Multi-scale and high-contrast PDE : from modelling, to mathematical analysis, to inversion. Conference on Multi-scale and High-contrast PDE: from Modelling, to Mathematical Analysis, to Inversion, June 28-July 1, 2011, University of Oxford, United Kingdom /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: Conference on Multi-scale and High-contrast PDE: from Modelling, to Mathematical Analysis, to Inversion Oxford, England, American Mathematical Society
Otros Autores: Ammari, Habib, Capdeboscq, Yves, 1971-, Kang, Hyeonbae
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, ©2010.
Colección:Contemporary mathematics (American Mathematical Society) ; 577.
Temas:
Image processing > Mathematics > Congresses.
Multiscale modeling > Congresses.
Differential equations, Partial > Congresses.
Traitement d'images > Mathématiques > Congrès.
Analyse multiéchelle > Congrès.
Équations aux dérivées partielles > Congrès.
Differential equations, Partial
Image processing > Mathematics
Multiscale modeling
Partial differential equations > Qualitative properties of solutions > Dependence of solutions on initial and boundary data, parameters.
Partial differential equations > Elliptic equations and systems > Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation.
Partial differential equations > Elliptic equations and systems > Boundary value problems for second-order elliptic equations.
Partial differential equations > Parabolic equations and systems > Initial-boundary value problems for higher-order parabolic equations.
Partial differential equations > Miscellaneous topics > Inverse problems.
Numerical analysis > Partial differential equations, initial value and time-dependent initial-boundary value problems > Finite difference methods.
Fluid mechanics > Foundations, constitutive equations, rheology > Liquid crystals.
Partial differential equations > Hyperbolic equations and systems > Wave equation.
Systems theory; control > Controllability, observability, and system structure > Controllability.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions
  • 1. Introduction
  • 2. Enhancement of near cloaking in the quasi-static limit
  • 3. Enhancement of near cloaking for the Helmholtz equation
  • 4. Concluding remarks
  • Appendix A. Statistical sensitivity analysis
  • References
  • Looking at the world through liquid crystal glasses
  • 1. Introduction
  • 2. Polarizing microscopy
  • 3. LC-PolScope: Variable and universal compensators
  • 4. Fluorescence Confocal Polarizing Microscopy
  • 5. Coherent Anti-Stokes Raman Scattering Microscopy6. Fermat Principle and Extraordinary Mode in Liquid Crystals with Gradient Properties
  • 7. Conclusion
  • Acknowledgement
  • References
  • A remark on the observability of conservative linear systems
  • 1. Introduction
  • 2. Proof of the main result
  • 3. Applications
  • 4. Time-discrete conservative systems
  • 5. Ingham type inequalities
  • 6. Further comments an open problems
  • References
  • On the scattered field generated by a ball inhomogeneity of constant index in dimension three
  • 1. Introduction
  • ""2. Main results""""3. Proofs of the main results""; ""Acknowledgements""; ""References""; ""Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: The case of 2 discs""; ""1. Introduction""; ""2. The system of integral equations""; ""3. The spectrum of the Neumann-Poincaré operator for a pair of close-to-touching discs""; ""4. Asymptotics of the layer potential""; ""References""; ""A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting""; ""1. Introduction""; ""2. Self-similar solutions of the equation""
  • 3. Numerical solution with ADI splittingAcknowledgements
  • References
  • Imaging with noise blending
  • 1. Introduction
  • 2. Multi-offset sources
  • 3. Stationary random sources
  • 4. Incoherence by blending
  • 5. Applications
  • 6. Numerical illustrations
  • 7. Conclusion
  • Appendix A. Statistical stability for a continuum of point sources
  • Appendix B. Resolution analysis
  • References
  • Correlations of heterogeneous wave fields propagating in homogeneous media
  • 1. Introduction
  • 2. Main result
  • 3. Radiative transfer models for correlations
  • 4. Correlation filtering and derivation of Result 15. Application to the imaging of sources
  • 6. Numerical simulations
  • 7. Conclusion
  • Acknowledgment
  • References

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