Numerical methods in astrophysics : an introduction /: an introduction. (2006)

• Record Type: Book
• Further Information: Note: Peter Bodenheimer [and three others].
• Other Names: Bodenheimer, P
• Contents: Basic Equations ; The Boltzmann Equation; Conservation Laws of Hydrodynamics; The Validity of the Continuous Medium Approximation; Eulerian and Lagrangian Formulation of Hydrodynamics; Viscosity and Navier–Stokes Equations; Radiation Transfer; Conducting and Magnetized Media; Numerical Approximations to Partial Differential Equations ; Numerical Modeling with Finite-Difference Equations; Difference Quotient; Discrete Representation of Variables, Functions, and Derivatives; Stability of Finite-Difference Methods; Physical Meaning of Stability Criterion; A Useful Implicit Scheme; Diffusion, Dispersion, and Grid Resolution Limit; Alternative Methods; N -Body Particle Methods ; Introduction to the N -Body Problem; Euler and Runge–Kutta Methods; The Description of Orbital Motion in Terms of Orbital Elements; The Few-Body Problem: Bulirsch–Stoer Integration; Lyapunov Time Estimation; Symplectic Integration; N- Body Codes for Large N ; Close Encounters and Regularization; Force Calculation: The Tree Method; Force Calculation: Fast Fourier Transforms; Smoothed Particle Hydrodynamics ; Rudimentary SPH; Colliding Planets: An SPH Test Problem; Necessary Improvements to Rudimentary SPH; Summary; Stellar Evolution ; Equations for Equilibrium of a Star; Radiative, Conductive, and Convective Energy Transfer; Change in Chemical Composition; Boundary Conditions; An Implicit Lagrangian Technique: Henyey Method; Physics Packages; Examples; Grid-Based Hydrodynamics ; Flow Discontinuities and How to Handle Them; A Simple Lagrangian Hydrocode; Basic Eulerian Techniques; Adaptive Mesh Refinement; A Multidimensional Eulerian Hydrocode; 2 1/2-Dimensional Simulations; Examples; Poisson Equation ; Poisson Solutions: I; Poisson Solutions: II; Test of the Potential; Magnetohydrodynamics ; Basic Assumptions and Definitions; MHD Source Terms; Solving the Induction Equation; Initial and Boundary Conditions; Examples and Exercises; Concluding Remarks; Radiation Transport ; Solving the Ray Equation for the Continuum; Solution for Frequency-Dependent Radiation Transfer in Spherical Symmetry; Frequency-Dependent Stellar Atmospheres; Technique for Flux-Limited Diffusion in Two Space Dimensions; Example: Spectrum of a Rotating, Collapsing Object; Example: 3-D Calculations of the Solar Photosphere; Numerical Codes ; Radiation Transfer; Stellar Evolution; One-Dimensional Lagrangian Hydro; ZEUS: 3-D Hydrodynamics; N -Body Codes; Smoothed Particle Hydrodynamics; INDEX ; References appear in each chapter.
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2006
• Extent: 1 online resource, illustrations
• Subjects: 523.010151; Astrophysics -- Mathematics; Hydrodynamics; Radiative transfer; Differential equations, Partial -- Numerical solutions
• Languages: English
• ISBNs: 9781420011869; 1420011863
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.