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.

Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational method and the use of finite basis set. In each case, a specific example is ...

FEP calculations have had a revolutionary effect on computational chemistry. In conjunction with molecular dynamics and Monte Carlo simulations, they have enabled the calculation of free energy ...

Rigorous treatments based on physical effective energy functions involve computationally expensive methods such as free energy perturbation ... interfaces (for example, the insulin dimer interface ...