Created with R2025a. Compatible with R2025a and later releases. You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. Starting from ...

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs). Phase Plane app: Analyze two-dimensional autonomous ODE systems. Slope Field app: ...

The mechanical behavior of viscoelastic materials is influenced, among other factors, by parameters like time and temperature. The present paper proposes a methodology for a thermorheologically and ...

Climate and ocean models use a series of equations to represent complex natural processes. However, the equations used in ...

More than 20% of the workload on the world's 500 fastest supercomputers is spent simulating how atoms and molecules move—with applications ranging from material design to identifying drug interactions ...

Abstract: We consider the application of a formulation of passivity-based control (PBC), known as interconnection and damping assignment (IDA) to the problem of stabilization of underactuated ...

The Kirchhoff equations were simulated with a discrete differential geometry algorithm (38, 39), using a Verlet time-stepping scheme. Each rod was discretized into 50 elements. One simulation time ...