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1. |
Record Nr. |
UNISALENTO991000166089707536 |
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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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ISBN |
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Descrizione fisica |
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Collana |
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CBMS-NSF regional conference series in applied mathematics ; 78 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index |
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Nota di contenuto |
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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 |
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2. |
Record Nr. |
UNINA9910830740503321 |
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Autore |
Schiesser W. E. |
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Titolo |
Method of lines PDE analysis in biomedical science and engineering / / William E. Schiesser, Department of Chemical and Biomolecular Engineering, Lehigh University, Bethlehem, PA, USA |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2016 |
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©2016 |
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ISBN |
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1-119-13051-4 |
1-119-13049-2 |
1-119-13050-6 |
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Descrizione fisica |
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1 online resource (373 p.) |
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Disciplina |
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Soggetti |
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Differential equations, Partial - Numerical solutions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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An introduction to MOL analysis of PDEs : wave front resolution in chromatography -- Wave front resolution in VEGF angiogenesis -- Thermographic tumor location -- Blood-tissue transport -- Two-fluid/membrane model -- Liver support systems -- Cross diffusion epidemiology model -- Oncolytic virotherapy -- Tumor cell density in glioblastomas -- MOL analysis with a variable grid : antigen-antibody binding kinetics. |
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