The Space-Time Mapping Analysis (STMA) method and system provides an engineering method and / or system for modeling and / or analyzing and / or designing and / or building and / or operating complex physical processes, components, devices, and phenomena. STMA can be used in a way for modifying and / or improving the design of many different products, components, processes, and devices, for example. Any physical system, whether existing or proposed, which exhibits, for example, unsteady flow phenomena, might be modeled by the STMA. Thus, STMA can be implemented as a part of an engineering system for design improvements and / or modifications and / or evaluations. The STMA system and / or method uses a space-time mapping technique wherein the space and time directions are treated in an equivalent way, such that, rather than solving a three-dimensional unsteady problem by sweeping in the time direction from an initial point in time to a final point in time, the problem is solved as a four-dimensional problem in space-time.