Integral Methods in Science and Engineering, Volume 1 : Theoretical Techniques / edited by Christian Constanda, Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Musolino.

Format:

Book

Contributor:

Constanda, Christian., Editor.

Dalla Riva, Matteo., Editor.

Lamberti, Pier Domenico., Editor.

Musolino, Paolo., Editor.

Language:

English

Subjects (All):

Differential equations.

Integral equations.

Numerical analysis.

Differential Equations.

Integral Equations.

Numerical Analysis.

Local Subjects:

Differential Equations.

Integral Equations.

Numerical Analysis.

Physical Description:

1 online resource (XXIV, 340 p. 163 illus., 111 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.

Summary:

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.

Contents:

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. .

Notes:

Includes bibliographical references and index.

ISBN:

3-319-59384-6