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.
An L1-Product-Integration Method in Astrophysics.- Differential Operators and Approximation Processes Generated by Markov Operators.- Analysis of Boundary-Domain Integral Equations for Variable-Coefficient BVPs in 2D: I. Neumann Problem.- A Measure of the Torsional Performances of Partially Hinged Rectangular Plates.- On a Class of Integral Equations Involving Kernels of Cosine and Sine Type.- The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications.- Bending of Elastic Plates: Generalized Fourier Series Method.- Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains.- Fredholmness of Nonlocal Singular Integral Operators with Slowly Oscillating Data.- Multidimensional Time Fractional Diffusion Equation.- On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-lÓ4
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