a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

Eukaryotic genomic DNA is combined with histones, nonhistone proteins, and RNA to form chromatin, which is extensively packaged hierarchically to fit inside a cell's nucleus. The nucleosome-comprising a histone octamer with 147 base pairs of DNA wrapped around it-is the initial level and the repeating unit of chromatin packaging, which electron microscopy first made visible to the human eye as ...

We propose new discontinuous finite element methods that can be applied to one-dimensional elliptic problems with discontinuous coefficients. These methods are based on a class of higher degree immersed finite element spaces and can be used with a mesh independent of the location of coefficient discontinuity. Numerical experiments are presented to show that these methods can achieve optimal con...

We adapt methodology of statistical mechanics and quantum field theory to approximate solutions to an arbitrary order ordinary differential equation boundary value problem by a second-order equation. In particular, we study equations involving the derivative of a double-well potential such as u− u3 or − u + 2u3. Using momentum (Fourier) space variables we average over short length scales and de...

A class of primal dual interior point methods is developed These methods use a higher order Taylor polynomial to approximate a primal dual trajectory de ned from an infeasible point A detailed implementation of these methods is given and their computational performance is studied We give computational results for two di erent approaches for de ning trajectory and using up to th order polynomial...

Article history: Available online 30 July 2011