Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a very active and central role in the scientific world.This volume contains 14 high quality survey articles - incorporating original results and describing the main research activities of contemporary applied mathematics - written by top people in the field. The articles have been written in review style, so that the researcher can have a quick and thorough view of what is happening in the main subfields of applied mathematics.
Two contemporary computational concepts in numerical analysis, I.K. Argyros; on the simultaneous approximation of functions and their derivatives, T. Kilgore; copositive polynomial approximation revisited, Y.K. Hu and M. Yu; sampling theory and function spaces, H-J. Schmeisser and W. Sickel; evaluating statistical functionals by means of projections onto convex cones in Hilbert spaces - Part I and II, T. Rychlik; extrapolation - from calculation of pie to finite element method of partial differential equations, X-P. Shen; a survey on scaling function interpolation and approximation, E-B. Lin. (Part contents)