To meet the demands of real-time applications, temporal-dependent Sylvester equations (TDSEs) are employed to formulate motion planning problems for robot manipulators. Traditionally, the classical ...

In this paper, we provide a systematic review of various motion planning methods. Firstly, we summarize the representative and state-of-the-art works for each submodule of the classical motion ...

This course addresses a number of important mathematical methods often used in physics ... methods to solve differential equations relevant to the physical sciences. are able to apply variational ...

You will be redirected to our submission process. In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many ...

Impact and progress Frontiers' impact Progress Report 2022 All progress reports ...

Jan. 29, 2025 — The universe is getting more disordered, entropy is growing -- this is the second law of thermodynamics. But according to quantum theory, entropy should actually stay the same ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

By devising equations that determine the position and color of each pixel, it's possible to generate complex images. This method involves assigning mathematical functions to control pixel ...