Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Find the forces on the object. Find the new momentum (based on the force and the small time interval) Find the new position (based on the velocity and time interval). Simple. And it even works most of ...

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 A method for numerical inversion of the Laplace transform based on Tikhonov regularization is described. The method requires values of u(s) ...