I. Introduction and Fundamentals. 1. Introduction. 2. Modeling and Simulation in Materials Science. 3. Fundamentals and Solution of Differential Equations -- II. Simulation Techniques at the Nano-Micro Scale. 4. Fundamentals. 5. Statistical Mechanics in Atomic-Scale Simulations. 6. Monte Carlo Simulation and Integration. 7. Molecular Dynamics -- III. Simulation Techniques at the Micro-Meso Scale. 8. Introduction. 9. Discrete Dislocation Statics and Dynamics. 10. Ginzburg - Landau - Type Phase Field Kinetic Models. 11. Cellular Automata. 12. Mesoscale Kinetic Monte Carlo and Potts Models. 13. Geometrical and Component Models. 14. Topological Network and Vertex Models -- IV. Simulation Techniques at the Meso-Macro Scale. 15. Introduction. 16. Finite Element and Difference Methods at the Meso - Macroscale. 17. Polycrystal Elasticity and Plasticity Models -- V. Integrated Modeling and Simulation. 18. Fundamentals. 19. Space and Time Scales in Microstructure Simulation -- Appendices. Appendix A: General Reading -- Appendix B: Computer Classification -- Appendix C: Advanced Empirical Methods -- Appendix D: Percolation Theory -- References -- Index
