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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.
-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