Springer International Publishing AG, 2017. — 334 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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