous medium, 81-95 [Zbl 1446.76156]
Constanda, Christian; Doty, Dale, Bending of elastic plates: generalized Fourier series method for the Robin problem, 97-109 [Zbl 1445.74041]
Curbelo, Jesús P.; da Silva, Odair P.; Barros, Ricardo C., The adjoint spectral Green’s function method applied to direct and inverse neutral particle source-detector problems, 111-121 [Zbl 07215936]
Tachago, Joel Fotso; Nnang, Hubert; Zappale, Elvira, Relaxation of periodic and nonstandard growth integrals by means of two-scale convergence, 123-131 [Zbl 1444.49010]
Gómez, Delfina; Navazo-Esteban, Santiago; Pérez-Martínez, María-Eugenia, A stiff problem: stationary waves and approximations, 133-148 [Zbl 07215938]
Hakim, Layal, Modelling creep in concrete under a variable external load, 149-162 [Zbl 1446.74207]
Harris, Paul J., A combined boundary element and finite element model of cell motion due to chemotaxis, 163-172 [Zbl 1453.65322]
Hirayama, Hiroshi, Numerical calculation by quadruple precision higher order Taylor series method of the Pythagorean problem of three bodies, 173-183 [Zbl 1442.65085]
Kleefeld, Andreas, Shape optimization for interior Neumann and transmission eigenvalues, 185-196 [Zbl 07215942]
Ladeia, Cibele A.; Bodmann, Bardo E. J.; Vilhena, Marco T., On the integro-differential radiative conductive transfer equation: a modified decomposition method, 197-210 [Zbl 07215943]
Luzzini, Paolo; Musolino, Paolo, Periodic transmission problems for the heat equation, 211-223 [Zbl 1444.35092]
Mikhailov, Sergey E.; Woldemicheal, Zenebe W., On united boundary-domain integro-differential equations for variable coefficient Dirichlet problem with general right-hand side, 225-235 [Zbl 07215945]
Mikhailov, Sergey E.; Musolino, Paolo; Orlik, Julia, Rescaling and trace operators in fractional Sobolev spaces on bounded Lipschitz domains with periodic structure, 237-251 [Zbl 07215946]
Mohammadikharkeshi, Mobina; Molayari, Asad; Dabirian, Ramin; Mohan, Ram S.; Shoham, Ovadia, Design and performance of a multiphase flow manifold, 253-266 [Zbl 1446.76171]
Nazarov, Sergey A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia, On the polarization matrix for a perforated strip, 267-281 [Zbl 1442.31003]
Orlik, Julia; Andrä, Heiko; Staub, Sarah, Operator perturbation approach for fourth order elliptic equations with variable coefficients, 283-295 [Zbl 1442.35022]
Papoutsakis, Andreas, Extension of the fully Lagrangian approach for the integration of the droplet number density on caustic formations, 297-308 [Zbl 1444.76120]
Parigi, Aline R.; Segatto, Cynthia F.; Bodmann, Bardo E. J., The nodal \(LTS_N\) solution in a rectangular domain: a new method to determine the outgoing angular flux at the boundary, 309-320 [Zbl 1453.82100]
da Penha Neto, Gerson; de Campos Velho, Haroldo F.; Shiguemori, Elcio H.; Braga, José Renato G., Image processing for UAV autonomous navigation applying self-configuring neural network, 321-332 [Zbl 1447.93228]
Pereira, Eduardo S.; Santos, Pedro A.; Velho, Haroldo F. De Campos, Towards the super-massive black hole seeds, 333-342 [Zbl 1444.83010]
Perel, Maria V.; Gorodnitskiy, Evgeny A., Decomposition of solutions of the wave equation into Poincaré wavelets, 343-352 [Zbl 07215954]
Pieronek, Lukas; Kleefeld, Andreas, The method of fundamental solutions for computing interior transmission eigenvalues of inhomogeneous media, 353-365 [Zbl 1453.65399]
Quiñones-Valles, Diego; Dolgov, Sergey; Savostyanov, Dmitry, Tensor product approach to quantum control, 367-379 [Zbl 07215956]
Sambatti, Sabrina B. M.; de Campos Velho, Haroldo F.; Chiwiacowsky, Leonardo D., Epidemic genetic algorithm for solving inverse problems: parallel algorithms, 381-394 [Zbl 1452.65112]
Schramm, Juliana; Bodmann, Bardo E. J., A chemical kinetics extension to the advection-diffusion equation by NO\(_x\) and SO\(_2\), 395-407 [Zbl 1444.92146]
Schuck, Adalberto jun.; Bodmann, Bardo E. J., On the development of an alternative proposition of cross wavelet analysis for transient discrimination problems, 409-423 [Zbl 07215959]
Schuck, Adalberto jun.; Ferreira, Luiz F.; Husemann, Ronaldo; Bodmann, Bardo E. J., A simple non-linear transfer function for a Wiener-Hammerstein model to simulate guitar distortion and overdrive effects, 425-436 [Zbl 1447.93213]
Singh, Aditya; Younis, Mudasir; Singh, Deepak, Existence of nonlinear problems: an applicative and computational approach, 437-450 [Zbl 07215961]
Younis, Mudasir; Singh, Deepak; Goyal, Anil, Solving existence problems via \(F\)-Reich contraction, 451-463 [Zbl 07215962]
Zubik-Kowal, Barbara, On the convergence of dynamic iterations in terms of model parameters, 465-476 [Zbl 07215963]
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
45-06 Proceedings, conferences, collections, etc. pertaining to integral equations
65Z05 Applications to the sciences
00A79 Physics (Use more specific entries from Sections 70-XX through 86-XX when possible)
00B15 Collections of articles of miscellaneous specific interest
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