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Numerical methods for viscosity solutions and applications /

This volume contains 12 papers dealing with the approximation of first- and second-order problems which arise in many fields of application including optimal control, image processing, geometrical optics and front propagation. Some contributions deal with new algorithms and technical issues related...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Falcone, Maurizio, Makridakis, Charalampos
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; New Jersey : World Scientific, ©2001.
Colección:Series on advances in mathematics for applied sciences ; v. 59.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Geometrical optics and viscosity solutions / A.-P. Blanc, G.T. Kossioris and G.N. Makrakis
  • Computation of vorticity evolution for a cylindrical Type-II superconductor subject to parallel and transverse applied magnetic fields / A. Briggs [and others]
  • A characterization of the value function for a class of degenerate control problems / F. Camilli
  • Some microstructures in three dimensions / M. Chipot and V. Lecuyer
  • Convergence of numerical schemes for the approximation of level set solutions to mean curvature flow / K. Deckelnick and G. Dziuk
  • Optimal discretization steps in semi-lagrangian approximation of first-order PDEs / M. Falcone, R. Ferretti and T. Manfroni
  • Convergence past singularities to the forced mean curvature flow for a modified reaction-diffusion approach / F. Fierro
  • The viscosity-duality solutions approach to geometric pptics for the Helmholtz equation / L. Gosse and F. James
  • Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations / L. Grune
  • Solution and application of anisotropic curvature driven evolution of curves (and surfaces) / K. Mikula
  • An adaptive scheme on unstructured grids for the shape-from-shading problem / M. Sagona and A. Seghini
  • On a posteriori error estimation for constant obstacle problems / A. Veeser.