Its annual collection of scientific articles review includes review of leading researchers in the field of numerical analysis and scientific computing. The paper provides an overview of recent developments and presented the most modern methods and analysis. Covering the breadth of the numerical analysis, the articles are written in a style accessible to researchers at all levels and can serve as an advanced teaching aids. Broad subject areas to be included are computational methods in linear algebra, optimization, ordinary differential equations and partial, approximation theory, stochastic analysis and nonlinear dynamic systems.