2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo, BC, Canada. Electronic Journal of Differential Equations, Conference 12, 2005, pp. 103-116. Title: Pointwise representation method Authors: Vladimir Mihajlovich Osipov (Krasnoyarsk State Academy, Russia) Vladimir Vladimirovich Osipov (Krasnoyarsk State Academy, Russia) Abstract: This article suggests an approximate analytical apparatus for modeling linear dynamic system of various types. This apparatus uses spline step models and point depictions of functions and operators. Published April 20, 2005. Math Subject Classifications: 93C05, 37M05, 37N35, 62J10. Key Words: Modeling; linear dynamic system; point representation.