Let k be a field, G˜ connected reductive k-group, and Γ finite group. In previous work, the authors defined what it means for k-group G to parascopic (G˜,Γ). Roughly, this is simultaneous generalization of several settings. For example, could act on G˜, part group Γ-fixed points in G˜. Or an endoscopic group, pseudo-Levi subgroup, or isogenous image If such both are k-quasisplit, then we constr...

CA2 (Continuum Analysis, 2- dimensional) is a computer program developed by the author. CA2 can solve a variety of complex geotechnical problems using explicit finite difference method. In this paper, an introduction will be given to the theoretical and numerical basis of the program and the capability of the code will be shown by solving a few interesting nonlinear and transient problems. Fina...

In this paper, for the numerical approximation of random partial differential equations (RPDEs) of parabolic type, an explicit higher order finite difference scheme is constructed. In continuation the main properties of deterministic difference schemes, i.e. consistency, stability and convergency are developed for the random cases. It is shown that the proposed random difference scheme has thes...