Notebooks ODE_1. Solving Differential equations ODE_2. Chaotic Driven Pendulum ODE_3. Instanton in Pendulum PDE_1. Relaxation PDE_2. Neutron_TrafficFlow_Tsunami PDE_3. Quantum mechanics ED_1.   Heisenberg Chain ED_2. Symmetry

Run in Colab Run in Colab Run in Colab Run in Colab Run in Colab Run in Colab Run in Colab Run in Colab

Lecture Notes

Chap_0
Chap_1_1
Chap_1_2
Chap_1_3
Chap_1_4
Chap_2_1
Chap_2_2
Chap_3_1

Additional Materials

1. The original paper by Verlet [Phys. Rev. 159, 98 (1967)]

2. Numerical Recipes, The Art of Scientific Computing  Numerical Recipes

3. The original paper of Metropolis algorithm [J. Chem. Phys. 21, 1087–1092 (1953)]

4. Derivation of the Shallow Water equation, see Appendix of [J. Math. Phys. 10, 536–539 (1969)]