Finite Differences MethodCovers the finite differences method for approximating solutions to differential equations through discretization and linear systems.
Finite Element MethodsCovers the application of Newmark schemes for time discretization in the context of energy conservation.
Eigenstate Thermalization HypothesisExplores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Numerical Methods for PDEExplores numerical methods for solving PDEs, including FDM, FVM, and FEM, stiffness matrix calculations, nonlinear PDEs, error control, and patient-specific modeling.