Systems and methods are provided for constructing a physical system. Characteristic data associated with a physical system is received. A model of the physical system is built based on the characteristic data. A nonlinear transient simulation of the physical system is performed using the model, where the simulation is performed over a plurality of time intervals. The simulation includes segmenting the plurality of time intervals into groups of time intervals, each group containing multiple time intervals, transmitting data associated with each group of time intervals to a different solving unit, and solving each of the groups of time intervals in parallel using the different solving units. A physical characteristic is determined based on results of the simulation, where the physical system is built or modified based on the simulation-determined physical characteristic.