Integral Methods in Science and Engineering, Volume 1

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.- 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 Seismic Waves and Vibrating Buildings: Existence.- Index.