In this course, we focus on the numerical methods for solving the ordinary and partial differential equations. The main contents include single and multi-step methods for ordinary differential equations; finite difference method, finite element method, spectral method for partial differential equations; the related numerical analysis; quality programming for the numerical algorithm.

CILO-1: Construct one-step and multi-step numerical methods for ordinary differential equations. CILO-2: Construct finite difference/element methods for partial differential equations. CILO-3: Analyze the consistency, stability, and convergence order of numerical methods.