Mathematical Problems In Wave Propagation Theory Pt

Mathematical Problems in Wave Propagation Theory. Pt

Automatic Programming and Numerical Methods of Analysis

The present collection contains the results reported in 1970 at the Seminar on Approximate Com putations held by the Leningrad Section of the Mathematical Institute. Two trends are represented in the collection: automatic programming and numerical methods of analysis. V. N. Faddeeva CONTENTS On the Main Concepts of Parallel Sequencing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 T. A. Tushkina and K. V. Shakhbazyan The Solution of Certain Parallel Sequencing Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 T. A. Tushkina and K. V. Shakhbazyan Choice of Enumeration in Parallel Sequencing Problems. . . . . . . . . . . . . . . . . . . . . . . . . . 13 K. V. Shakhbaz yan The PRORAB-Computer III (P, v) M-20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 T. N. Smirnova, A. A. Aleksandrova, Yu. V. Rybakova, and N. A. Solov'eva Application of the PRORAB-Computer III (P, v) M-20 to the Solving of Linear Programming Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 T. N. Smirnova On a Matrix Inversion Method. . • . . . . . . . • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 V. D. Vulichevich The Solution of a Particular Eigenvalue Problem for Certain Matrices of Special Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 V. D. Vulichevich and V. N. Kublanovskaya Solution of a Particular Eigenvalue Problem for a Polynomial Matrix. . . . . . . . . . . . . . . . . 65 M. I. Mavlyanova On a Method for Constructing the Matrix Solution for a Polynomial Matrix. . . . . . . . . . . . . . . 71 M. I. Mavlyanova On One Approach to the Solution of the Inverse Eigenvalue Problem. . . . . . . . . . . .. . . . . . . 80 V. N. Kublanovskaya Convergence of the Method of Lines when Solving Nonlinear Parabolic Boundary Value Problems with Discontinuous Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 A. P. Kubanskaya Some Applications of the Five-Point Scheme of the Method of Lines . . . . . . . . . . . . . . . . . . 93 A. P. Kubanskaya On Expansions into Nonminimal Sequences. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 L. N.

Mathematical Geophysics

The contributions to this book follow a topical trend. In several geophysical fields evidence is accumulating concerning the deviation of the earth's structure from radial symmetry. Seismology provides the most adequate resolution for revealing the earth's lateral inhomogeneity on a global to local scale. Lateral structure in the density distribution is also manifest in the earth's gravity field and in the geoid. Asphericity in physical parameters, generally supposed only to vary with the vertical coordinate, has a profound influence on geodynamics. The effects of these deviations from spherical symmetry concern in particular convection theory, post-glacial rebound and the dynamics of the lithosphere and upper mantle in general. At the 16th International Conference on Mathematical Geophysics which was held in Oosterbeek, the Netherlands, in 1986, the need was felt to present the state of the art. Several prospective authors were found interested to contribute to the present book. This Oosterbeek conference was one in a long series of topical conferences starting with the Upper Mantle Project Symposia on Geophysical Theory and Computers in the 1960s, and thence their successors, the conferences on Mathematical Geophysics, until the present.