Springer International Publishing AG, 2017. — 342 p. — ISBN 3319593838.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. Contents -AnL1-Product-Integration Method in Astrophysics -Differential Operators and Approximation Processes Generated by Markov Operators -Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D. -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 EquationMethod 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 Problem 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 -Asymptotic Solutions 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 SeismicWaves and Vibrating Buildings: Existence
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