Records reviewed by WIRED show law enforcement agencies are eager to take advantage of the data trails generated by a flood of new internet-connected vehicle features. Santa’s helpers are freaking out ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Ordinary finite differences -- Divided differences -- Central differences -- Inverse interpolation and the solution of equations -- Computation with series and integrals -- Numerical solution of ...

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 ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

This course provides a more advanced mathematical treatment of the topics covered in 98.481, with extensive application of computer techniques to numerical problem solving that is applicable to ...

Methods for simulating sharp interfaces. Marker particle, level set, fast marching, volume of fluid, and phase field methods. Recommended text: Level Set Methods and Fast Marching Methods: Evolving ...

This is a preview. Log in through your library . Abstract The degenerate parabolic equation $$\frac{\partial u}{\partial t} = \nabla \cdot (|u|^\nu\nabla u), \nu ...

We study numerical methods for the one-dimensional inverse problem of reflection seismology. An impulsive plane wave in pressure is applied to the surface of a piecewise smooth stratified elastic half ...

As the name of the "Virtual Engine and Numerical Methods" department suggests, this department combines research activities on the "virtual engine" and on cross-scale numerical methods as virtual test ...