Numerical Solutions to Partial Differential Equations

Review of linear and nonlinear partial differential equations; elements of variational calculus; finite difference methods for elliptic problems, error analysis, various boundary conditions, non-Cartesian variables, PDE-eigenvalue problems; hyperbolic and parabolic (time-dependent) problems, explicit and implicit methods, stability analysis; Rayleigh-Ritz and Galerkin method for ordinary differential equations, finite-element methods.

The text will be announced later.