Recent Advances in Computational Mathematics

This title covers topics such as: numerically viable structures and large-scale matrices (Eugene E. Tyrtyshnikov); fast algorithms for the electromagnetic scattering from rectangular cavities (Ying-xi Wang, Kui Du, and Wei-wei Sun); nonnegative matrix factorization for interactive hidden Markov models (Eric S. Fung and Michael K. Ng); structured backward error analysis for linear systems from electromagnetic scattering (Wen Li); inexact global FOM and GMRES methods for solving linear systems with multiple right-hand sides (Kui Du and Yi-min Wei); on convergence rate of the GMRES method (Xiao-qing Jin, Wei Wang, and Yi-min Wei); numerical comparison of Monte Carlo methods for linear systems (Deng Ding, Xiao-qing Jin, and Ying-ying Zhang); and, numerical solutions for reflected stochastic differential equations (Deng Ding and Ying-ying Zhang). It also covers: a preconditioner from Crank-Nicolson scheme for systems of LMF-based ODE code (Jia-xun Hou and Hai-wei Sun); particle motion in stationary homogeneous isotropic turbulence (Vai-kuong Sin); and, a bound on spectrum of circulant preconditioned elliptic operators (Seak-weng Vong).