Mathematical Questions and Solutions, Vol. 52

Mathematical Questions and Solutions, Vol. 52 PDF

Author: W. J. C. Miller

Publisher: Forgotten Books

Published: 2017-10-20

Total Pages: 142

ISBN-13: 9780266541899

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Excerpt from Mathematical Questions and Solutions, Vol. 52: From the "Educational Times," With Many Papers and Solutions in Addition to Those Published in the "Educational Times," With an Appendix Of this series there have now been published fifty-two Volumes, each of which contains, in addition to the papers and solutions that have appeared in the Educational Times, an equal quantity of new articles, and comprises contributions, in all branches of Mathematics, from most of the leading Mathemati other countries. New Subscribers may have any of these Volumes at Subscription-prices. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Problems Of Multiphase Fluid Filtration

Problems Of Multiphase Fluid Filtration PDF

Author: A N Konovalov

Publisher: World Scientific

Published: 1994-10-10

Total Pages: 190

ISBN-13: 9814502138

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This book deals with a spectrum of problems related to the mathematical modeling of multiphase filtration. Emphasis is placed on an inseparable triad: model — algorithm — computer code. An analysis of new and traditional filtration problems from the point of view of both their numerical implementation and the reproduction of one or another technological characteristics of the processes under consideration is given. The basic principles which underlie the construction of efficient numerical methods taking into account the filtration problems are discussed: non-evolutionary nature, degeneration, strongly varying coefficients, the (temporal) duration of the processes involved, etc. Also attention is paid to the splitting method in terms of the physical processes involved, the method of fictitious domains and the method of front separation in grid solution. A modular analysis is performed with computational algorithms, making it possible to set up simultaneously the structure of the algorithms themselves and the structure of programs to implement these algorithms on a computer. In conclusion, the author discusses issues concerning the possibility of constructing a model of an oil deposit on a computer.

Combinatorics and Graph Theory

Combinatorics and Graph Theory PDF

Author: John Harris

Publisher: Springer Science & Business Media

Published: 2008-09-19

Total Pages: 392

ISBN-13: 0387797106

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These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

Handbook of Nonlinear Partial Differential Equations, Second Edition

Handbook of Nonlinear Partial Differential Equations, Second Edition PDF

Author: Andrei D. Polyanin

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 1878

ISBN-13: 142008724X

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New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Partial Differential Equations and Spectral Theory

Partial Differential Equations and Spectral Theory PDF

Author: Michael Demuth

Publisher: Springer Science & Business Media

Published: 2001

Total Pages: 368

ISBN-13: 9783764362195

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The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.

Oblique Derivative Problems for Elliptic Equations in Conical Domains

Oblique Derivative Problems for Elliptic Equations in Conical Domains PDF

Author: Mikhail Borsuk

Publisher: Springer Nature

Published: 2023-05-31

Total Pages: 334

ISBN-13: 3031283813

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The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. The question on the behavior of solutions of elliptic boundary value problems near boundary singularities is of great importance for its many applications, e.g., in hydrodynamics, aerodynamics, fracture mechanics, in the geodesy etc. Only few works are devoted to the regular oblique derivative problems for second order elliptic equations in non-smooth domains. All results are given with complete proofs. The monograph will be of interest to graduate students and specialists in elliptic boundary value problems and their applications.