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Autore: |
Fokas, A. S.
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Titolo: |
A unified approach to boundary value problems / Athanassios S. Fokas
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Descrizione fisica: | xv, 336 p. ; 24 cm |
Disciplina: | 515/.35 |
Soggetto topico: | Boundary value problems |
Classificazione: | LC QA379 |
53.1.5 | |
Nota di bibliografia: | Includes bibliographical references and index |
Nota di contenuto: | A new transform method for linear evolution equations -- Evolution equations on the half line -- Evolution equations on the finite interval -- Asymptotics and a novel numerical technique -- Analyitic inversion of integrals -- From PDEs to classical transforms -- Riemann-Hilbert and d-bar problems -- The Fourier transform and its variations -- The inversion of the attenuated radon transform and medical imaging -- The Dirichlet to Neumann map for a moving boundary -- Novel integral representations for linear boundary value problems -- Divergence formulation, the global relation, and lax pairs -- Rederivation of the integral representations on the half-line and the finite interval -- The basic elliptic PDEs in a polygonal domain -- Novel analytical and numerical methods for elliptic PDEs in a convex polygon -- The new transform method for elliptic PDEs in simple polygonal domains -- Formulation of Riemann-Hilbert problems -- A collocation method in the Fourier plane -- Integrable nonlinear PDEs -- From linear to integrable nonlinear PDEs -- Nonlinear integrable PDEs on the half-line -- Linearizable boundary conditions -- The generalized Dirichlet to Neumann map -- Asymptotics of oscillatory Riemann-Hilbert problems |
ISBN: | 9780898716511 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 991000166089707536 |
Lo trovi qui: | Univ. del Salento |
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