document: From continuous recovery to discrete filtering in numerical approximations of conservation laws Modern numerical approximations of conservation laws rely on numerical dissipation as a means of stabilization . The older , alternative approach is the use of central differencing with a dose of artificial dissipation . In this paper we review the successful class of weighted essentially non-oscillatory finite volume schemes which comprise sophisticated methods of the first kind . New developments in image processing have made new devices possible which can serve as highly nonlinear artificial dissipation terms . We view artificial dissipation as discrete filter operation and introduce several new algorithms inspired by image processing
doc_bio_tags: O B I O B I O B I O B I O B I O B I O O B I O O O O O O O O O O O O O O O B I O O O O B I O O O O O O O O O O O O O B I I O O O O O O O O O O O O B I O O O O O O O O O O O B I O O O O B I O B I I O O O O O O O B I
extractive_keyphrases: continuous recovery discrete filtering numerical approximations conservation laws numerical dissipation central differencing artificial dissipation finite volume schemes image processing discrete filter operation
abstractive_keyphrases: highly nonlinear artificial dissipation terms