User:Rememberlands/sandbox

Thoughts for Additions to Wikibooks

• Ordinary Differential Equations

1. TOC Template
2. TOC box for pages

• Complex Analysis [WL notes?]
• Scientific and Numerical Python?

Thoughts for New Wikibooks

• Computational Methods for Engineers

1. Prelude
   1. Approach of this book
2. Introduction
   1. Importance of computer modeling
   2. Choice of programming language
   3. Major Problem Types
   4. Physical Nature of Problem
   5. Elliptic, Hyperbolic, and Parabolic
   6. Initial and Boundary conditions
   7. Eigenvalue Problems
3. Formal Methods
   1. Finite Differences
   2. Finite Volumes
   3. Finite Elements
   4. Explicit Time Integration
      1. Finite Differences
      2. Runge-Kutta
      3. Multi-step
   5. Implicit Time Integration
      1. Shooting
      2. Crank-Nicholson
      3. Other
   6. Monte-Carlo
4. Nonlinear solution methods
   1. Fixed Point Iteration
   2. Newton's Method
   3. Krylov Subspace Iterations (CG and GRMES, JFNK)
   4. Homotopy Continuation
5. Physics-Based Methods
   1. Ab-initio
   2. Density Functional Theory
   3. Molecular Dynamics
   4. Dissipative Particle Dynamics
   5. Lattice-Boltzmann
   6. Continuum Methods and Direct Numerical Simulations
   7. Thermodynamics Modeling
   8. Systems modeling
   9. Turbulence Models
   10. Weather Models
   11. Orbital Mechanics Models