A new shock filter model designed to sharpen numerically diffused discontinuities in a conservative fashion is presented. Besides the description of the modeling, the discussion includes a mathematically rigorous validation with respect to the meaning of the model as well as a presentation of some numerical results
AbstractIn Part I of this paper, we proposed a well-posed generalized model for signal enhancement a...
A wide class of difference equations is described for approximating discontinuous time dependent sol...
The present thesis investigates how explicit filters can be useful in numerical simulations of turbu...
AbstractA new shock filter model designed to sharpen numerically diffused discontinuities in a conse...
We consider a recently developed conservative shock filter model in order to postprocess numerical s...
The development of the shock capturing methodology is reviewed, paying special attention to the incr...
While shock filters are popular morphological image enhancement methods, no well-posedness theory is...
Hyperbolische Erhaltungsgleichungen besitzen die Eigenschaft, dass ihre verallgemeinerten Lösungen s...
The development is reviewed of shock capturing methods, paying special attention to the increasing n...
The new theory of shock dynamics proposed by Ravindran and Prasad has been considered with initial ...
This work integrates nonlinear discrete dissipation models -- namely anisotropic diffusion filters -...
AbstractSignal enhancement and restoration is one of the fields that make extensive use of PDE theor...
Recent developments which have improved the understanding of how finite difference methods resolve d...
The discontinuities in the solutions of systems of conservation laws are widely considered as one of...
This thesis consists of an introduction and five papers concerning different numerical and mathemati...
AbstractIn Part I of this paper, we proposed a well-posed generalized model for signal enhancement a...
A wide class of difference equations is described for approximating discontinuous time dependent sol...
The present thesis investigates how explicit filters can be useful in numerical simulations of turbu...
AbstractA new shock filter model designed to sharpen numerically diffused discontinuities in a conse...
We consider a recently developed conservative shock filter model in order to postprocess numerical s...
The development of the shock capturing methodology is reviewed, paying special attention to the incr...
While shock filters are popular morphological image enhancement methods, no well-posedness theory is...
Hyperbolische Erhaltungsgleichungen besitzen die Eigenschaft, dass ihre verallgemeinerten Lösungen s...
The development is reviewed of shock capturing methods, paying special attention to the increasing n...
The new theory of shock dynamics proposed by Ravindran and Prasad has been considered with initial ...
This work integrates nonlinear discrete dissipation models -- namely anisotropic diffusion filters -...
AbstractSignal enhancement and restoration is one of the fields that make extensive use of PDE theor...
Recent developments which have improved the understanding of how finite difference methods resolve d...
The discontinuities in the solutions of systems of conservation laws are widely considered as one of...
This thesis consists of an introduction and five papers concerning different numerical and mathemati...
AbstractIn Part I of this paper, we proposed a well-posed generalized model for signal enhancement a...
A wide class of difference equations is described for approximating discontinuous time dependent sol...
The present thesis investigates how explicit filters can be useful in numerical simulations of turbu...