PHYS514-Problem_Sets

PHYS514 - Computational Physics course problem sets

Problem Set 1

• Numbers
• Significance of digits
• Approximations (i.e., Taylor Series)

Problem Set 2-3

• Root finding
• Optimization
• Eigenvalues and eigenvectors In MATLAB and Python seperately

Problem Set 4

• Curve fitting

Problem Set 5

• Finite differences
• Numerical derivation
• Numerical integration

Problem Set 6

• Genetic algorithm
• Ordinary differential equations

Problem Set 7

• Partial differential equations
• Boundary value problems
• Eigenfunctions
• Advanced partial differential equations