Obituary -- In memory of Siegfried Prößdorf -- Siegfried Prößdorf - 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.