Differential equations and numerical mathematics : selected papers presented to a national conference held in Novosibirsk, September 1978 / / edited by G. I. Marchuk |
Edizione | [First English edition.] |
Pubbl/distr/stampa | Oxford, England : , : Pergamon Press, , 1982 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina | 515.3/5 |
Soggetto topico |
Differential equations
Numerical analysis Functional analysis |
ISBN | 1-4831-5454-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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
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 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 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 SECTION C: Numerical Mathematics |
Record Nr. | UNINA-9910786641803321 |
Oxford, England : , : Pergamon Press, , 1982 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential equations and numerical mathematics : selected papers presented to a national conference held in Novosibirsk, September 1978 / / edited by G. I. Marchuk |
Edizione | [First English edition.] |
Pubbl/distr/stampa | Oxford, England : , : Pergamon Press, , 1982 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina | 515.3/5 |
Soggetto topico |
Differential equations
Numerical analysis Functional analysis |
ISBN | 1-4831-5454-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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
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 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 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 SECTION C: Numerical Mathematics |
Record Nr. | UNINA-9910823706203321 |
Oxford, England : , : Pergamon Press, , 1982 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|