The method described is applicable to quick visualization of high-dimensional systems as well as a general, system-independent model capable of significant optimization in studying large classes of complex systems. With the help of the solution an arbitrary high dimensional system with a number of derivatives studied can be stored like we were only studying 3-dimensional series. Even for small sytems the storage requirement can be decreased with two orders of magnitude. The reconstruction time is less than 0.07 % of that of the time needed for the direct, classical evaluation, this time is quickly decreasing with the number of elements. The model is general enough for answering questions in economy, medicine, ecology, computer science, natural sciences, construction engineering etc.