•Course: Introduction to Green functions in Physics •Lecturer: Mauro Ferreira •Recommended Bibliography:
... Assessment method: Final year exam ...
... Assessment method: Final year exam ...
Exact equations and integrating factors
... Thus there is no such function . However, if we (incorrectly) proceed as before, we obtain x 3 y xy2 c as our implicitly defined y, which is not a solution of ODE. ...
... Thus there is no such function . However, if we (incorrectly) proceed as before, we obtain x 3 y xy2 c as our implicitly defined y, which is not a solution of ODE. ...
Chapter 4 Molecular Dynamics and Other Dynamics
... just as the Verlet algorithm, it is time-reversible; (2) the system can be started naturally, with initial position q0 and initial momentum p0 = mv0 ; (3) more importantly, the symplectic algorithms A, B, and C have one important property that share with the original Hamiltonian system—they preserve ...
... just as the Verlet algorithm, it is time-reversible; (2) the system can be started naturally, with initial position q0 and initial momentum p0 = mv0 ; (3) more importantly, the symplectic algorithms A, B, and C have one important property that share with the original Hamiltonian system—they preserve ...
Differential Formulation of Boundary Value Problems
... The first boundary value problem for Laplace’s equation consists on the determination of the function u satisfying ∇2 u = 0 inside Ω and subject to u=g at the boundary Γ. It can be shown that this problem has a unique solution even if the boundary conditions are discontinuous. Stability requires tha ...
... The first boundary value problem for Laplace’s equation consists on the determination of the function u satisfying ∇2 u = 0 inside Ω and subject to u=g at the boundary Γ. It can be shown that this problem has a unique solution even if the boundary conditions are discontinuous. Stability requires tha ...
Chapter 11: Angular Momentum Static Equilibrium
... Given: rA = 1.30x107 m, vP/vA = 1.20. Find: rP ? Method: Apply Conservation of Angular Momentum. The gravitational force due to the Earth keeps the satellite in orbit, but that force has a line of action through the center of the orbit, which is the rotation axis of the satellite. Therefore, the sa ...
... Given: rA = 1.30x107 m, vP/vA = 1.20. Find: rP ? Method: Apply Conservation of Angular Momentum. The gravitational force due to the Earth keeps the satellite in orbit, but that force has a line of action through the center of the orbit, which is the rotation axis of the satellite. Therefore, the sa ...
lecture14
... • Integrate acceleration over time to get the velocity and position of body • Note we’ve ignored where the forces are applied to the body • In linear momentum, we don’t keep track of the angular terms and all forces are applied to the CM. ...
... • Integrate acceleration over time to get the velocity and position of body • Note we’ve ignored where the forces are applied to the body • In linear momentum, we don’t keep track of the angular terms and all forces are applied to the CM. ...