S U M M A R Y The stationary Reynolds equation is solved over a rectangular region. The problem is linearized by Picard linearization. The ADI method is used to solve the resulting set of linear equations. A set of parameters is introduced to speed up convergence as well for the Picard linearization as for the ADI method. A comparison is made with Booy-Coleman's method. Results are given for be...

Atopic dermatitis (AD) is a chronic-intermittent eczema-tous dermatitis that starts in early childhood (1). AD can be subdivided into extrinsic (ADe) and intrinsic (ADi) subtypes (2). Although 10–45% of patients with AD have been reported to have ADi, defined as AD with low serum immunoglobulin E (IgE) and no allergen-specific IgE, there are few laboratory markers to diagnose or evaluate the se...

We study a spline wavelet alternative direction implicit (SW-ADI) algorithm for solving two-dimensional reaction diffusion equations. This algorithm is based on a collocation method for PDEs with a specially designed spline wavelet for the Sobolev space H 2(I ) on a closed interval I. By using the tensor product nature of adaptive wavelet meshes, we propose a SW-ADI method for two-dimensional p...

The VIRTUal System (VIRTUS) project is focused on providing advanced features for high performance communication and I/O in cluster environments. In this paper we report our experience in porting MPICH 1.1.x atop the Fast Messages library and how we used the features of FM to provide eecient communication for non-contiguous data structures. The porting concerned two diierent internal interfaces...

An algorithm is presented for constructing an approximate numerical solution to a large scale Lyapunov equation in low rank factored form. The algorithm is based upon a synthesis of an approximate power method and an alternating direction implicit (ADI) method. The former is parameter free and tends to be efficient in practice, but there is little theoretical understanding of its convergence pr...