1. A system, comprising: a computer system comprising at least one processor; a thermodynamic state solver application that, when executed by the at least one processor, computes a flash equilibrium state solution for each of a plurality of nodes in a thermodynamic network and determines for each of the plurality of nodes at least two sensitivities of a first thermodynamic property with reference to at least one second thermodynamic property and a third thermodynamic property, wherein a first sensitivity of the first thermodynamic property with reference to the second thermodynamic property is determined to be more significant than a second sensitivity of the first thermodynamic property with reference to the third thermodynamic property; and a thermodynamic system solver application that, when executed by the at least one processor; computes a pressure at each of the nodes and flows between the nodes based at least in part on an estimate of a thermodynamic property determined as a function of the at least one sensitivity, the estimate being based on a linearization scheme, wherein a result based on the pressures and flows is determined, wherein the estimate is computed by omitting consideration of the second sensitivity, and wherein the system processes the result to execute at least one action from the following group of actions: controlling a thermodynamic process control component, training an operator of the thermodynamic process control component, predicting a failure time of the thermodynamic process control component, optimizing the tuning of process control elements, validating a design for the thermodynamic process control component, controlling a chemical process control component, training an operator of the chemical process control component, predicting a failure time of the chemical process control component, optimizing the tuning of process control elements, and validating a design for the chemical process control component.