Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

This is a preview. Log in through your library . Abstract We develop a method for computing a nearly singular integral, such as a double layer potential due to sources on a curve in the plane, ...

A numerical error is either of two kinds of error in a calculation. The first (a rounding error) is caused by the finite precision of computations involving floating ...

In the aftermath of the crisis, DSGE modeling using perturbation-based methods has been challenged, as the objective of fine-tuning business cycle fluctuations has been (temporarily) postponed. In ...

The complex-step method is a clever way of obtaining a numerical approximation to the first derivative of a function, avoiding the round-off error that plagues ...

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 ...