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141227s1982 enk ob 000 0 eng d |
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|a 9781483154541
|q (electronic bk.)
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|a 1483154548
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|a DEBBG
|b BV043616508
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|a DEBSZ
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|a (OCoLC)898771554
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|a QA371
|b .D445 1982
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|a 515.3/5
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|a UAMI
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|a Differential equations and numerical mathematics :
|b selected papers presented to a national conference held in Novosibirsk, September 1978 /
|c edited by G.I. Marchuk.
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|a Oxford ;
|a New York :
|b Pergamon Press,
|c ©1982.
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|a 1 online resource (165 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a Includes bibliographical references.
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|a Print version record.
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|a Front Cover; Differential Equations and Numerical Mathematics; Copyright Page; Preface; Table of Contents; SECTION A: Cubature Formulae and Functional Analysis; CHAPTER 1. On an analogue of Plancherel's theorem and on the qualitative character of the spectrum of a self-adjoint operator; References; References; CHAPTER 2. Self-adjoint operators in spaces of functions of an infinite number of variables; CHAPTER 3. Multidimensional non-linear spectral boundary value problems and soliton superposition of their asymptotic solutions; 1. A non-linear spectral boundary value problem of Steklov type.
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|a 2. Asymptotic complex-valued solutions, concentrated in the neighbourhood of closed geodesies3. ""Non-linear superposition"" of asymptotic solutions, multidimensional Dirichlet series and real-valued asymptotic solutions; 4. Example; 5. Problem of reflection from a boundary and finite-gap almost periodic solutions; References; CHAPTER 4. Réduction de la dimension dans un probléme de contrôle optimal; Introduction; 1. Position du probléme; 2. Enonce du résultat; 3. Bornes supérieures; 4. Dualité; 5. Bornes inférieures; Références.
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|a CHAPTER 5. Embedding theorems for a class of weight spaces and applicationsReferences; CHAPTER 6. Theory of multipliers in spaces of differentiable functions and applications; 1. Notation; 2. The description and properties of multiplier spaces; 3. Traces and extensions of multipliers on Wl p; 4. The space M(Mmp₂!Wl q); 5. Diffeomorphisms, manifolds and differential operators, connected with MWip; 6. Continuity of the convolution transformation in L2 with a weight; References; SECTION B: Differential Equations; CHAPTER 7. On the roots of Euler polynomials; 1. Introduction.
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|6 880-01
|a 2. The second problem we should like to consider is the investigation of the decay and rise of vorticity in a moving continuous mediumReferences; CHAPTER 9. On the solvability of the Sturm-Liouville inverse problem on the entire line; 1. Solution of the inverse problem on the entire line by a spectral matrix function; 2. Application to the Korteveg-de Vries equation; References; CHAPTER 10. Asymptotic properties of solutions of partial differential equations; References; CHAPTER 11. Boundary value problems for weakly elliptic systems of differential equations; References.
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|a SECTION C: Numerical Mathematics.
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|a Differential Equations and Numerical Mathematics contains selected papers presented in a national conference held in Novosibirsk on September 1978. This book, as the conference, is organized into three sections. Section A describes the modern theory of efficient cubature formulas; embedding theorems; and problems of spectral analysis. Section B considers the theoretical questions of partial differential equations, with emphasis on hyperbolic equations and systems, formulations, and methods for nonclassical problems of mathematical physics. Section C addresses the various problems of numerical.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Differential equations.
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|a Numerical analysis.
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|a Functional analysis.
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|a Équations différentielles.
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|a Analyse numérique.
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|a Analyse fonctionnelle.
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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|a Differential equations
|2 fast
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|a Functional analysis
|2 fast
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|a Numerical analysis
|2 fast
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|a Marchuk, G. I.
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|i has work:
|a Differential equations and numerical mathematics (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGYpVwYqk6CQR3FH7qVFYX
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|i Print version:
|a Marchuk, G.I.
|t Differential Equations and Numerical Mathematics : Selected Papers Presented to a National Conference Held in Novosibirsk, September 1978.
|d Oxford ; New York : Pergamon Press, ©1982
|z 9780080264912
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856 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1901292
|z Texto completo
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|6 505-01/(S
|a 2. The second asymptotic formula3. The domain of validity of formula II; 4. The magnitude of qlIj{k) and the error for large values of q; 5. The first asymptotic formula; 6. Estimation of ζ; 7. The estimation of Σ1; 8. The estimation of Σ2; 9. The estimation of the error of formula I; 10. The estimation of the length of productive intervals for q = 0(k-1/2); References; CHAPTER 8. On certain mathematical problems in hydrodynamics; 1. On the approximation of solenoidal vector fields.
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