The Udwadia-Kalaba formulation is proposed to model the longitudinal dynamics ... of selected constraints equations and associated forces without the need to rewrite the equations of motion. In [1], ...

Abstract: The principle of virtual work is used to derive the Euler-Lagrange equations of motion in order to describe the dynamics of multibody android ... equations through differentiation of the ...

Physics-informed convolutional recurrent network (PhyCRNet) can solve partial differential equations without labeled data by encoding physics constraints into ... the Fourier filter to solve the 2D ...

This Python repository contains the implementation of the finite difference method for solving the Hamilton-Jacobi-Bellman (HJB) equation associated to the importance sampling (IS) problem ... 1d and ...

These interesting features of the Udwadia-Kalaba approach perfectly relate to the problem ... and stationary dynamics. Thanks to the provided explicit form of the equations of motion which do not ...

Abstract: We examine global exponential stability of the primal-dual gradient flow dynamics for differentiable convex problems with linear equality constraints. We show that if the set of equilibrium ...

The stiffness confinement method (SCM) is frequently employed to solve the reactor dynamics equations because it confines the ... Numerical tests with TWIGL and modified 2D LMW benchmark problems show ...

The core of this challenge lies in solving the Navier–Stokes equations ... 2D matrix to represent the computational domain, which sets the determining constraints of the fluid dynamics problems.