Differential equations and numerical mathematics : selected papers presented to a national conference held in Novosibirsk, September 1978 / edited by G. I. Marchuk.

In September 1978, in the Siberian Scientific Centre (Novosibirsk), the national conference on "Differential Equations and Numerical Mathematics" took place. This conference was held during the days of the 70th Jubilee of the prominent Soviet mathematician Academician S. L. Sobolev, and it...

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Bibliographic Details
Other Authors: Marchuk, G. I. (Guriĭ Ivanovich), 1925-2013 (Editor)
Format: eBook
Language:English
French
Russian
Published: Oxford : Pergamon Press, [1982]
Subjects:
Online Access:Click for online access

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245 0 0 |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. 
246 3 0 |a Selected papers presented to a national conference held in Novosibirsk, September 1978 
264 1 |a Oxford :  |b Pergamon Press,  |c [1982] 
264 4 |c ©1982 
300 |a 1 online resource (viii, 156 pages) :  |b illustrations 
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504 |a Includes bibliographical references at chapter ends. 
505 0 0 |g Section A.  |t Cubature formulae and functional analysis ;  |g 1.  |t On an analogue of Plancherel's theorem and on the qualitative character of the spectrum of a self-adjoint operator /  |r R. A. Alexandrjan and  |r R. Z. Mkrtchjan --  |g 2.  |t Self-adjoint operators in spaces of functions of an infinite number of variables /  |r Yu. M. Berezanskii --  |g 3.  |t Multidimensional non-linear spectral boundary value problems and soliton superposition of their asymptotic solutions /  |r S. Ju. Dobrokhotov and  |r V. P. Maslov --  |g 4.  |t Réduction de la dimension dans un problème de contrôle optimal /  |r J-L. Lions --  |g 5.  |t Embedding theorems for a class of weight spaces and applications /  |r P. I. Lizorkin and  |r M. Otelbaev --  |g 6.  |t Theory of multipliers in spaces of differentiable functions and applications /  |r V. G. Maz'ya and  |r T. O. Shaposhnikova -- 
505 0 0 |g Section B.  |t Differential equations ;  |g 7.  |t On the roots of Euler polynomials /  |r S. L. Sobolev --  |g 8.  |t On certain mathematical problems in hydrodynamics /  |r A. A. Dezin,  |r T. I. Zelenyak, and  |r V. N. Maslennikova --  |g 9.  |t On the solvability of the Sturm-Liouville inverse problem on the entire line /  |r B. M. Levitan --  |g 10.  |t Asymptotic properties of solutions of partial differential equations /  |r O. A. Oleinik --  |g 11.  |t Boundary value problems for weakly elliptic systems of differential equations /  |r R. S. Saks -- 
505 0 0 |g Section C.  |t Numerical mathematics ;  |g 12.  |t A generalization of the finite element method for solution of hyperbolic equations /  |r J. Brilla --  |g 13.  |t An asymptotic minimization of computational costs for solving strongly elliptic boundary value problems /  |r E. G. Djakonov --  |g 14.  |t On optimal algorithms for solving the problems of numerical mathematics /  |r V. V. Ivanov --  |g 15.  |t Game theory and optimality of iterative methods /  |r V. I. Lebedev --  |g 16.  |t The block-relaxation method for solution of the Dirichlet problem /  |r Yu. A. Kuznetsov --  |g 17.  |t On the asymptotic behaviour of solutions of the homogeneous transport equation /  |r I. Marek --  |g 18.  |t The method of inner boundary conditions and its applications.  |t A new approach to the numerical solution of boundary integral equations /  |r V. S. Rjabenkij --  |g 19.  |t Inverse problems and energy inequalities /  |r V. G. Romanov. 
520 |a In September 1978, in the Siberian Scientific Centre (Novosibirsk), the national conference on "Differential Equations and Numerical Mathematics" took place. This conference was held during the days of the 70th Jubilee of the prominent Soviet mathematician Academician S. L. Sobolev, and it attracted considerable attention. More than a hundred mathematicians participated in it, among them well-known Soviet scientists and a number of foreign guests. The conference was divided into three sections: Section A-Cubature Formulae and Functional Analysis; Section B-Differential Equations; and Section C-Numerical Mathematics. The main subjects of Section A were the modern theory of efficient cubature formulas, embedding theorems, and problems of spectral analysis. In Section B the theoretical questions of partial differential equations were considered. A number of papers were devoted to hyperbolic equations and systems, and also to new formulations and methods for nonclassical problems of mathematical physics, in particular to the asymptotic properties of their solutions. And, finally, in Section C the various problems of numerical mathematics were treated. The main trend here concerned the optimum and asymptotically optimum algorithms for solving the problems of numerical mathematics. Both the general theory of computations and applied methods for elliptic partial differential equations were studied here. Other papers were devoted to the inverse problems, and to homogenization methods for equations with oscillating coefficients. We hope that the English edition of these selected papers will be interesting for our foreign colleagues. 
546 |a In English translated from the Russian, with one paper in French. 
588 0 |a Print version record. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2011  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
650 0 |a Differential equations. 
650 0 |a Numerical analysis. 
650 0 |a Functional analysis. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Differential equations  |2 fast 
650 7 |a Functional analysis  |2 fast 
650 7 |a Numerical analysis  |2 fast 
655 7 |a proceedings (reports)  |2 aat 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congrès.  |2 rvmgf 
700 1 |a Marchuk, G. I.  |q (Guriĭ Ivanovich),  |d 1925-2013,  |e editor.  |1 https://id.oclc.org/worldcat/entity/E39PBJcrbb7k8gGbmxHmyMrcyd 
758 |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 
776 0 8 |i Print version:  |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 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1901292  |y Click for online access 
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