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  • 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

See also[edit]