Explore numerical methods for solving constant velocity kinematics problems! In this video, we cover how to apply numerical ...

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 ...

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 ...

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 ...

We propose a new approach to constructing weak numerical methods for finding solutions to stochastic systems with small noise. For these methods we prove an error ...

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

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 ...

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 ...