Open sje30 opened 5 years ago
Let's just see where everyone has got to with starting each section.
Toms Proposal Problems:
Travelling Salesman (Simulated Annealing, Genetic Algorithm, Elastic Net, Enumeration) Power Series ODEs Linear Algebra Poisson Equation Random Number Generation (Bad RNG)
Erdos [On the Collatz conjecture]: "Mathematics may not be ready for such problems"
More examples:
Monte Carlo Collatz Conjecture Efficient Expansions and Series Convergence of Pi
Markdown:
Weave.jl Jupytxt.jl
More examples (didn't mention earlier):
Linear algebra: Gram Schmidt, LU factorisation, Jacobi method Cryptarithms Orthogonal polynomials, Newton formula, quadrature (Simpson rule), Crank-Nicholson Lorenz equations (maybe advanced, I actually did a CATAM project about this) Recaman sequence, intersection of Recaman and primes e.g. [1] Random walks Steepest descent and optimisation
[1] https://github.com/JamesFergusson/Introduction-to-Research-Computing/blob/master/3_Solutions.ipynb
Location to be confirmed.