An anti-diffusive scheme for viability problems

[1]  Jean-Pierre Aubin,et al.  Viability theory , 1991 .

[2]  Sophie Martin,et al.  The Cost of Restoration as a Way of Defining Resilience: a Viability Approach Applied to a Model of Lake Eutrophication , 2004 .

[3]  F. Camilli,et al.  Approximation of Optimal Control Problems with State Constraints: Estimates and Applications , 1996 .

[4]  H. Ishii,et al.  A New Formulation of State Constraint Problems for First-Order PDEs , 1996 .

[5]  A. ADoefaa,et al.  ? ? ? ? f ? ? ? ? ? , 2003 .

[6]  P. Saint-Pierre.  Approximation of the viability kernel , 1994 .

[7]  Christian Mullon,et al.  VIABILITY MODEL OF TROPHIC INTERACTIONS IN MARINE ECOSYSTEMS , 2004 .

[8]  R. Lathe.  Phd by thesis , 1988, Nature.

[9]  Jacques-Louis Lions,et al.  Mathematical Analysis and Numerical Methods for Science and Technology: Volume 5 Evolution Problems I , 1992 .

[10]  Noël Bonneuil,et al.  Making ecosystem models viable , 2003, Bulletin of mathematical biology.

[11]  Christophe Béné,et al.  A viability analysis for a bio-economic model , 2001 .

[12]  Hasnaa Zidani,et al.  Anti-Dissipative Schemes for Advection and Application to Hamilton–Jacobi–Bellmann Equations , 2007, J. Sci. Comput..

[13]  H. Frankowska,et al.  Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations with Degenerate State Constraints , 2000 .

[14]  H. Soner.  Optimal control with state-space constraint I , 1986 .

[15]  Marc Quincampoix,et al.  An Algorithm for Viability Kernels in H?lderian Case: Approximation by Discrete Dynamical Systems , 1993 .

[16]  Rémi Abgrall,et al.  Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations , 2003, SIAM J. Numer. Anal..

[17]  Bruno Després,et al.  Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics , 2002, J. Sci. Comput..

[18]  C. DeWitt-Morette,et al.  Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .

[19]  P. Lions,et al.  Hamilton-Jacobi equations with state constraints , 1990 .

[20]  E. Barron,et al.  Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians , 1990 .

[21]  J. Meditch,et al.  Applied optimal control , 1972, IEEE Transactions on Automatic Control.

[22]  Patrick Saint-Pierre.  Viable Capture Basin for Studying differential and Hybrid Games: Application to Finance , 2004, IGTR.

[23]  E. Barron,et al.  OPTIMAL CONTROL AND SEMICONTINUOUS VISCOSITY SOLUTIONS , 1991 .