Deep learning models have shown great potential in predicting and engineering functional enzymes and proteins. Does this prowess extend to other fields of biology as well? Contrary to expectations, a ...

Perturbation methods are used to provide approximate solutions of nonlinear problems characterized by the presence of a small parameter. These approximations represent an asymptotic series expansion ...

We have on several occasions mentioned that truly Keplerian orbits are essentially nonexistent and have given methods for analyzing some of the perturbations to Keplerian orbits that are important in ...

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational ...

Understanding how drugs interact with biological systems remains one of the biggest challenges in drug discovery and precision medicine. While genomic and transcriptomic technologies have transformed ...

A recent study, led by Sabre Kais, Distinguished Professor of Chemistry and professor of electrical and computer engineering at Purdue University, and IBM’s Barbara Jones, used a quantum computer to ...

Is it possible for a deterministic system to be unpredictable? Although counter-intuitive, the answer is yes. Such systems are called “chaotic systems,” which are characterized by sensitive dependence ...

Asymptotic expansions of integrals. Regular and singular perturbation methods for ordinary and partial differential equations. Boundary layer theory. Matched asymptotic expansions. Homogenization. Two ...