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AMATH 481

Scientific Computing
Fall quarter, 2018
Taught by Professor Eli Shlizerman

Description

Survey of practical numerical solution techniques for ordinary and partial differential systems. Emphasis will be on implementation of numerical schemes to practical problems of engineering and physical sciences. Methods for partial differential equations will include finite differences, finite elements and spectral techniques. Full use will be made of MATLAB and its built-in programming and solving functionality.

Assignments

  • Homework 0: CompSoftBook Practice (link)
  • Homework 1: Initial Value Problems (link)
  • Homework 2: Quantum Harmonic Oscillator / Boundary Value Problems (link)
  • Homework 3: Sparse Matrices and FFT (link)
  • Homework 4: Computing Vorticity-Streamfunction Equations (link)
  • Homework 5: Reaction-Diffusion Equations (link)
  • Final project: Bose-Einstein Condensation in 3D (link)

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