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[null,"1.","Record Nr.",null,"UNINA9910786641803321"]
[null,null,"Titolo",null,"Differential equations and numerical mathematics : selected papers presented to a national conference held in Novosibirsk, September 1978 / / edited by G. I. Marchuk"]
[null,null,"Pubbl/distr/stampa",null,"Oxford, England : , : Pergamon Press, , 1982"]
[{"$nulls":4},"©1982"]
[null,null,"ISBN",null,"1-4831-5454-8"]
[null,null,"Edizione",null,"[First English edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (165 p.)"]
[null,null,"Disciplina",null,"515.3/5"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Numerical analysis"]
[{"$nulls":4},"Functional analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters."]
[null,null,"Nota di contenuto",null,"Front Cover; Differential Equations and Numerical Mathematics; Copyright Page; Preface; Table of Contents; SECTION A: Cubature Formulae and Functional Analysis; CHAPTER 1. On an analogue of Plancherel's theorem and on the qualitative character of the spectrum of a self-adjoint operator; References; References; CHAPTER 2. Self-adjoint operators in spaces of functions of an infinite number of variables; CHAPTER 3. Multidimensional non-linear spectral boundary value problems and soliton superposition of their asymptotic solutions; 1. A non-linear spectral boundary value problem of Steklov type"]
[{"$nulls":4},"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"]
[{"$nulls":4},"2. The second asymptotic formula3. The domain of validity of formula II; 4. The magnitude of qlIj{k) and the error for large values of q; 5. The first asymptotic formula; 6. Estimation of ζ; 7. The estimation of Σ1; 8. The estimation of Σ2; 9. The estimation of the error of formula I; 10. The estimation of the length of productive intervals for q = 0(k-1/2); "]
[{"$nulls":4},"References; CHAPTER 8. On certain mathematical problems in hydrodynamics; 1. On the approximation of solenoidal vector fields"]
[{"$nulls":4},"2. The second problem we should like to consider is the investigation of the decay and rise of vorticity in a moving continuous mediumReferences; CHAPTER 9. On the solvability of the Sturm-Liouville inverse problem on the entire line; 1. Solution of the inverse problem on the entire line by a spectral matrix function; 2. Application to the Korteveg-de Vries equation; References; CHAPTER 10. Asymptotic properties of solutions of partial differential equations; References; CHAPTER 11. Boundary value problems for weakly elliptic systems of differential equations; References"]
[{"$nulls":4},"SECTION C: Numerical Mathematics"]
[null,null,null,"Sommario/riassunto","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"]