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This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
A collection of ten original contemporary stories of the supernatural which reflect a Jewish tradition that can be traced to the biblical story of Saul and the spirit of Samuel.
In preparing the present work it has been my aim to present to English speaking people a practical text book of the Bohemian language written along modern lines, explaining the grammatical principles and supplying enough exercises to illustrate them. As far as I am aware there are only two other books published on the same subject in English:—Chas. Jonáš “Bohemian Made Easy” a book based on conversational method and Grammar of the Bohemian language by W. Morfill, a very brief work destined for philologists rather than general students. As Jonáš’s book is out of print, and, as there is quite a demand for a practical text book of Bohemian among businessmen and students—Bohemian is at present taught at several Universities and High Schools in the United States—this work was undertaken
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Diffusion processes serve as a mathematical model for the physical phenomenon of diffusion. One of the most important problems in the theory of diffusion processes is the development of methods for constructing these processes from a given diffusion matrix and a given drift vector. Focusing on the investigation of this problem, this book is intended for specialists in the theory of random processes and its applications. A generalized diffusion process (that is, a continuous Markov process for which the Kolmogorov local characteristics exist in the generalized sense) can serve as a model for diffusion in a medium moving in a nonregular way. The author constructs generalized diffusion processes under two assumptions: first, that the diffusion matrix is sufficiently regular; and second, that the drift vector is a function integrable to some power, or is a generalized function of the type of the derivative of a measure.