A class of alternating group explicit iterative method using the C-N scheme is derived for solving four order parabolic equations, and the analysis for convergency is given. In the end, the numerical result is given, which shows the iterative method is convergent, high precision, and is suitable for parallel computing. 1 Preface In Science and engineering computing, parabolic equations are impo...

This study describes the effects of bounce, brake, and roll behavior of a bus toward its leaf spring suspension systems. Parabolic leaf springs are designed based on vertical deflection and stress; however, loads are practically derived from various modes especially under harsh road drives or emergency braking. Parabolic leaf springs must sustain these loads without failing to ensure bus and pa...

J. Reine Angew. Math 436 (1993), pp. 209– 219. Stony Brook IMS Preprint #1991/23 December 1991 Let G ⊂ PSL(2,C) be a geometrically finite Kleinian group, with region of discontinuity Ω(G). By Ahlfors’ finiteness theorem, the quotient, Ω(G)/G, is a finite union of Riemann surfaces of finite type. Thus on it, there are only finitely many mutually disjoint free homotopy classes of simple closed cu...

For a semisimple Lie group G with parabolic subgroups Q ⊂ P ⊂ G, we associate to a parabolic geometry of type (G,P ) on a smooth manifold N the correspondence space CN , which is the total space of a fiber bundle over N with fiber a generalized flag manifold, and construct a canonical parabolic geometry of type (G,Q) on CN . Conversely, for a parabolic geometry of type (G,Q) on a smooth manifol...

In this paper, we expand circular arc triangulations with parabolic arcs, which are triangulations whose edges are circular or parabolic arcs. Creating triangulations this way bears several advantages if angles are to be optimized, especially for finite element method. A typical reason for the occurrence of small angles in a straight line triangulation is that the geometry of the vertex set for...

The chains studied in this paper generalize Chern–Moser chains for CR structures. They form a distinguished family of one dimensional submanifolds in manifolds endowed with a parabolic contact structure. Both the parabolic contact structure and the system of chains can be equivalently encoded as Cartan geometries (of different types). The aim of this paper is to study the relation between these...

In this paper, a moving boundary technique is developed to investigate wave runup and rundown with depth-integratedequations. Highly nonlinear and weakly dispersive equations are solved using a high-order finite difference scheme. An eddyviscosity model is adopted for wave breaking so as to investigate breaking wave runup. The moving boundary technique utilizeslinear extrapolation t...