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Problems and Methods in Mathematical Physics

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Table of Contents

Obituary.- In memory of Siegfried Proessdorf.- Siegfried Proessdorf - A short review of his scientific career.- On the theory of a singular Vekua system.- Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators.- Biorthogonal wavelet approximation methods for the heat equation.- Orientable and nonorientable Riemann-Hilbert problems.- Diffraction in periodic structures and optimal design of binary gratings. Part II: Gradient formulas for TM polarization.- A connection between the determinant and characteristic numbers of an operator pencil.- Random walk models approximating symmetric space-fractional diffusion processes.- On qualocation and collocation methods for singular integral equations with piecewise continuous coefficients, using continuous splines on quasi-uniform meshes.- Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products.- Towards H-matrix approximation of linear complexity.- Wavelet Galerkin schemes for 2D-BEM.- On the stability of collocation methods for Cauchy singular integral equations on an interval.- On a new approach for solving Dirac equations with some potentials and Maxwell's system in homogeneous media.- Revisiting a quadrature method for CSIE with weakly singular perturbation kernel.- Fourier projections in weighted L?-spaces.- Maximal Banach algebra in spaces of multipliers between Bessel potential spaces.- Mixed type direct and inverse scattering problems.- On an inverse problem in groundwater filtration and its regularization by the conjugate gradient method.- On a constructive representation of an orthogonal trigonometric Schauder basis for C2?.- Discretization methods for the Lavrent'ev regularization.- On a hierarchical three-point basis in the space of piecewise linear functions over smooth surfaces.- Algebras of approximation sequences: Fractality.- Fast solvers of generalized airfoil equation of index 1.- On plane potential flow past a porous circular cylinder.

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