MECHENG 2850.01: Numerical Methods in Mechanical Engineering

Introduces numerical analysis and scientific computing applied to mechanical systems, covering root-finding, numerical integration, matrix solutions, and numerical ODE solvers using MATLAB.

• Root finding and non-linear systems: bisection, Newton-Raphson, and secant algorithms with convergence criteria in MECHENG 2850.01
• Linear algebraic systems and matrix solvers: LU decomposition, Gauss-Seidel iteration, and condition number error analysis at OSU
• Numerical differentiation and integration: finite difference schemes, trapezoidal rule, Simpson's 1/3 rule, and Gauss quadrature
• Ordinary differential equation integration: Euler's method, Runge-Kutta 4th-order algorithms, and boundary-value shooting methods in Numerical Methods