Discontinuous solutions of deterministic optimal stopping time problems
Discontinuous solutions of the Cauchy problems for a scalar equation in nonconservative form
Discontinuous travelling wave solutions for a class of dissipative hyperbolic models
Discontinuous shock structure solutions for a general system of balance laws is considered in order to investigate the problem of connecting two equilibrium states lying on different sides of a singular barrier representing a locus of irregular singular points for travelling waves. Within such a theoretical setting a governing system of monoatomic gas is considered.
Discontinuous wave equations and a topological degree for some classes of multi-valued mappings
The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.
Discounted optimal stopping for maxima in diffusion models with finite horizon.
Discrete anisotropic curvature flow of graphs
The evolution of n–dimensional graphs under a weighted curvature flow is approximated by linear finite elements. We obtain optimal error bounds for the normals and the normal velocities of the surfaces in natural norms. Furthermore we prove a global existence result for the continuous problem and present some examples of computed surfaces.
Discrete approximations of generalized RBSDE with random terminal time
The convergence of discrete approximations of generalized reflected backward stochastic differential equations with random terminal time in a general convex domain is studied. Applications to investigation obstacle elliptic problem with Neumann boundary condition for partial differential equations are given.
Discrete coagulation-fragmentation system with transport and diffusion
We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is solved and after we pass to the limit by using compactness properties.
Discrete differential operators in multidimensional Haar wavelet spaces.
Discrete forms of Friedrichs' inequalities in the finite element method
Discrete Ljapunov functionals and -limit sets
Discrete maximum principle for interior penalty discontinuous Galerkin methods
A class of linear elliptic operators has an important qualitative property, the so-called maximum principle. In this paper we investigate how this property can be preserved on the discrete level when an interior penalty discontinuous Galerkin method is applied for the discretization of a 1D elliptic operator. We give mesh conditions for the symmetric and for the incomplete method that establish some connection between the mesh size and the penalty parameter. We then investigate the sharpness of...
Discrete maximum principle in parabolic boundary-value problems
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems.
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions.
Discrete Sobolev inequalities and error estimates for finite volume solutions of convection diffusion equations
The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations
The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce Lp error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Discrete Sobolev spaces and regularity of elliptic difference schemes
Discrete spectrum of the periodic elliptic operator with a differential perturbation
Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems.