Applied Mathematics and Numerical Methods for Chemical Engineers II

CT Score

1500

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CHBE 301 and MATH 211 Description: Computer arithmetic, round-off and truncation errors, conditioning. Curve fitting and least squares, nonlinear regression. Systems of nonlinear equations: Picard’s method. Newton-Raphson, continuation methods. Initial Value Problems: Euler’s methods (explicit and implicit); Higher-order Runge-Kutta methods; Adaptive Runge-Kutta methods; Systems of ordinary differential equations; Numerical stability; Stiff systems; Multistep methods. Dynamical Systems: Equilibrium points and their stability, periodic solutions, limit cycles. Boundary Value Problems: ODE and PDE boundary value problems, finite difference approximations, Dirichlet, Neumann and mixed boundary conditions, Poisson’s equation, coupled BVPs. Time-dependent PDEs: Method of lines, numerical stability. Case studies from reaction engineering, thermodynamics, heat and mass transfer and fluid mechanics→CHBE 305→unlocks 5 courses

5 mapped courses list CHBE 305 as a prerequisite. See on the map →

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