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Author : Yu.V. Egorov
Publisher : Unknown
Page : 259 pages
File Size : 41,9 Mb
Release : 1998
Category : Electronic
ISBN : OCLC:1152967730
Author : Yu.V. Egorov,M.A. Shubin
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 45,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642580932
From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993
Author : Mikhail Aleksandrovich Shubin
Publisher : Unknown
Page : 0 pages
File Size : 51,8 Mb
Release : 1992
Category : Differential equations, Partial
ISBN : OCLC:610509970
Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 52,8 Mb
Release : 1991
Category : Differential equations, Partial
ISBN : OCLC:24066858
Author : Mikhail Aleksandrovich Shubin
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 44,5 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39015022257052
Translated from the 1988 Russian edition. A general introduction, for nonspecialist mathematicians and physicists, to the classical theory. The first volume in a subseries on linear partial differential equations. Annotation copyright Book News, Inc. Portland, Or.
Author : Isaak Rubinstein,Lev Rubinstein
Publisher : Cambridge University Press
Page : 704 pages
File Size : 45,7 Mb
Release : 1998-04-28
Category : Mathematics
ISBN : 0521558468
The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
Author : A. K. Nandakumaran,P. S. Datti
Publisher : Cambridge University Press
Page : 377 pages
File Size : 43,9 Mb
Release : 2020-10-29
Category : Mathematics
ISBN : 9781108839808
A valuable guide covering the key principles of partial differential equations and their real world applications.
Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642489440
This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.
Author : M.S. Agranovich,Yuri Egorov,M.A. Shubin
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 52,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662067215
This EMS volume gives an overview of the modern theory of elliptic boundary value problems, with contributions focusing on differential elliptic boundary problems and their spectral properties, elliptic pseudodifferential operators, and general differential elliptic boundary value problems in domains with singularities.
Author : Yu.V. Egorov,A.I. Komech,M.A. Shubin
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 44,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9783642578762
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 54,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662067192
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. Also including a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum".
Author : Yurij V. Prokhorov,Albert N. Shiryaev
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 41,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662036402
This volume of the Encyclopaedia is a survey of stochastic calculus, an increasingly important part of probability, authored by well-known experts in the field. The book addresses graduate students and researchers in probability theory and mathematical statistics, as well as physicists and engineers who need to apply stochastic methods.
Author : Alʹbert Nikolaevich Shiri︠a︡ev
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 41,6 Mb
Release : 1998
Category : Business & Economics
ISBN : 3540546871
This volume of the Encyclopaedia is a survey of stochastic calculus, an increasingly important part of probability, authored by well-known experts in the field. The book addresses graduate students and researchers in probability theory and mathematical statistics, as well as physicists and engineers who need to apply stochastic methods.
Author : Vicentiu D. Radulescu,Vicenţiu D. Rădulescu
Publisher : Hindawi Publishing Corporation
Page : 205 pages
File Size : 50,5 Mb
Release : 2008
Category : Differential equations, Elliptic
ISBN : 9789774540394
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.
Author : Shaidurov Vladimir Viktorovich
Publisher : EOLSS Publications
Page : 542 pages
File Size : 49,6 Mb
Release : 2009-04-10
Category : Electronic
ISBN : 9781848260351
Computational Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. Modern Computational Mathematics arises in a wide variety of fields, including business, economics, engineering, finance, medicine and science. The Theme on Computational Models provides the essential aspects of Computational Mathematics emphasizing Basic Methods for Solving Equations; Numerical Analysis and Methods for Ordinary Differential Equations; Numerical Methods and Algorithms; Computational Methods and Algorithms; Numerical Models and Simulation. These two volumes are aimed at those seeking in-depth of advanced knowledge: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.