For a linear ordinary differential equation of variable coefficients in which the highest order derivative $d^{n}y/dx^n$ is multiplied by a small parameter $\epsilon ...

Building on ES_APPM 420-1, this course covers advanced perturbation and asymptotic methods. They may include methods for ordinary differential equations (e.g. WKB method), for integrals (e.g.

Black holes are some of the most intriguing objects in the Universe. Their gravitational pull is so strong that not even light can escape from their surfaces. Astronomers can only observe light ...

Scientists have uncovered a breakthrough in our understanding of black holes by using a powerful mathematical tool known as the exact Wentzel-Kramers-Brillouin (WKB) method. The study, published in ...

Figure 1: The merger of two black holes can set off vibrations in the resulting black hole. RIKEN researchers have analyzed these vibrations using a versatile ...