A unified approach to boundary value problems / Athanassios S. Fokas

• Autore: Fokas, A. S.
• 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
• Serie: CBMS-NSF regional conference series in applied mathematics ; 78