Ebook: Problems and Methods in Mathematical Physics: The Siegfried Prössdorf Memorial Volume Proceedings of the 11th TMP, Chemnitz (Germany), March 25–28, 1999

This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Prössdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Prössdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Prössdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.

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This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Pr?ssdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Pr?ssdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Pr?ssdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.

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This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Pr?ssdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Pr?ssdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Pr?ssdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.
Content:
Front Matter....Pages i-viii
Obituary....Pages 1-3
In memory of Siegfried Pr??dorf....Pages 4-8
Siegfried Pr??dorf — A short review of his scientific career....Pages 9-26
On the theory of a singular Vekua system....Pages 27-35
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators....Pages 36-59
Biorthogonal wavelet approximation methods for the heat equation....Pages 60-72
Orientable and nonorientable Riemann-Hilbert problems....Pages 73-88
Diffraction in Periodic Structures and Optimal Design of Binary Gratings. Part II: Gradient Formulas for TM Polarization....Pages 89-108
A connection between the determinant and characteristic numbers of an operator pencil....Pages 109-119
Random walk models approximating symmetric space-fractional diffusion processes....Pages 120-145
On Qualocation and Collocation Methods for Singular Integral Equations with Piecewise Continuous Coefficients, Using Continuous Splines on Quasi-uniform Meshes....Pages 146-161
Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products....Pages 162-193
Towards H—Matrix Approximation of Linear Complexity....Pages 194-220
Wavelet Galerkin Schemes for 2D-BEM....Pages 221-260
On the stability of collocation methods for Cauchy singular integral equations on an interval....Pages 261-277
On a new approach for solving Dirac equations with some potentials and Maxwell’s system in inhomogeneous media....Pages 278-306
Revisiting a quadrature method for CSIE with a weakly singular perturbation kernel....Pages 307-326
Fourier Projections in Weighted L?-Spaces....Pages 327-351
Maximal Banach algebra in spaces of multipliers between Bessel potential spaces....Pages 352-365
Mixed Type Direct and Inverse Scattering Problems....Pages 366-389
On an inverse problem in groundwater filtration and its regularization by the conjugate gradient method....Pages 390-401
Discretization methods for the Lavrent’ev regularization....Pages 402-425
On a Hierarchical Three-Point Basis in the Space of Piecewise Linear Functions over Smooth Surfaces....Pages 426-441
Algebras of approximation sequences: Fractality....Pages 442-470
Fast solvers of generalized airfoil equation of index 1....Pages 471-497
On Plane Potential Flow Past a Porous Circular Cylinder....Pages 498-516
....Pages 517-523