Backward stochastic differential equations (BSDEs) have emerged as a pivotal mathematical tool in the analysis of complex systems across finance, physics and engineering. Their formulation, generally ...

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

This is a preview. Log in through your library . Abstract A high-resolution numerical scheme for the computation of viscous shock layers is introduced. The novel feature consists in the use of ...

This is a preview. Log in through your library . Abstract The numerical solution of boundary value problems for linear systems of first order equations with a regular singular point at one endpoint is ...

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 ...

A research team at Kumamoto University (Japan) has unveiled a new mathematical framework that makes it possible to accurately model systems using multiple sensors that operate at different sensing ...

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 ...

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 ...

Machine learning models called convolutional neural networks (CNNs) power technologies like image recognition and language ...