A Student's Guide to Numerical Methods

Preface, 1. fitting functions to data, 2. ordinary differential equations, 3. two-point boundary conditions, 4. partial differential equations, 5. diffusion: parabolic PDEs, 6. elliptic problems and iterative matrix solution, 7. fluid dynamics and hyperbolic equations, 8. Boltzmann's equation and its solution, 9. energy-resolved diffusive transport, 10. atomistic and particle-in-cell simulation, 11. Monte Carlo techniques 12. Fluid dynamics and hyperbolic equations, 8. Boltzmann's equation and its solution, 9. Energy-resolved diffusive transport, 10. Atomistic and particle-in-cell simulation, 11. Monte Carlo techniques, 12. Monte Carlo radiation transport, 13. Next steps, Appendix A. Summary of matrix algebra, Index.