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Aug 01, 2025
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MATH 6820 - Numerical Solution of Ordinary Differential Equations
Numerical methods and analysis for ODEs with applications from mechanics, optics, and chaotic dynamics. Numerical methods for dynamical systems include Runge-Kutta, multistep and extrapolation techniques, methods for conservative and Hamiltonian systems, methods for stiff differential equations and for differential-algebraic systems. Methods for boundary value problems include shooting and orthogonalization, finite difference and collocation techniques, and special methods for problems with boundary or shock layers.
Prerequisite or Corequisite: None, but knowledge of Numerical Computing at the level of MATH 4800 or CSCI 4800 is recommended.
When Offered: FALL TERM, EVEN YEARS
Cross Listed: CSCI 6820 . Students cannot obtain credit for both this course and CSCI 6820 .
Graded: GRADED
Credit Hours: 4
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