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(Dual-listed with MATH 581). (Cross-listed with COM S). (3-0) Cr. 3. S.

Prereq: MATH 265; (MATH 266 or MATH 267)
First order Euler method, high order Runge-Kutta methods, and multistep methods for solving ordinary differential equations. Finite difference and finite element methods for solving partial differential equations. Local truncation error, stability, and convergence for finite difference method. Numerical solution space, polynomial approximation, and error estimate for finite element method. Computer programming required.