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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.
Sommario
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-Laplacian in n-Dimensional Perforated Domains.- Interior Transmission Eigenvalues for Anisotropic Media.- Improvement of the Inside-Outside Duality Method.- A Note on Optimal Design for Thin Structures in the Orlicz-Sobolev Setting.- On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis.- An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics.- An Instability Result for Suspension Bridges.- A New Diffeomorph Conformal Methodology to Solve Flow Problems with Complex Boundaries by an Equivalent Plane Parallel Problem.- A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer with Variable Coefficient.- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator.- A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate.- Mono-energetic Neutron Space-Kinetics in Full Cylinder Symmetry: Simulating Power Decrease.- AsymptoticSolutions of Maxwell's Equations in a Layered Periodic Structure.- Some Properties of the Fractional Circle Zernike Polynomials.- Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian.- Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces.- Spectral Lanczos' Tau Method for Systems of Nonlinear Integro-differential Equations.- Discreteness, Periodicity, Holomorphy, and Factorization.- Modes Coupling Seismic Waves and Vibrating Buildings: Existence.- Index.
Info autore
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.
Riassunto
Collection of up-to-date reports on state-of-the-art developments in the theory of integral methods
Chapters written by well-known specialists in their fields
Covers a broad range of special topics, including integral equations, homogenization, duality methods, optimal design, and conformal techniques
Useful for an interdisciplinary audience of graduate students, researchers, and industry professionals
