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Applications of Numerical Methods in Engineering CNS 3320

Applications of Numerical Methods in EngineeringCNS 3320 James T. AllisonUniversity of MichiganDepartment of Mechanical EngineeringJanuary 10, 2005 University of Michigan Department of Mechanical EngineeringApplications of Numerical Methods in EngineeringObjectives:BMotivate the study of Numerical Methods through discussion ofengineering the use ofMatlabusing simple Numerical of Michigan Department of Mechanical EngineeringJanuary 10, 2005 Lecture Overview Quantitative Engineering Activities: Analysis and Design Selected Categories of Numerical Methods and Applications Linearization Finding Roots of Functions Solving Systems of Equations Optimization Numerical Integration and Differentiation Selected Additional Applications MatlabExample: Fixed Point Iteration MatlabExample.

B Illustrate the use of Matlab using simple numerical examples. University of Michigan Department of Mechanical Engineering January 10, 2005. Lecture Overview ... ∗ Dynamics (Newton-Euler & Lagrange’s equations) – Finite Element Method ∗ Solid Mechanics (Elasticity equations) ∗ Heat Transfer (Heat equation)

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