The wave scattering problem by a crack Γ in ℝ² with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for ...

Here is classic (and difficult) physics problem that poses an interesting question: Take two points in space, Point 1 and Point 2. What is the path from point 1 to 2 that a frictionless object could ...

This is a preview. Log in through your library . Abstract This paper concerns the application of a finite element method to the numerical solution of a nonrestricted form of the Plateau problem, as ...

Humans have problems with quantum mechanics. We have excellent intuition about the motion of a tennis ball tossed in the air, but what about an electron trapped in a box? The tendency is to use the ...

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 ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Advanced space travel relies on a fundamental understanding of the restricted three-body problem (RTBP), in which one of the ...