- 1. First order integration of ODE
- 2. Heat equation
- 3. Heat equation: spikes
- 4. Linear advection: crash
- 5. Flux centering
- 6. Stencil diagram
- 7. Stencil diagrams: spatial centering
- 8. Stencil diagrams: time-centering
- 9. Naive scheme: stencil diagram and test
- 10. Implicit scheme: stencil diagram and test
- 11. BTCS scheme: stencil diagram and test
- 12. Stencil, example for donor cell scheme
- 13. Stencil, example for FTFS scheme
- 14. Stencil, example for Lax-Friedrichs scheme
- 15. Stencil, example for Lax-Wendroff scheme
- 16. Stencil, example for Beam-Warming scheme
- 17. Stencil, example for Fromm scheme
- 18. Example for Lax-Wendroff and Beam-Warming scheme
- 19. Stencil, example for PLM/Minmod scheme
- 20. Stencil, example for PLM/vanLeer scheme
- 21. Stencil, example for PLM/Superbee scheme
- 22. Stencil, example for PPM scheme
- 23. Stencil, example for WENO scheme
- 24. Stencil, example for sharpened PLM/Superbee scheme
- 25. Jump
- 26. Riemann problems for Burgers equation
- 27. Shock from small-amplitude wave
- 28. Non-conservative scheme
- 29. Non-conservative scheme
- 30. Expansion shock
- 31. Sod shock tube
- 32. Many Riemann problems
- 33. Sod shock tube, constant
- 34. Sod shock tube, Minmod
- 35. Sod shock tube, vanLeer
- 36. Sod shock tube, Superbee
- 37. Sod shock tube, PP