In this paper we investigate the L∞-stability of fully discrete approximations of abstract linear parabolic partial differential equations (PDEs). The method under consideration is based on an hp-type ...

The present paper is devoted to the investigation of the properties of the space of distributions with discontinuous test functions of several variables. The consideration of discontinuous test ...

Conservation laws serve as a cornerstone in modelling the evolution of physical quantities such as mass, momentum and energy. Recent advances have placed a particular emphasis on systems where the ...