ChE-312: Numerical methods

Lectures in this course (30)

Covers stiff systems in ODEs with different time scales and numerical integration methods.

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Explores Runge-Kutta methods to estimate functions at multiple points for improved error estimation.

Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.

Explores Runge-Kutta and multistep methods for solving ODEs, comparing their accuracy and efficiency.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

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