In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...

Find the forces on the object. Find the new momentum (based on the force and the small time interval) Find the new position (based on the velocity and time interval). Simple. And it even works most of ...

A new study provides a rigorous theoretical and numerical analysis of the accuracy of the method of characteristics (MoC), a ...