In the past few decades, the use of phase field-modeling equations for mathematical modeling has progressed. Phase separation has been studied extensively in thermodynamics and materials engineering, ...

Pattern formation in physical, biological, and sociological systems has been studied for many years. One area where it has been of growing interest is in crime modeling. Pattern formation in physical, ...

Applying a few simplifying assumptions and constructing a set of ordinary differential equations leads to a model that ...

Complex natural systems defy standard mathematical analysis, so one ecologist is throwing out the equations. Sometimes ecological data just don’t make sense. The sockeye salmon that spawn in British ...

A closed-loop drilling system, to be effective, requires reliable two-way communication between the downhole module and surface. 1 2 Today's drilling industry uses mud-pressure pulse telemetry as one ...

Variable names are alphanumeric but must start with a letter. The length of a variable name is limited to thirty-two characters for non-SAS data set variables Model variables are declared by VAR, ...